U.S. DEPARTMENT OF COMMERCE
                             National Ttdmical Information Service
                             PB-274 548
Environmental Pathways of Selected
Chemicals in Freshwater Systems. Part I
Background and  Experimental  Procedures

SRI International, Menlo Park, Calif
Prepared for

Environmental Research Lab, Athens, Ga

Oct 77

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                                               EPA-600/7-77-113
                                               October  1977
  ENVIRONMENTAL PATHWAYS OF SELECTED CHEMICALS
             IN FRESHWATER SYSTEMS
Part I:  Background and Experimental Procedures
                       by

      J.  H.  Smith,  W.  R.  Mabey, N.  Bohonos,
       B. R.  Holt,  S.  S.  Lee, T.-W. Chou,
         D.  C.  Bomberger, and T. Mill

              SRI International
         Menlo  Park, California  94025
            Contract  No.  68-03-2227
               Project Officer
               George Baughman
        Environmental Processes Branch
       Environmental Research Laboratory
            Athens, Georgia  30605
        ENVIRONMENTAL RESEARCH LABORATORY
       OFFICE OF RESEARCH AND DEVELOPMENT
      U.S.  ENVIRONMENTAL PROTECTION AGENCY
            ATHENS, GEORGIA  30605
                      ib
I

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                                  TECHNICAL REPORT DATA
                           (Please read Instructions on the reverse before o
1 REPORT NO
 EPA-600/7-77-113
                             2,
4 TITLE_ANOjSUBTITLE
  "ENVIRONMBJtAL" PATHWAYS OF SELECTED CHEMICALS IN
  FRESHWATER SYSTEMS
  Part  I:   Background and Experimental Procedures
                                                          o. HtfORT DATE
                                                           October 1977 issuing date
                                                          5. PERFORMING ORGANIZATION CODE
7 AUTHORIS)
  J. H.  Smith, W. R. Mabey, N. Bohonos, B. R. Holt,
  S. S.  Lee,  T-W. Chou, D. C. Bombecger, and T. Mill
                                                          B PERFORMING ORGANIZATION REPORT NO.
                                                          10. PROGRAM ELEMENT NO.
                                                             LNE625
                                                          11. CONTRACT/GRANT NO.
                                                            68-03-2227
9 PERFORMING ORGANIZATION NAME AND ADDRESS
 Stanford  Research Institute
 333 Ravenswood Avenue
 Kenlo  Park,  California  94025
 12. SPONSORING AGENCY NAME AND ADDRESS
  Environmental  Research Laboratory - Athens, GA
  Office of Research and Development
  U.S. Environmental Protection Agency
  College Station Road,   Athens, GA  30605
                                                          13. TYPE OF REPORT AND PERIOD COVERED
                                                          Final,  6/30/75  to 4/30/77
                                                            . SPONSORING AGENCY CODE
                                                           EPA/600/01
15. SUPPLEMENTARY NOTES
  Part II describes the results of  specific  laboratory and modeling studies with 11
  organic chemicals-selected for  this program.
 16. ABSTRACT
       This research was initiated  to develop  environmental exposure assessment proce-
 dures that can be used to predict the  pathways  of  potentially harmful chemicals in
 freshwater environments.  The approach is  based  on three premises:  (1) the overall
 rate  of disappearance of a chemical from the aquatic environment is controlled only
 by  the dominant transformation and transport processes,  (2) these processes can be
 studied independently in the laboratory, and (3) the laboratory data can be extra-
 polated to environmental conditions.
       Laboratory procedures have been developed  for measuring the rates of volatiliza-
 tion, photolysis, oxidation, hydrolysis, and biotransformation as well as the sorption
 partition coefficients on natural sediments  and  on a mixture of four bacteria.  Two
 models have been used to extrapolate the laboratory results to the environment.  The
 one-compartment model assemes that the aquatic  system is a single well-mixed reactor
 from  which chemicals are transformed,  degraded,  and/or transported.  It can be used to
 analyze acute discharges such as  spills and  to  establish priorities for in-depth labo-
 ratory studies.  The nine-compartment  computer model is  used to study the effect of
 transport and transformation processes studied  in  the laboratory on the distribution
 of  a  chemical in ponds, streams,  and eutrophic  and oligotrophlc lakes.  Part II of
 this  report describes the application  of these  procedures to environmental assessment
 to  the distribution and fate of eleven organic  compounds.	
17.
                                KEY WORDS AND DOCUMENT ANALYSIS
                  DESCRIPTORS
                                             b IDENTIFIERS/OPEN ENDED TERMS C.  COSATI Field/Group
 Adsorption,  Sorption, Oxidation, Hydro-
 lysis,  Photolysis, Transformation,
 Contaminants,  Degradation, Mathematical
 models
                                             Environmental  assessment,
                                             Volatilization, Microbial
                                             degradation, Biodegrada-
                                             tion, Aquatic  systems,
                                             Environmental  simulations
                                             Natural waters, Solar
                                             photolysis, Biosorption
68D
68E
13 DISTRIBUTION STATEMENT

 Release  to Public
                                             19. SECURITY CLASS /This Report}
                                              Unclassified
                                             20 SECURITY CLASS (Thispage)
                                                                        22. PRICE
EPA Foim 2220-1 (9-73)
                                                                              Omtt.H77-757/MO/6M&

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                RESEARCH REPORTING SERIES

Research reports of the Office of Research and Development, U S Environmental
Protection Agency, have been grouped into nine series These nine broad cate-
gories were established to facilitate further development and application of en-
vironmental technology Elimination of traditional grouping was consciously
planned to foster technology transfer and a maximum interface in related fields
The nine series are

      1   Environmental Health Effects Research
      2   Environmental Protection Technology
      3   Ecological Research
      4   Environmental Monitoring
      5   Socroeconomic Environmental Studies
      6   Scientific and Technical Assessment Reports (STAR)
      7   Interagency Energy-Environment Research and Development
      8   "Special" Reports
      9   Miscellaneous Reports

 This rupurl Has town iissiijiwd to the  INTFRAGFNCY ENERGY-ENVIRONMENT
 RESEARCH AND DEVELOPMENT series Reports in this series result from the
 effort funded under the 17-agency Federal Energy/Environment Research and
 Development Program These studies relate to EPA's mission to protect the public
 health and welfare from adverse effects of pollutants associated with energy sys-
 tems The goal of the Program is to assure the rapid development of domestic
 energy supplies in an environmentally-compatible manner by providing the nec-
 essary environmental data and control technology Investigations include analy-
 ses of the transport of energy-related pollutants and their health and ecological
 effects,  assessments  of. and  development of. control technologies for energy
 systems, and integrated assessments of a wide range of energy-related environ-
 mental issues
This document is available to the public through the National Technical Informa-
tion Service. Springfield. Virginia 22161

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                                 DISCLAIMER

      This report has been reviewed by the Environmental Research Laboratory,
U.S. Environmental Protection Agency, Athens. Georgia, and approved for publi-
cation.  Approval does not signify that the contents necessarily reflect the
views and policies of the U.S. Environmental Protection Agency, nor does men-
tion of trade names or commercial products constitute endorsement or recommen-
dation for use.
                                     ii

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                                  FOREWORD

      Environmental protection efforts are Increasingly directed towards pre-
vention of adverse health and ecological effects associated with specific com-
pounds of natural or human origin.  As part of this Laboratory's research on
the occurrence, movement, transformation, Impact, and control of environmental
contaminants, the Environmental Processes Branch studies the microbiological,
chemical, and physico-chemical processes that control the transport, transfor-
mation, and impact of pollutants In soil and water.

      Delineation of the environmental pathways followed by potentially harm-
ful chemicals in freshwater systems Is a key element in predicting the effects
of pollutants before extensive damage occurs.  Based on concepts developed
over a number of years at this Laboratory, the extramural work reported here
integrates independent transformation and transport processes with hydrologic
parameters in a computer model that provides information on environmental ex-
posure in many kinds of aquatic environments.
                                       David W. Duttweiler
                                       Director
                                       Environmental Research Laboratory
                                       Athens, Georgia
                                     ill

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                                    ABSTRACT


      This research program was initiated to develop environmental exposure as-
 sessment procedures that can be used to predict the pathways  of  potentially
 harmful chemicals in freshwater environments.

      The fundamental premises on which the environmental exposure assessment
 approach is based are that (1) the overall rate of disappearance of a chemical
 from the aquatic environment is controlled only by the dominant  transformation
 and  transport processes, (2) these processes can be studied Independently  in
 the  laboratory,  and (3)  the laboratory data can be extrapolated  to environ-
 mental  conditions.

      Laboratory  procedures have been developed  for measuring  the rates of
volatilization, photolysis, oxidation,  hydrolysis,  and  biotransformations as
 well as the sorption partition coefficients on  natural sediments and on a  mix-
 ture of four bacteria.   Two models have been used  to extrapolate the
 laboratory  results  to the environment.   The one-compartment model  assumes  that
 the  aquatic system  is a  single, well-mixed reactor in  which chemicals are
 transformed,  degraded, and/or transported.   It  can be  used  to analyze .acute
 discharges  such  as  spills and to establish priorities  for in-depth laboratory
 studies.  The nine-compartment computer model is used  to study the effect  of
 the  transport and transformation processes studied in  the laboratory  program
 on the  distribution of a chemical in ponds,  streams, and eutrophic and oligo-
 trophic lakes.

      This report  is Part I of a two-part report  and  describes the  environ-
 mental  exposure  assessment models and  the  laboratory procedures.   Part II will
 report  the  results  of using these procedures to  study  eleven chemicals:
 p-cresol, benz[a]anthracene, benzo[a]pyrene, quinoline,  benzolfjqulnoline,
 9H-carbazole,  7H-dibenzo[c,g]carbazole, benzo[b]thiophene,  dibenzothiophene,
 methyl  parathion, and mirex.

      This report  was submitted In partial  fulfillment  of Contract  No.
 68-03-2227  by SRI International under  the  sponsorship  of the U.S.  Environ-
 mental  Protection Agency.   This report  covers the  period from June 30,  1975,
 lo June 30,  1977.
                                      iv

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                                    CONTENTS
Foreword	       ill
Abstract	        iv
Figures	        vi
Tables	        vi
Abbreviations and Symbols  	      vlll
Acknowledgments  	         x

     1.  Introduction  	         1
     2.  Conclusions 	         6
     3.  Recommendations 	         7
     4.  Environmental Assessment  	         9
         4.1  One-Compartment Model	        10
              4.1.1  Assumptions of the One-Compartment Model  ...        10
              4.1.2  Mathematical Formulations 	        11
         4.2  Nine-Compartment Computer Model  	        12
              4.2.1  Assumptions	        14
              4.2.2  Mathematical Formulations 	        18
         4.3  Environmental Parameters 	        23
     5.  Physical Properties 	        24
         5.1  Solubility	        24
         5.2  Absorption Spectra 	        25
         5.3  Volatilization Rate	        27
              5.3.1  Background	        27
              5.3.2  Experimental Procedures 	        29
         5.4  Sorption of Organic Substrates 	        31
              5.4.1  Background	        31
              5.4.2  Sorption on Clays and Sediments	        33
              5.4.3  Biosorption and Desorption  	        41
              5.4.4  Discussion	,	        43
     6.  Chemical Transformation 	        44
         6.1  Background	        44
         6.2  Photochemistry	,	'.	        45
         6.3  Free Radical Oxidation	        49
         6.4  Hydrolysis	        51
     7.  Biodegradation	        56
         7.1  Background	.~	        56
         7.2  Development of Enrichment Cultures 	        57
         7.3  Biodegradation Rates 	        60
         7.4  Isolation and Identification of Major Biodegradation
              Metabolites	        67
     8.  References	        68

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Appendix A.  Flow  of Water  and  Sediments between
             Compartments in the  Computer Model
Appendix B.  Theory of  Volatilization of Organic
             Substrates from Water 	
72
75
                                    FIGURES
Number                                                                    Page

   1.1  Flowchart for Technical Approach	,.       3

   4.1  Sorption and Transformation Routes Simulated	,.      13

   4.2  Schematic of Assumed Flows Between Compartments in an Aquatic
        System	      16

    .3  Physical Configurations of the Pond, River, and Lake
        Simulations	      17

   4.4  Flowchart for the Environmental Assessment Model 	      22

   5.1  Substrate Solubility versus Partition Coefficient on Coyote
        Creek Sediments  (K ) and on a Mixed Population of Bacteria
        «b)	"	      35

   6.1  pH Dependence of k,  for Hydrolysis by Aci'd, Water, and Base-
        Promoted Processes	      52

   B.I  Schematic of the Two-Film Model of Volatilization from the
        Surface of Water Bodies  	      71


                                     TABLES


Number                                                                    Page

   4.1  Ratio of Bacteria to Sediments in Natural Water Bodies ....      21

   4.2  Physical Dimensions and Water Quality Characteristics"
        Assumed in the Environmental Analysis  	      23

                                      vi

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Number                                                                    Page


  5.1   Nominal Wavelengths and Wavelength Intervals  for  uv and
       Visible Absorption Spectra  	      25

  5.2   Oxygen Reaeration Rates In  Representative Water Bodies  ....      28

  5.3   Sources and Characteristics of  Ca-Montmorillonlte Clay and
       Natural Sediments  	      34

  5.4   Recommended Experimental Plan for Isotherm Measurements   ...      36

  A.I.  Flow of Water and Solids Between Compartments in
        the Pond Model	     73

  A. 2.  Flow of Water and Solids Between Compartments in
        the River System	     74

  A. 3.  Flow of Water and Solids Between Compartments in
        the Eutrophic and Oligotrophic Lake Systems 	     74
                                     vli

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                             ABBREVIATIONS AND SYMBOLS

  AA   4,4'-Azobis(4-cyanovaleric acid)
  H    Henry's  law constant
  IA   Light flux (photons time"' liter"1)
  K^   Partition coefficient for sorption on biota
  K    Partition coefficient for aorption on sediments
  Kg   Concentration of substrate at which p = Jj u (mass ml"1)
  M    Moles liter-1
       Mass  of  chemical in biota in compartment 1
 ^£i   Total  mass  of  substrate in aqueous  phase  (£)  of  compartment  i  before  sorp-
       tion
 ^£i   Total  mass  of  substrate in aqueous  phase  (ft)  of  compartment  i  after sorp-
       tion
 M     Mass of suspended  sediment
 Msi   Total  mass  of  substrate in the suspended  sediment of compartment i before
       sorption
 Msi   Total  mass  of  substrate in the suspended  sediment of compartment i after
       sorption
 M     Mass of water
 P%.    Vapor  pressure of  pure  substrate  (torr)
 R     Gas constant
 S    Substrate concentration  (mass per unit volume)
 IS]  Substrate concentration  (moles per liter)
 Sfl.  Substrate concentration  in  the aqueous phase of compartment i
 T    Temperature (°K)
 V    Volume of compartirent i
 X    Bacterial mass or  cell  count (cells ml"1)
 X.    Microbial population in compartment i  (cells ml"1)
*
 Cell count was used in biokinetic studies and biomass was used in biosorptions.
                                      viil

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Y    Biomass or cell yield per mass of substrate  utilised (cells  ug sub-
     strate)
Z,   Solar radiance intensity (photons cm'8  see"1  no"1)
e    Efficiency of production of R0a' from AA
fei  Total transformation rate in the aqueous phase  in  compartment  i
kA   Rate constant for acid-catalyzed hydrolysis  (M~* sec~l)
kg   Rate constant for base-catalyzed hydrolysis  (M-' sec"1)
kjj   Rate constant for neutral hydrolysis (sec"1)
kfl   First-order rate constant for light absorption  by  chemical  (sec"1)
k.    Rate constant for biodegradation (ug cell"1  hr"1)
k£   Pseudo-first-order rate constant for biodegradation  (hr~*)
^2  Second-order rate constants for biodegradation  (ml cell-1 hr~')
k^   Rate constant for hydrolysis (sec~l)
ki   Rate constant for decomposition of AA
k    Rate constant for oxidation (M~* time"1)
k    Rate constant for photolysis (time"1)
fcO   Oxygen reaeration rate (time"1)
kS   Rate constant for volatilization (ug ml-1 time"1)
m.    Mass of biota in compartment 1
M^  Mass of water In compartment 1
r,    Biodegradation rate (ug ml"1 time"1)
r.    Hydrolysis rate (ug ml"1 time"1)
r    Oxidation rate (ug ml"1 time'1)
r    Photolysis rate (ug ml'1 time'1)
r    Volatilization rate (ug ml"1 time-1)
t.    Half-life (time)
E    Absorption coefficient (M cm"1)
\    Wavelength (nm)
* _„ Wavelength of an absorption maximum (nm)
 ulaX
u    Specific growth rate (hr"1)
u    u    = Maximum specific growth  rate (hr'1)
4    Reaction quantum yield
                                      Ix

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                                ACKNOWLEDGMENTS


      The  assistance and  counsel of  the Project  Officer  for  this work, Mr.
George Baughraan  of  the Environmental  Research Laboratory, Athens, Georgia,  has
been  invaluable  in  this  work,  as were the  frequent  discussion with his staff:
Drs.  Richard  Zepp,  Lee Wolfe,  David Brown,  Charles  Steen, and Ms. Doris
Paris, as well as James  Hill and Ray  Lassiter,  who  are  also located at the
Athens, Georgia, laboratory.

      The contributions of  the  SRI International staff members who carried out
the laboratory work are  gratefully  acknowledged.  The following persons parti-
cipated in the following tasks:

      Environmental  Assessment:   T.  Peyton,  B. Suta, E.  C. Walters

      Physical Transport:   D. Haynes,  B. Kingsley, D. Stivers, and M. Zinnecker

      Chemical Degradation:  D.  Hendry, A. Baraze, B. Lan, and H. Richardson

     Biodegradation:  R. Spanggord, E. Shingai,  H. G. Shan,  S.  Sorenson,  G.
                      Shepherd,  R.  Langley, D.  Donaldson, D. Watkins,  and
                      D. Brajkovich

Substantial assistance in  report preparation was provided by C.  Reeds.

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                            1.  INTRODUCTION


     This study was designed to develop objective, well-documented procedures
that can be used to predict the pathways of potentially harmful chemicals in
freshwater systems before extensive damage occurs or major investments are
made in production facilities.  Although either field or laboratory studies
might provide the data necessary for environmental assessment, field experi-
ments are limited to those chemicals already present in the aquatic environ-
ment and are costly because of the large number of samples that must be col-
lected and analyzed.  Laboratory studies, on the other hand, are relatively
inexpensive and more easily controlled, and the results are potentially more
-raenable to generalization to different environmental conditions.

     Two important laboratory approaches that are now under development are:
the microcosm or ecosystem study (Isensee et al., 1973; Metcalf et al., 1971;
Taub, 1973) and the integration of independent transformation and transport
processes  (Wolfe et al, 1976; Paris et al., 1975; Hill et al., 1976).  The use
of microcosms can provide an  overall assessment of complex Interactions
in a specific environment, but provides little or no basis for extrapolating
the results to other kinds of environments because the relative rates of many
of the component processes cannot be determined.

     We have used the second approach, which we call environmental exposure
analysis.  Many of the concepts of this approach were first suggested to us
by the staff of the Athens Environmental Research Laboratory.  The approach
uses the results of laboratory measurements of specific physical, chemical,
and biological processes in a computer model that Integrates  the data with
hydrologic parameters of selected aquatic systems.  This approach can provide
information on environmental exposure in many kinds of aquatic environments.

     This study was designed to achieve three objectives:

     •  Develop laboratory procedures for a general environmental exposure
        analysis of a chemical, based on measurements of the rates of
        physical, chemical, and microbiological transformations believed to be
        Important for that chemical in natural freshwater ecosystems.

     •  Develop an Integration procedure for extrapolating the laboratory data
        to a variety of natural waters.

     •  Demonstrate the procedures using a series of selected organic
        chemicals.

Part I of this report describes the theory and methods of the laboratory
measurements and computer modeling used for environmental exposure assessment.

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 Part II describes the results of specific laboratory and modeling  studies
 with eleven organic chemicals selected for this program.

      The scope of the environmental assessment was limited to transport  and
 transformation processes that might occur under steady-state environmental ex-
 posure, such as would result from the continued release from manufacturing
 plants, agricultural field runoff,  or desorption from contaminated sediments.
 Laboratory experiments were performed on homogeneous water solutions  of  se-
 lected chemicals below their solubility limits (usually at less  than  1 ug
 •I"1)  to measure their rates of volatilization, oxidation, hydrolysis, photol-
 ysis,  and microbiological transformations using adapted mixed cultures,  as
 well as their partition coefficients for sorptLon to sediments and biomass,
 under conditions representative of,  or extrapolatable to, freshwater  aquatic
 systems.   The results of the laboratory studies were integrated  with  simple
 one- and nine-compartment computer  models to  predict the pathways  of  the
 chemicals in ponds, streams, and lakes (see Part II).

      A potential shortcoming of this approach to environmental assessment
 is that it may not measure important transformation or transport pro-
 cesses that occur in a natural aquatic system.  To minimize this possi-
 bility, we have compared idealized  laboratory experiments in pure water
 with experiments using natural sediments and  waters.  Nonetheless, the
 possibility for more complex interactions in  natural systems does  exist,
 and, if they occur, could lead to incorrect estimates of persistence,
 distribution, and pathways.

      Three potentially important pathways were deliberately omitted:  chemical
 and  biochemical transformations that might  take place in  or on sediments,  bio-
 degradation by bacteria not obtained in mixed culture systems by enrichment
 procedures or by microorganisms other than bacteria,  and  biomagnification.
 The  effect of these omissions will  be discussed in specific sections  of  Part
 II,  but we believe that these omissions will  probably not significantly  affect
 the  general conclusions.

     Figure 1.1 shows the sequence  of the various  phases  of this study,  begin-
 ning with  selection of the chemicals,  followed by literature review, laboratory
 programs,  and environmental assessment.   Eleven organic  chemicals  were
 selected  for  study.   Nine of. these  were aromatic compounds typical of those
 likely  to  be  found  in effluent streams  from fossil  fuel  processing plants.
 These compounds  are p-cresol,  benz[a]anthracene. benzo(alpyrene, quinoline,
 benzo[fJquinoline,  9H-carbazole,  7H-dibenzo[c,g,]carbazole,  benzo[b]thio-
 phene,  and dibenzothiophene.   The two other compounds, methyl parathion  and
 mirex,  are pesticides that have been used extensively in  field applications
 where runoff  to  streams  and ponds is likely.   In most cases,  the literature
 data on  these  compounds  were insufficient to  allow  us to  decide  which environ-
 mental  processes  might  be important  for detailed study.   Therefore, screening
 studies were  conducted  to obtain  an  estimate  of  the  relative  importance  of
 each process.   Pathways  that appeared to be important  were studied  in detail
 to obtain  rate  data  and  to  identify  products.   To maximize the amount of rele-
vant data  produced  and minimize the  cost,  processes  that  did  not appear  to be
significant were  not  carried past the screening  stage.

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                       POLLUTANT
                       SELECTION
                      LITERATURE
                        SURVEY
                        PREPARE
                       WORK PLAN
                  DEVELOP ANALYTICAL
                        METHODS
      I
BIODEGRADATION
   SCREENING
 CHEMICAL
SCREENING
                         1
PHYSICAL TRANSPORT
    SCREENING
               PRELIMINARY ENVIRONMENTAL
                ASSESSMENT: SELECT AREAS
                  FOR DETAILED STUDY
BIODEGRADATION
    STUDY
CHEMICAL
  STUDY
                                                1
PHYSICAL TRANSPORT
      STUDY
                         ASSESS
                     ENVIRONMENTAL
                         FATES
                        PREPARE
                     FINAL REPORT
                                                     SA-4396-74
   FIGURE 1.1    FLOWCHART  FOR TECHNICAL APPROACH

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     Brief descriptions of the program elements shown in Figure 1.1 are listed
below.  Details are given in the sections noted in parentheses.

        Screening  studies were designed  to measure:

        — Solubility  in water at  20  to  25°C  (Section 5.1).

        — Absorption  spectra at wavelengths  greater than  290  nm  (Section
           5.2).

        — Volatilization rates under high turbulence conditions  (Section
           5.3).

        — Sorption  partition coefficients (Section 5.4) for a Ca-
           montmorillonite  clay, one  high organic  content  natural sediment,
           and a mixture of  four species of bacteria.

        — Photolysis  rates  in sunlight  and monochromatic  light above  300 nm
           (Section 6.2).

        — Oxidation rates  in air-saturated water  using  a  free-radical
           initiator at  50°C (Section 6.3).

        — Hydrolysis  rate  at constant pH and temperature  (Section  6.4).

         —Biodegradation susceptibility, by attempting to develop within
           6 weeks enrichment cultures that would degrade substrate when it
           was the sole carbon source (Section 7.2).

      •  Preliminary  assessments, using a one-compartment- model with rate con-
        stants based on  screening  studies, were used to  decide which processes
        should be  studied in detail (Section  4.1).

      *  Detailed studies were designed to:

        — Measure volatilization  rates  under several low  turbulence condi-
           tions  (Section 5.3).

        — Measure sorption  partition coefficients on additional  natural
           sediments  (Section 5.4).

        — Measure photolysis rates and  quantum yield in pure  water and in
           natural waters and identify major  products  (Section 6.2).

        — Measure oxidation rates and identify major oxidation product's
           (Section 6.3).

        — Measure hydrolysis rates at several temperatures and over a pH
           range 3 to  10 and identify major  hydrolysis products (Section 6.4).

        — Measure biodegradation  rates  and  identify major metabolites
           (Section  7.3).

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        Final  environmental assessments  were made with the one-compartment
        model  and the nine-compartment computer model.


        — The one-compartment model was used to refine the preliminary as-
           sessments, using rate constants obtained in detailed studies.  This
           assessment provided a comparison of the relative transformation
           rates of the substrate under  different aquatic  conditions  (Section
           4.1).
                                              *
        — The nine-compartment computer model was used to predict in detail
           the transport, distribution,  and steady-state concentrations in
           four representative aquatic environments (Section A.2).

     The following chapters present and evaluate the laboratory procedures used
in this study and the procedures for integrating laboratory measurements.   These
evaluations are important in the application of the methods and conclusions of
the assessment and must be considered in any critical evaluation of the en-
vironmental exposure analysis.
*The number of compartments can be increased to 99 if necessary.  Individual
 compartments represent various parts of the water column and sediment layer
 of a representative pond, lake,  or  river.

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                            2.   CONCLUSIONS
The approach described  in  this report is a simple, a priori method for
evaluating many of  the  possible environmental pathways of chemical pol-
lutants in natural  aquatic environments.  This technique can provide use-
ful predictions of  the  potential environmental exposure of chemicals In
freshwater systems  before  they are introduced into the environment.

Calculations based  on first-order kinetics and a homogeneous water body
are useful for rapid assessment of laboratory screening studies and can
be used to estimate both the volatilization and transformation rate's of
the substrate in solution  and the importance of sorption by sediments fol-
lowing spills or long-term exposure.

The nine-compartment computer model developed during this study for use in
extrapolating laboratory data to typical water bodies can predict the
persistence, distribution, and pathways of chemicals in ponds, lakes, and
streams.  This model sacrifices the simplicity of the single compartment
model for realism,  but  it  is still much simpler than many of the computer
models now in use and it allows the users to adjust parameters selectively
to conform to their best judgment or knowledge.

Laboratory procedures have been developed to measure the rate constants
for volatilization, photolysis, oxidation, hydrolysis, and biodegradation
and the sorption partition coefficients on natural sediments and bacteria
at substrate concentrations from 0.1 to 1000 ng ml'1.  The procedures have
been designed so that the  rate constants can be extrapolated to -the en-
vironmental conditions  simulated by the one-compartment model and nine-
compartment computer models.

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                              3.  RECOMMENDATIONS


     The work done under chis program has laid the basis for further work in
this field.  We have developed the following recommendations as a result of
our experience in developing an environmental exposure assessment model.

1.  Verify this environmental exposure assessment model by comparing the
    predicted pollutant concentrations with those measured in an ecosystem
    and, if possible, in the field.

2.  Develop procedures for measuring and expressing the rates of blodegradation
    and chemical transformations of substrates sorbed on sediments.  These pro-
    cesses should be included in the environmental exposure assessment model.

3.  Investigate further the observation that natural waters and humic acid had
    varying effects on the photolysis rates of different substrates.  These
    investigations could focus on the role of natural substances as photosensi-
    tizers, quenchers, and free radical photolnitiators as well as on how other
    natural waters affect the reaction rates and products of specific sub-
    strates.

4.  Intensify efforts to Identify the major products of chemical transformation
    and the metabolites from the blodegradations.  The latter may require
    changes in fermentation schedules, use of cell-free enzyme systems, or use
    of mutated organisms.  The toxic properties of these products and meta-
    bolites should be measured, perhaps by the B. Ames mutagenic assay, by
    unscheduled DNA synthesis, or by animal culture systems.

5.  Continue work on refinement of the nine-compartment model and the labora-
    tory procedures by incorporating the following recommendations:

    a.  Expand the usefulness of the nine-compartment model by making the
        following modifications:

           Develop sets of input data that define compartment size, flow rates,
           microbial populations, and the like for a larger variety of water
           bodies to make it easier for nonspecialists to use the model.

           Introduce equations describing interactions among phenomena such as
           pH, temperature, light intensity, and< turbidity to allow more real-
           istic and sophisticated simulations.
*
 These refinements have been listed in roughly the order of discussion in  the
 report.

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b.  Obtain additional data  concerning the relationship of substrate solu-
    bility and ti-octanol partition coefficient and sediment organic con-
    tent to the sorption partition coefficients on natural sediments.
    These correlations may  provide simpler techniques for estimating
    partition coefficients  for some types of compounds under different
    environmental conditions.

c.  Develop improved experimental procedures for measuring volatilization
    rates of very volatile  materials under conditions of low turbulence.

d.  Use radiolabelled substrates for measurement of sorption partition
    coefficients, biodegradation rates, and metabolites to improve the
    precision of the analytical techniques at very low, environmentally
    realistic concentrations.

e.  Increase the variety of organisms in conducting biosorptions, inclu-
    ding phytoplankton and  protozoa.  Selected protozoa could be adde.d
    after a predetermined sorption period, and the viability of the pro-
    tozoa could serve as an indicator of potential biomagnification
    dangers of a pollutant  and its metabolites.

f.  Develop refinements to  the procedures described in this report to
    increase the likelihood of obtaining cultures capable of degrading
    recalcitrant substrates:

       Increase the number of locations for sampling and take samples
       during different seasons.

       Maintain incubation  temperatures at the temperature of the sample
       at the time of sampling.

       With recalcitrant compounds, conduct some screening with pure
       cultures'or with young enrichment cultures isolated from aquatic
       sources.   Analog enrichment procedures could be used in the iso-
       lation of these cultures, and fermentation conditions could "be
       somewhat different from those existing in the environment. .

       Replace the buffering salts used in the enrichment culture pro-
       cedure by automatic addition of alkali or C0a to more realisti-
       cally simulate environmental conditions.

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                      A.  ENVIRONMENTAL ASSESSMENT


     The objectives of  the environmental assessment were  to:

      •  Estimate  the probable concentrations and distributions of
        selected  chemicals in aquatic systems  resulting from continu-
        ous discharge of  low concentrations of  these chemicals in Indus-
        trail waste and surface runoff.

      •  Assess the relative importance of photolysis, hydrolysis,
        oxidation, volatilization, sorption, and biotransformation
        in the removal  of selected chemicals from solution in natural
        freshwater systems, exclusive of transfer through food chains
        or transformation on sediments.

To accomplish these objectives, it was necessary to make  two fundamental
assumptions concerning  the various possible environmental transport and
transformation processes  in aquatic systems.  These are:

      •  The overall rate of disappearance of a  pollutant  from
        solution  is controlled only by the transformation and
        transport processes that were studied separately  in the
        laboratory and  by hydraulic and hydrological processes of the
        aquatic systems.

        Each transformation and transport process can be  studied
        independently by laboratory experiments, and the  results
        of these experiments can be extrapolated to natural waters.

     On the basis of these assumptions)  laboratory procedures were used
to acquire data for discrete physical, chemical, and biological processes
that are believed to be important in aquatic systems by using solutions
of the selected chemicals in pure water below their solubility limits.
The data from laboratory studies were integrated by a computer model that
can simulate streams, ponds, and stratified lakes by suitable combinations
of compartments and hydrologic parameters.

     In Its simplest application,  the model is  fixed as one compartment,
and all data on transport and transformation processes are put in the form
of simple first-order relations in which only the concentration of the
chemical is a variable.   Rate constants and reactive environmental inter-
mediates are lumped together as constants typical of a specific water body.
This simple and preliminary assessment provides a good method of evaluat-
ing the relative importance of different transformation and transport pro-
cesses and thereby eliminating additional laboratory studies on subordinate
processes.

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     More elaborate analyses,  based on our multicompartment computer model,
which allows for  the heterogeneity of actual water bodies, give somewhat
greater accuracy  and greatly  facilitate computation of the pollutant concen-
trations in different parts of the simulated water bodies.

     The following subsections present the assumptions that are specific
to the mathematical formulations of the models.used and discuss the compu-
tational approaches in detail.  Subsection 4.1 discusses the computation
of overall transformation rates, and subsection 4.2 discusses the multi-
compartment model developed for this study.  The assumptions that are in-
dependent of the  mathematical  formulations are presented in subsection 4.3.
4.1  ONE-COMPARTMENT MODEL

     Analysis of the data under the assumption of first-order kinetics, re-
ferred to hereafter as the one-compartment model, assumes that the system
is a single, completely mixed reactor from which the chemicals disappear
through transformation and transport.  This model allows analysis of acute
discharges such as spills or deliberate use of pesticides and was used to
establish priorities for detailed laboratory studies.


4.1.1  Assumptions of the One-Compartment Model

       The equations of the one-compartment model make the following
assumptions:

       •  The water body is homogeneous with respect to all physical,.
          chemical, and biological properties.

          Chemical, physical, and biological properties (other than
          changes in the concentrations of the pollutant and solid
          masses within the compartments) remain constant.

       •  The effects of physical, chemical, and biological variables
          such as'temperature,  pH, and species composition are included
          implicitly in the rate factors used in the simulations,  but
          are otherwise excluded.

          Exogenous environmental parameters such as sunlight intensity.
          are constant for a given water body.

          The pollutant is introduced as a pulse at time zero.

       •  Sorption  occurs only  between solids and solution and between
          solution  and biota; no sorption occurs directly between
          the biota and solids.

       •  The sorption equilibrium la rapidly established compared with
          all other transformation and transport processes.   'The relative
          proportions of sorbed and dissolved chemical are those calcu-
          lated from the equilibrium constant or partition (sorption
          partition coefficient)  for the chemical between water and a
          natural sediment.

                                      10

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       •  A portion of the microbial population is acclimated to the spe-
          cific substrate at all times.  The rate of microbial transfor-
          mation is a function of the number of acclimated microbes and
          is first order with respect to substrate concentration.

       •  The microbial yield factor is constant.

       The assumption that an acclimated microbial population is present
implies that the pollution is chronic or that it consists of repeated, dis-
crete releases of the chemical.  Since several hours or days may be required
for acclimation, the model tends to overestimate the loss rate of chemicals
from solution in cases of acute pollution caused by spills.  Also, the assump-
tion that the water body is homogeneous precludes appraisal of the distribution
of the chemical within large, incompletely mixed water bodies, such as large
stratified lakes.  However, this model is a useful approximation of transport
and transformation in small water bodies such as ponds and has been especially
useful as a preliminary assessment tool to establish priorities for the de-
tailed laboratory studies.


4.1.2  Mathematical Formulations

       Given the assumptions listed above, each process may be described by
a first-order or pseudo-first-order rate law:
                                R.J - kjlS]                             (4.1)

where R* is the transformation or transport rate for process j, k4 is  the
first-order or pseudo-first-order rate constant for process j, and [S] is
the concentration of substrate.  If k. is a pseudo- first-order rate constant,
then                                 J

                                kj = k2  [E]                            (4.2)


where k24 is the second-order rate constant for process j, and [E] is  the
concentration of the environmental component.  We have assumed that the net
rate of loss of substrate from the water body is


                           R =  E R  -  Ik.  [S]                      (4.3)
                                J  J    J  J
The half-life of a chemical in any first-order process

                                         In 2
                                                                       (4.4)
Also, since all the transformation and transport processes have been expressed
as first- or pseudo-first-order rate expressions, it is possible to calculate
an overall or net half-life for the pollutant, since
                                     11

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                                      111 2                            /, EX
                                                                      (4'5)
To be realistic, allowance should be made for flow of a pollutant out of the
system by adding a rate constant for the movement of water through the system.
Thus, equation (4.5) becomes

                                       In 2
                             Cl/2 = k. + E k.                         (4-. 6)
                                     d   j  j

where kj is the dilution rate constant for the system as a whole,  kj is de-
fined as the mass of chemical per unit time in the outflow divided by the
total mass of chemical in the system.  Equation (4.6) shows that the effec-
tive half-life is determined by two terms:  the dilution rate constant and
the sum of transformation rate constants.  If the system is assumed to be'
completely mixed, the system dilution rate than becomes the outflow rate
divided by the total volume.  Two different cases of water movement are dis-
cussed:  In the case of zero or low dilution rate, equation (4.6) becomes

                                      In 2
                                                                      (4-7)
In the case of rapid dilution rate, equation (4.6) becomes


                               '1/2 - ^                            <4-8'

       We have further assumed that the value for exogenous parameters [E]
for any particular process will differ in different water bodies and will
affect the values of k-i.  The details of the differences we have assumed are
                     "J:
given in subsection 4.


4.2  NINE-COMPARTMENT MODEL

     The nine-compartment computer model was designed to explore the impact
of water body heterogeneity on the transformation and transport mechanisms
covered in the laboratory phases of this project (Figure 4.1).  Transforma-
tion of sorbed chemicals and accumulation of chemicals within food chains
were not considered, but the model does permit assessment of the variations
in concentrations to which specific segments of food chains will be exposed.
 The computer program for this model has been modified to accommodate up to
 99 compartments, to allow for three-dimensional simulations, and to allow
 continuous flows between compartments.  However, for the sake of consistency
 of methodology, the nine-compartment, two-dimensional, batch-flow version
 described here has been used throughout this study.  The assumptions under-
 lying the two versions of the model are otherwise unchanged.
                                      12

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VOLATILIZATION





    HYDROLYSIS
PHOTOLYSIS





       OXIDATION
                                                                                      OXIDATION
                                                                                      HYDROLYSIS



                                                                                      PHOTOLYSIS
                                                                      BIOOEGRADATION
 Not* :  Items to the right of the dotted (in* ore not uted in current veriioni of the model
                   FIGURE 4.1  TRANSPORT AND TRANSFORMATION ROUTES SIMULATED

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4.2.1  Assumptions

       The model contains nine compartments of arbitrary size and composition,
which are  used  to  represent  segments  of  the water column or sediments.  By
selectively  removing compartments and appropriately adjusting the constants
for water  quality  and water  movement  parameters, we can use the model  to .sim-
ulate streams,  ponds, or  stratified lakes.

       Inputs can  be made to any  compartment, allowing simulation of atmospheric
inputs,  offshore outfalls, or  accidental spills.  For this study, we have
assumed  that inputs  are restricted to a  single surface compartment.

       Transfers between  compartments are assumed to be dominated by rates of
water or solid  particle movement  and  hence are assumed to be specific  to- the
ecosystem  rather than to  the chemical.   Solid and solution flows are allowed
between  compartments, and they can flow  at different rates, but the biota re-
main in  place.  Inflows of new solution  and solids are allowed as are  equiva-
lent outflows of solution and  solids. Estimates of these rates of transfers
between  compartments are  based on published data.

       Sorption and  desorption are allowed within compartments in the  model
and can  occur between solution and solid particles and between solution and
biota.   Although exchange of sorbed substrate between solid particles and
biota can  be important, it has been excluded because it is not being measured
in our current  project.   No  distinction  is made between organic and inorganic
particles.

       Calculations  are made on a time-sequenced basis.  We .assume that flows
and mixing occur at  the end  of each time interval and that volatilization,
sorption,  and transformations  occur within each time interval.  A short time
interval,  generally  less  than  0.2 hour,  is used in the simulations. •

       The model assumes  that  a number of base  conditions are constant within
each compartment but may  vary  between the nine compartments.  These conditions
include  temperature, pH,  light, mass  and species of biota, and so on,  the
effects  of which are included  implicitly in the input, transformation, and
sorption rate factors.  Changing  base conditions, such as day to night, can
be approximated by several sequential computer runs in which the output of
one run  regarding  substrate  concentration in the daytime is input to the next
run where  rate  factors are modified to represent the nighttime conditions

       An  initial  concentration of the substrate can be''arbitrarily assumed in
either the solutions, solids,  or  biota in any of the compartments.  Loading
rates of the chemicals and suspended  solids can be input as the specifications
of the system of study.

       Rate  constants for chemical and biological  transformation and volatil-
ization  measured in  the laboratory are used directly when feasible or, when
necessary, they are  used  to  estimate  the rate constants for combinations of
temperature, light,  and acidity that  were not appraised in the laboratory.

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       Laboratory data for hydrolysis, oxidation, and volatilization are used
directly or adjusted by empirical equations or coefficients.   Data for sorp-
tion are used directly even though there is some uncertainty in any extrapo-
lation of the complex and poorly understood phenomena collectively known as
sorption.  Environmental parameters related to sorption, volatilization,
photolysis, and biodegradation are adjusted subjectively to approximate the
net effect of the numerous differences between laboratory and field environ-
ments.  A simple coefficient is used to adjust the photolysis rate constant.
Biotransformation rates are adjusted by varying the number of bacteria as-
sumed to be acclimated to the chemical of interest.

     The complete structure of the model is presented schematically in Fig-
ure 4.2.  The arrows indicate direction of flows and the rectangles represent
the three-dimensional compartments.  The model can direct flows between any
pair of compartments (for example, from 4 to 8); however, those illustrated
are the ones typically used.  Compartments 1, 2, and 3 are generally used to
represent surface waters; 4, 5, and 6 deep waters; and 7, 8, and 9 sediments.
However, these compartments can be used in other ways if appropriate.  The
configurations of compartments actually used in this study and the dimensions
assumed are shown in Figure 4.3.

        Each compartment  of  the computer model can be considered  as a completely
mixed batch reactor.  Transformation  of a  pollutant  follows  its  transforma-
 tion  kinetics during the simulation time interval,  and  masses  of the pollutant
 interchange among the compartments and  between the aqueous  and solid phases
 within  compartments between each simulation time step.

        The nine-compartment model lacks the assumptions of  overall homogeneity,
 irreversible sorption, episodic discharge of pollutants, and first-order  ki-
 netics  for biodegradation used in the one-compartment model, but shares the
 remaining assumptions listed in subsection 4.1.1.   In addition,  the nine-
 compartment model assumes that:

        •   Inputs, outputs,  and transfers between compartments  are limited
           to nonliving solids and solutions.

        •   Movements between compartments occur in discrete  time  steps.

        •   The contents of each compartment are thoroughly mixed  after
           each intercompartment transfer.

           Volatilization, sorption, desorption,  and transformation occur
           simultaneously within each compartment within each time interval.

        •   Chemical reactions are assumed to be pseudo-first  order in pol-
           lutant concentration;  biodegradation is assumed to follow Monod
           kinetics.

           Degradation is assumed to occur only in the liquid phase or in
           (or on) microorganisms.
                                      15

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                            VOLATILIZATION  LOSSES

INFLOWS
                                                            . .•.••••?•;.':•  -: .->
                                                            • :::^*- .•&
OUTFLOWS
         FIGURE 4.2  SCHEMATIC OF ASSUMED FLOWS BETWEEN

                     COMPARTMENTS IN AN AQUATIC SYSTEM
                                   16

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                              •lOOn
               100 «
            2m
           005m
                                                              POND
            -lOOOm
                               1000 m
                                                 •1000*1-
                                                              RIVER
h	100 m	-\
    SOO
             IOO m	H       )••	900
                                                         =! l   LAKE
                      WATER  COHP«*TMENT

                  •JJ  SEDIMENT COMPARTMENT
                                                        SA-4396-13
FIGURE 4.3   PHYSICAL CONFIGURATIONS OF  THE POND,  RIVER, AND
             LAKE SIMULATIONS
                               17

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            In the current version of the computer  program,  bottom sediments
            are half water and half solids by volume.

            Outflows of solids are based on the ratio  of  solution in the
            compartment from which the outflow occurs.

            Inflows of solids are equal to outflows plus  losses to the
            sediments.

The model also requires explicit assumptions for the environmental components,
including physical dimensions and water quality, which are presented in
Section 4.3.
ft. 2. 2  Mathematical Formulations

       The mass of pollutants  in  the  aqueous phaVe and suspended solid phase
in each compartment during  the simulation  time interval  (At) is determined  -
by the concentration of  the external  inflow and outflow, and interflows among
the compartments.  The mass of pollutants  in the aqueous phase of compartment
i after a time step can  be  written  as follows:


                 Mi'i = I(At)i  + /  V +  Mu -  z  MUJ              (4'9)
                                in    J          out    J

where I (At) is the external input of  pollutant to compartment i during the
simulation time interval, M   is  the  original mass in the compartment, Z  M...
                            x,i                                         in  Jtji
is the mass of pollutant in the aqueous phase added from the jth adjacent com-
partments, and  Z  M     is  the mass of pollutant in the aqueous phase .that
               out  X1J
flowed out of compartment i to compartment j .

       For the pollutant adsorbed on  the suspended solids, a mass balance
similar to equation (4.9) is written  as follows:
                       IS(At)1 +    Msl + Msi -     Msi              (4,10)
where IS (At) is the external input of solids' to compartment i during the sim-
ulation time interval,  Z M  .  is the mass of pollutant in the suspended solids
                       in  SJ
added from the jth adjacent compartments, and  Z  M .. is the mass of pollutant
in the suspended solids  that flowed  from compartment i to compartment j .

       Because many transformation processes may occur simultaneously in the
aquatic system, a function f£i is defined as the total transformation rate of
the pollutant, on a mass basis, in the aqueous phase in compartment i.

                       dM'

                 fu = -5T = CrP +  rh + ro + rv + rb>ivi             <
                                       18

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 where

                  M^ is total mass of the pollutant in
                      aqueous phase (£) of compartment i
                  r   Is photolysis rate

                  r^  is hydrolysis rate
                  r   is oxidation rate

                  r^  is volatilization rate

                  rfe  is biodegradation rate

                  V^  is the volume of compartment i.

        The photolysis rate is expressed as follows:


                               rp = Vslu                            (

 where kp  is the  photolysis rate constant (Section 6.2) and [S]u is the chem-
 ical  concentration in the  aqueous phase in compartment i.   Note that kp is a
 function  of quantum yield, absorption spectrum,  and solar  irradiance;  &D will
 vary  with time of day,  season, and location.

        The hydrolysis rate is written as follows:


                               rh " "iJSlu                            <*-13>

 where kj,  is  the  hydrolysis rate constant,  which  depends  on the temperature,
 tHT],and  [OH"] in  the aquatic  system.

        The oxidation rate  is  expressed by  the equation:
                              ro
where kox is a pseudo-firsc-order rate constant equal  to k'  [ROy]  in which
the concentration of R02- is fixed at 1(T9 M  (Section 6).  Oxidation by other
oxidants such as HO- or 03 would follow similar kinetic relationships but were
not measured here.

       The volatilization rate is proportional to the  difference between the
chemical concentrations  in the aqueous and the air phases:
                          rv
where kj is the mass transfer rate constant and [S,]g is the chemical concen-
tration in the air phase.  In a normal atmospheric environment [S]  is usually
so small that it can be assumed equal to zero.  Therefore, equation (4.15)
reduces to
                               rv
                                      19

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Clearly, k§ should depend on  the  surface area, wind speed, air and water
temperature, and so on.  Laboratory measurements of k§ for chemicals have
been described elsewhere (Hill et al. , 1976).  The ratio of the gas transfer
constant of chemical to that  for  oxygen is constant for a wide range of tur-
bulence conditions.  The gas  transfer constant of chemicals in various water
bodies can be estimated if  the oxygen reaeration constants in the correspond-
ing water bodies are also known  (Section 5.3).

       The biodegradation rate is described by the following equation:
i
Y
                                       [SJ£1)
where umax, KS, and Y are the kinetic constants of the Monod expression  (Stumm-
Zollinger and Harris, 1971; Monod, 1949).  umax is defined as the maximum growth
rate, Kg is the half-saturation rate, which is defined as the pollutant
concentration at one-half of the maximum growth rate, and Y is the yield
factor, which describes  the efficiency of  converting chemical mass into
microbial mass.  In the  model,  [XjJ , the microbial mass or concentration,
is considered to be an environmental parameter and is assumed to be constant.

       Sorption of the chemical on the suspended solid particles and the sus-
pended biota (Section 5.4) is assumed to be an equilibrium process.

       The partition coefficient for distribution between the suspended sedi-
ment phase and the aqueous phase is defined by:

                                   m
                                    si  U
where mw^ is the mass of water and mgi is the mass of suspended sediment in
compartment i.  Mg^ and Mg^ are the masses of chemical in suspended sediment
phase and the aqueous phase, respectively.

       Similarly, the partition coefficient for distribution between biota
and aqueous phase is:

                                                                      (4.19)
                                   mBi M
where mBi and MBi are the masses of biota and chemical in biota, respectively.
Since it is assumed that no biodegradation or chemical transformation processes
take place on the surface or inside the sorbent phase, the total mass of
pollutant in a compartment before and after sorption will be- the same.
Therefore, the relationship of the total mass of chemical in the aqueous
phase (Mfcj.), the suspended sediment (Msi), and biota (MB1) before (primed)
and after (not primed) sorption can be written as:


                                                                      <4'20)
                                      20

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The mass distribution after sorption, therefore, can be calculated by solving
equations (4.18), (4.19), and (4.20).

       The relative amounts of bacteria and sediments found in the water
column and sediment layer of eutrophic and oligotrophic water bodies are
summarized in Table 4.1.
                TABLE 4.1.   RATIO OF BACTERIA TO SEDIMENTS
      	IN NATURAL WATER BODIES	

                            Weight bacteria/weight sediment3

      	Water column	Sediments	

      Entrophic      1 x 10"*               1.6 x 10" a

      Oligotrophic   1 x 10~7 to 1 x 10~s   1.6 x 10"* to 1.6 x 10~3



      *Dry weights.

       Sources:  Tables 28 and 31 of Kuznetsov (1970), pp.
                 592-595 of Wetzel (1975), and an empirical
                 bacteria density to dry weight conversion fac-
                 tor of 4 g (dry weight) per 1019 cells.


       The estimates show that even if the biosorption is ten times as much
as the sorption on sediments, the bacteria contribute  little to the total
amount of substrate sorbed.  The model developed in the study, therefore, ex-
cludes the biosorption from the calculations.  The mass distribution after
sorption can be directly calculated from equations (4.18) and (4.20) with
omission of the Ml. and M_. terms in the equations.

       To integrate equation (4.11), the predictor-corrector method (ES0DEQ)
(Rollins, 1968) is used.  ES0DEQ uses a four-point Adams-Bashforth-Moulton
predictor-corrector method to carry out its integration.  The predictor-
corrector can be executed only if four points are available.  To estimate
the first four points (including the initial point), the fourth-order Runge-
Kutta method is chosen because it is quite accurate over small intervals.
ES0DEQ also provides a feature whereby the Integration can be carried out
only with the Runge-Kutta method by selecting an appropriate control index.

       The functional relationships of the computer program subroutines are
illustrated in Figure 4.4.   The sequence for the time interval At is:

       (1)  Calculate the mass of chemical transformed.

       (2)  Calculate the distribution of chemical between the sediment
            and aqueous phases, according to the equilibrium partition
            coefficient.
                                      21

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Si
fc
x
ui
                   INPUT DATA
             1. SYSTEM PARAMETERS
             2. TRANSFORMATION RATES
                   • CHEMICAL
                   • PHYSICAL
                   • BIOLOGICAL
DETERMINE THE MASS
 CHANGES IN EACH
 COMPARTMENT DUE
TO TRANSFORMATION
    PROCESSES
                CALCULATE  MASS
               BALANCE  ACCORDING
               TO CHANGES OF FLOW
                  PLOT RESULTS
                    ( STOP J
    USE
 NUMERICAL
INTEGRATION
 SUBROUTINE
DETERMINE
 RATE OF
 CHANGES
                             CALCULATE MASS CHANGES IN
                             AQUEOUS AND SOLID PHASES
                                 DUE TO SORPTIQN
     FIGURE 4-4.  FLOWCHART FOR THE ENVIRONMENTAL ASSESSMENT MODEL
                                   22

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       (3)  Calculate the new masses in each compartment based on the
            assumed inflow-outflow conditions.
4.3  ENVIRONMENTAL PARAMETERS

     The constants used to define the volumes of the compartments, the fluxes
of materials, and the inflow of pollutant at a concentration of 1 ug ml'1 are
given in Table 4.2 (input pollutant concentrations are set at 1 yg ml'1 or
below the solubility, whichever is lower).  The values used to define the water
quality characteristics that directly affect the transformation and transport
processes studied in the laboratory are also given in Table 4.2.  The values
of the constants presented in this table are based on values given in Wetzel
(1975) and Leopold et al. (1964), except for the reaeration rates, which are
discussed in Section 5.3.1.
     TABLE  4.2.  PHYSICAL DIMENSIONS AND WATER QUALITY CHARACTERISTICS
                    ASSUMED  IN THE  ENVIRONMENTAL ANALYSIS


                                                      Eutrophic   Oligotrophic
	Parameter	River       Pond       lake	lake

Physical dimension

  Total water  volume  (m3)          9  x 105    2  x IO1*    5.5  x 106     5.5 x 10*
  Inflow  (m3 hr-1)                 l.OxlO6   20        9.7  x 102     9.7 x 10*
  Mean residence  time  (hr)         S.SxlO'1  1.0 x 103  5.7  x 103     5.7 x IO3
  Pollutant  inflow  (kg hr-1)8     l.OxlO3   0.02       0.97         0.97
Water quality
Total bacteria (cells ml"1)
Active bacteria (cells ml"1)
PH
Sediment loading (ug ml'1)
Photolysis activity indexb
Oxygen reaeration rate (hr"1)
[R02-] (M)

106
10 5
7
100
0.5
0.04
10-9

106
105
8
300
0.2
0.008
io-9

106
10s
8
50
0.2
0.01
io-9

IO2
10
6
50
1.0
0.01
ID'9
 aThe flow rates between compartments are given in Appendix A.

  Factor to account for differences in light transmission throi
  types of water.  Distilled water has an index value of 1.
                                       23

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                            5.  PHYSICAL PROPERTIES


      Four physical properties of each substrate were measured as part of this
 study:  solubility in water, ultraviolet (uv) and visible absorption spectra,
 volatilization rate constant, and sorption partition coefficients.  The solu-
 bility in pure water must be known because the substrate must be in solution
 for meaningful rate constants and sorption partition coefficients to be
 measured.  The solubility is also used to estimate volatilization rates.  The
 uv/visible absorption spectrum is used to estimate the photolysis rate.  Vola-
 tilization, photolysis, and sorption are possible important environmental
 pathways for the substrate.


 5.1  SOLUBILITY

      The general procedure described by  Campbell  (1930)  is simple to use to
 measure  the solubilities "of solids  in the ug  ml"1  range.   A small amount of
 the solid substrate is  placed in  an all-glass apparatus,  which is immersed  in
 a water  bath and shaken gently.   This apparatus has  two  compartments separated
 by  a glass frit.   When  the flask  is inverted, the  aqueous solution is filtered
 through  the frit to remove solid  substrate.   The  filtration step can be
 carried  out without removing  the  apparatus  from the  water bath.   After  equili-
 bration  in the  water  for several  days, the  sample  is filtered in the apparatus
 and the  filtrate is analyzed  for  the substrate.

      Generally,  at least three measurements are made.  Also,  measurements are
 made on  samples  that  have  been heated to  35°  to 40°C,  allowed  to equilibrate,
 and then cooled  in the  water  bath.   Since  the concentrations  are fairly  high,
 potential  problems that are encountered with  low-solubility materials,  such as
 adsorption onto  the frit during filtration and the possibility that  finely di-
 vided particulate  substrate is not  remove'd during  filtration,  are not likely
 to  be significant.

      Solutions of  compounds having  a solubility in the ng ml-1  range were pre-
 pared by  the  procedure  described  by  Haque and Schmedding  (1975).   The sub-
 strate is  dissolved in  an  organic solvent and put  on  the  walls  of a  5-gallon
 (18.8-liter)  carboy.  The  carboy  is  rotated slowly on its side while the solvent
 evaporates, so that a thin film of  substrate  coats the wall of  the carboy.  A
 large  Teflon-coated magnetic  stirring bar- is  added, and the carboy is filled
with  the purest water available.  Care must be taken  to prevent the  substrate
 from  coating  the bottom of the carboy so that it is liot dislodged by  the stir-
 ring  bar.  The solution is allowed  to stir gently  for at  least a week to assure
 that  equilibration  has  taken  place.   Samples  of water are withdrawn, with a
 glass siphon  and analyzed  for the substrate.
                                      24

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     In several cases, we found that even with these precautions particulate
matter, presumably substrate, could be observed in the carboy,  and the sub-
strate concentration was reduced by centrifugation at 10,000 rpm.  The solu-
bility measurements of low-solubility (less than 0.1 ug ml" > compounds should
be made on centrifuged samples.
 5.2   ABSORPTION  SPECTRA

      The absorption spectrum of the substrate is measured to determine if
 photochemical transformation or degradation is possible.  If the substrate
 does  not absorb  light in some region of the solar spectrum, then direct photo-
 chemical transformation in the environment is not possible.  Sensitized
 photolyses may also be possible, but their importance  is quantitatively as-
 sessed by experiments with humic acid (Section 6.2).

      Zepp and Cline (1977) and Wolfe et al. (1976)  have developed  a  computer
 program that will calculate the direct photochemical transformation  rate of a
 substrate, provided the substrate absorption spectrum  and transformation
 quantum yield and the solar spectrum are known  (see Section 6.2 for  details).
 This  program requires the average molar, extinction  coefficient and the solar ir-
 radiance for specific wavelength intervals, which are  listed in Table  5.1.


           TABLE 5.1.  NOMINAL WAVELENGTHS AND  WAVELENGTH  INTERVALS
                            FOR UV AND  VISIBLE ABSORPTION SPECTRA
Nominal
wavelength
(nm)
Wavelength
interval
(nm)
                          297,5           ± 1.25

                       300.0 to 320.0     ± 1.25

                          323.1           + 1.9, - 1-85

                          330.0           ± 5.0

                      340.0 and higher    ± 5.0
        *These numbers represent the wavelength intervals used by the computer
         (Wolfe et al., 1976).  The actual precision of a measured wavelength
(Wolfe et al., 1976).
Is about ±0.5 nm.
                                        25

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      Most  measurements of absorption spectra reported  in  the  literature  have
 focused  on the location and intensity of the absorption maxima.   Since the
 solar irradiance rises rapidly between 295  and  350 nm, the  low absorption
 "tail" that is often present in molecules at the  longer wavelengths  can  have a
 significant contribution to the photolysis  rate.   Therefore,  it  is necessary
 to measure the magnitude of the absorption  tail as well as  the more  intense
 portions of the absorption spectrum.

      It  is well known that the absorption spectra  of many compounds  are
 slightly different  in polar and nonpolar^solvents.  Since the substrate  will
 be in water in the  aquatic environments, we have  used pure water as the sol-
 vent  for measurement of the absorption spectra  whenever possible.  It is im-
 portant  to ensure that the absorption tail  of low-solubility  substrates  can be
 measured accurately; the concentration of the substrate should be in the 10~a
 to 10~"  M  range.  Therefore,  it is  often necessary to increase the solubility
 by adding  a water-soluble cosolvent,  such as acetonitrile.  Since acetonitrile
 is also  very polar,  at concentrations less  than about 20% by  volume,  acetoni-
 trile does not significantly  affect the absorption spectrum.  Also,  the  ab-
 sorption spectrum should be measured  in 1-cm and 10-cm cells; the 10-cm  cell
 is necessary to maximize the  precision of the measurement of  the  absorption
 tail  at  low substrate concentrations.   The  general  procedure  has  been  to pre-
 pare  a substrate solution of  a minimum of about 10~5 M in water,  using
 acetonitrile to dissolve any  solid, undissolved substrate.  Obviously, some
 trial  and  error is  required to minimize the amount  of acetonitrile.   To  obtain
 satisfactory spectra with 10-cm cells,  we have  always run solvent versus sol-
 vent  to  obtain a baseline.'*'  Then,  the cell containing solvent in the sample
 beam  is  refilled  with the substrate solution, and  the absorption  spectrum is
 measured.  The molar  extinction coefficients  e.  are obtained from Beer's law.
                                              A
                        Absorbance = - log    = e.lS                    (5.1)
                                           J.     A
                                            o
where IQ is the incident light flux and I is the transmitted light flux 'in the
spectrophotometer.  If 1, the cell path length, is in centimeters and if S,
the substrate concentrations, Is in M, then the molar extinction coefficient e
is in units of cm~ * M"1.  The average molar extinction coefficient for .each
nominal wavelength  is  calculated from the average of the molar extinction co-
efficients at the  lower and  upper limits of the wavelength interval  (.Table 5.1)
 This may not be true for substrates that are sorbed onto sediments or biota,
 especially since absorption spectra are known to shift in some cases when
 molecules are adsorbed.

 We have used Gary model 14 and 15 spectrophotometers'in these studies:  How-
 ever, any high quality, uv/visible spectrophotometer that will accept 10-cm
 cells can be used.  Suitable standards should be prepared to assure that the
 same absorbance is obtained in the 10-cm cell with a solution that is one-
 tenth the concentration used in the 1-cm cell.
                                      26

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5.3  VOLATILIZATION RATE

5.3.1  Background
        To assess the importance of volatilization as a pathway for pollutant
 substrates in natural water bodies, it is desirable to have an expression of
 the form
                                        klS]                            (5.2)

        g
 where kv is the volatilization rate of the substrate S.   Compounds of low
 molecular weight and high vapor pressure, such as vinyl  chloride (Hill et al.,
 1976), have been shown to volatilize rapidly as one might expect.  However,
 some high molecular weight,  low solubility compounds, such as DDT (Acree et
 al., 1963), also volatilize  at an appreciable rate, since the Henry's Law con-
 stant for these compounds is very high because the activity coefficients are
 also very high.  The details are discussed in Appendix B.

        Several authors have  suggested ways to estimate volatilization rates of
 compounds from water, using  theoretical considerations and laboratory measure-
 ments. Mackay and Wolkoff (1973) have suggested simple equations that can be
 used to estimate the volatilization rate of an organic solute from a water
 body under certain conditions.   When their assumptions for the evaporation
 rate of water,  etc.,  are  used and a 1-m depth for homogenous mixing is used,
 their equation (10) for the  volatilization half-life of  substrate in a repre-
 sentative lake reduces to

                                          0.108 S  .
                               Vtoy.) •    pM                         <5'3>
                                              8 S

 where Pg is the vapor pressure  (torr) ,  M8 Is the molecular weight of the sub-
 strate,  and S8at Is the solubility of  the substrate (yg  ml *).   While esti-
 mates using this equation are simple to make,  the assumption of a 1-m depth
 for  homogeneous mixing is a  serious deficiency.   In most water  bodies, mass
 transfer across the boundary layers, which is  not accounted for in equation
 (5.3),  is the  rate-determining  step for volatilization.

        Mackay  and Leinonen (1975)  recognized the problem with assuming homo-
 geneous  mixing  and  developed equations  that Included the mass transfer across
 the  boundary layers (equations  B.3,  B.4,  and B.5  in Appendix B  of this
 report).   To use this  method it is necessary to  measure  the mass transfer
 coefficients and the Henry's Law constants.  Mackay and  Cohen (1976)  have
 described  several methods for measuring these  values in  the laboratory.
 However,  these  measurements  require a special  apparatus  and some experi-
mental care.  The principal  difficulty  with this  approach is that there is
no way  to  relate  the mass  transfer  coefficients  determined in the laboratory
 to those  in the  real body of water  with varying wind and water  flow condi-
 tions.  There Is  no convenient way  to measure  the mass transfer coefficients
directly in the  real water bodies.

                                      27

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        Tsivoglou has made an important observation.   He showed that the ratio
of  the  volatilization rates of several low-molecular weight  gases from water
is  constant  over a wide range of turbulence conditions  (Tsivoglou et al. ,
1965; Tsivoglou, 1967).   Thus, for compounds A and B, the ratio

                                 kA
                                 — Y, =  constant                           (5.4)
                                 kv

It  is convenient to choose the substrate  for A and oxygen for  B.   The law  of
microscopic  reversibility requires that the rate  of volatilization equal the
rate of dissolution into the liquid for identical conditions.   The term,
oxygen  reaeration rate, Is commonly used  to express the rate at which oxygen
from the atmosphere dissolves in oxygen-deficient water.   The  oxygen reaera-
tion rate  is defined by
where  [02]  is  the  oxygen -concentration,  [02]sat  is  the  oxygen  concentration
when the water is  saturated,  and  k§ is  the  oxygen reaeration rate  constant.
The oxygen  reaeration rate  has the  additional  advantage that it has been
measured for many  different water bodies.   Values for representative water
bodies are  given in  Table 5.2.
      TABLE 5.2.  OXYGEN REAERATION RATES IN REPRESENTATIVE WATER BODIES

                                                   Values used in
                       Literature values             this study
                             (day"1)	(day"1)     (hr"1)
Pond
River
Lake
0.11 - 0.23a
0.2b, 0.1 - 9.3C
0.10 - 0.30a
0.19
0.96
0.24
0.008
0.04
0.01
        ^etcalf and Eddy  (1972).

         Grenney et al.  (1976).

         Langbein and Durum  (1967); taken from Table 2 for rivers such as the
         Allegheny, Kansas,  Rio Grande, Tennessee, and Wabash.
       Therefore, if the ratio of the substrate volatilization rate to the
oxygen reaeration rate constant can be measured in the laboratory, the


                                      28

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 volatilization rate  of  the substrate in a real water body for which the
 oxygen reaeration rate  is known can be estimated:


                 S                0              SO
               'Vwater body  = ^water body (kv/kv) laboratory         (5'6)


 Hill et al.  (1976) used this  procedure successfully to estimate the volatili-
 zation rate  constants for vinyl chloride.

       The purpose of Appendix B is  to tie all the theoretical work  together
and to show that the simple relationship
                                    ks

       0      S
where d  and d  are the molecular diameters of (>2 and S   (assuming  that they
are spherical) , can be used to estimate values of k/k  at the low turbulence
values likely to be found in natural water bodies.  In Part II of this report,
this theory will be compared with the laboratory measurements.


5.3.2  Experimental Procedures

       Volatilization rates were measured using the method described by Hill
et al. (1976).  A solution of the substrate in pure water is prepared at a
concentration that is below its saturation value.  About 1 liter of this solu-
tion is placed in a 2-liter beaker equipped with a stirring bar.  The solution
is purged with nitrogen to remove most of the dissolved 02.  At the start of
the experiment (t = 0), the concentration of substrate is measured  and the 02
concentration is measured with an Oa-analyzer.  Successive substrate and 02
measurements are made at regular time intervals.

       The  substrate  concentration versus time data are  fit  to an exponential
decay  curve of the form


                                            -*&
                                 [SJ  =  [So]e                              (5-8)


which  is  the  integrated form  of  the  first-order  rate  expression


                                 --ls]                             (5.9)
*
 Usually, an aliquot was removed and saved for subsequent  extraction  or direct
 analysis.

                                      29

-------
 The  oxygen  concentration data are  fit  to  the  integrated  form of  equation
 (5.10)
                                         sat
                                             *  I0alt)                    (5-10)
which  is
                   [o,]t    -   -       '-   -            '  "^
where  [Oa]sat  is  the  saturation concentration of Oa  in water at the tempera-
ture of the measurement  and  is a constant because the concentration of 02 in
the air is constant.

                               0      S
       To calculate values of ky and ky, we used the linear least  squares
routine supplied with  the Hewlett-Packard Model 65 calculator.  This program
gives  a linear least  squares fit to InS versus t, plus the variance of
the parameter  estimates.*  The value of kj/kj was calculated from  these values.
Other  curve fitting procedures could also be used.
                                       o
 s     Experimental problems arise if ky is either very low or very high.   If
kv is  low, evaporation of water becomes significant.  When that happens, the
mixing rate in  the beaker changes because the stirring bar, which rotates at a
nearly constant rate, imparts more turbulence to the solution as the amount of
water decreases.  Therefore, the value of k§ must be measured several times
and the variance in k^ is significantly larger.
           g
       If kv is very high, as was the case for benzo[b] thiophene , the sub-
strate volatilization rate can be comparable to the 02  reaeration rate.   In
that case, the stirring  rate must be reduced to bring k§ within a range that
can be measured.  If the stirring is too low, the solution becomes inhomogene-
ous and the data do not  fit the theoretical scheme above.   These problems  were
overcome by using a reasonable stirring rate but  reducing the liquid surface
area exposed to the atmosphere.  A 1-liter Erlenmeyer flask,  filled nearly to
the rim, was used in the volatilization experiments with  benzo[b]thiophene.
 Note that the natural logarithms of [S]  or([0a]gat - I02]t) must be entered.
 Obviously, the exponential curve-fitting routine could also be used,  but it
 does not provide the variance of the parameter estimates.
                                     30

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5.4  SORPTION OF ORGANIC SUBSTRATES

5.4.1  Background

       Sorption of organic substrates onto sediments and biota can be a very
important phenomenon in the aquatic environment.  The sediments can act as
sinks for sorbed materials, removing them from the water column.  However, the
substrate can also be released (desorbed) from the sediments at a later time.
In this way sorbed material can also be a source of pollution.  Sorption of
pollutants by sediments often results in high concentrations of low-solubilit)
pollutants in a part of the water column where uptake by biomagnification may
become significant.

       Three types of sorbents have been evaluated in this study:  a montmo-
rillonite clay, several natural sediments, and a mixture of bacteria.  The
clay was used as a reference sorbent because it could be readily obtained and
prepared by other workers.  The sediments were collected from a variety of
sources chosen to represent different types of freshwater bodies in different
parts of the United States.  The bacteria cultures were obtained from the
American Type Culture Collection (ATCC).  They were chosen because they are
representative of the types of microorganisms found in freshwater bodies and
had not been exposed to the types of substrate being studied.


       The low proportion of bacteria to other materials (such as clays, de-
tritus, humic substances) in both suspended and bottom sediments (see Table
4.1) suggests that the bacterial population does not contribute significantly
to the total amount of sorption.  The effects of bacteria in sediments on the
sorption partition coefficients are already included because the procedures we
have used to collect and preserve the sediments are such that any bacteria
originally present will be in the sediment samples used to measure the sorp-
tion properties.

       The separate biosorption measurements are useful, even if bacterial ad-
sorption is not an important fate, because biosorption is often the first step
of biomagnification and is therefore important environmentally.  Biosorption
studies indicate whether biomagnification could be an important pathway for
a particular compound.  Sorption takes place, in general, when solutions
containing a dissolved substrate contact a solid phase surface.  If the
total amount of substrate is increased, the amount of substrate that is
sorbed is also increased.
 The term "sorption" includes any type of process whereby the substrate is
 physically or chemically bound to a solid surface.  The term "adsorption"
 implies to us that the process that holds the substrate on the sediment is
 strictly physical, such as the Van der Waals type of attraction.  We have
 used the term "sorption" (or "biosorption" when the solid sorbent is a micro-
 organism) throughout this report to avoid questions about the details of the
 sorption mechanism.
                                      31

-------
     Experimental  data  for  sorption  have  generally been  found  to fit  one of
two mathematical forms:   the  Langmuir  and Freundlich  isotherms.   First,  Sw
and S  are  defined  as:
           s     weight substrate in solution
           w ~          ml solution                                     (5.12)

           s   _ weight substrate sorbed
           s ~        g sorbent                                         (5.13)


at  equilibrium.   The substrate weights must be in the same units (e.g.,  ng,
tig).   For  a  dilute aqueous solution,  1 ml of solution equals 1  g of solution,
*••*«!
and
           c   _  weight  substrate in solution
           Sw	K solution                                      (5'14)
                        g solution


The Langmuir isotherm equation is defined as
                                         abS
                                  s  -  nrj
                                   s    1 + t
where a and b are  constants  and
                                      a  =  Xc                              (5.16)

                                          K
                                                                         (5.17)
where Xc is the sorption capacity of the sorbent and K  is a partition coeffi-
cient.  Data for gas-solid sorption generally and data for organic substrates
sorbed on clay minerals usually  fit the Langmuir isotherm.  However, natural
sediments are not homogeneous—sorbed  complex organic material  such  as humic
substances is already  present  on the clay  particles—and  sorption by- natural
sediments usually falls to fit the Langmuir  Isotherm.
                                      32

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        Data for sorption  of multiple substrates from solution on nonuniform
 surfaces  generally  fit  the Freundlich isotherm, which is an empirical equa-
 tion,*


                                  S  - KS 1/n                            (
                                   a     v
 At low substrate concentrations, n is often very nearly equal to 1.  If n = 1
 and S  and Sw are in the same units, the units of each side of equation (5.18)
 cancel and K becomes a partition coefficient, as defined by


                                  Ss " Vw                              <5-19>


This  equation has been  used  to describe  the  laboratory  sorption data obtained
in  this study and is  equivalent  to  equation  (4.18),  which  is  used  in the en-
vironmental assessment  models.

5.4.2  Sorption on Clays and Sediments

       5.4.2.1  Clay  and Natural Sediments Selected  for This  Study—The  mont-
morlllonite clay used in these studies was a Wyoming montmorlllonite obtained
from  Dr. William John,  Department of Geology,  University of Missouri, Columbia,
Missouri.  Clay suspensions  (about  1% by weight) were prepared by soaking a
measured weight of clay in distilled-deionlzed water for at least one week.
The clay suspension -was then passed through an ion exchange column  that  had
been  presaturated with  calcium ions to convert the clay from  the sodium  form
to  the calcium form.  This was necessary because the Na-montmorillonite  sus-
pension could not be  centrifuged but the Ca-montenorillonite could.   The  parti-
cle size was less than  1 urn.

       The procedures that were used to prepare and  store  the natural sedi-
ments were designed to  preserve the sediments  in their  natural state as well
as possible.  Natural sediments were screened  to remove large rocks, twigs,
and other debris.  The  mesh sizes of the screens used were 4, 16, and 28 per
2.54 cm.  Following the screening,  the sediment was  nixed, using a Humbolt
splitter to be sure the sediment was uniform.  A small  volume of each sediment
was mixed with two volumes of 0.1 M calcium chloride and the pH was  recorded.
The remainder of the screened and split sediment was stored in 100-ml Nalgene
bottles at 4°C until use.  The sediments were  never  allowed to dry out, be-
cause the drying would  change the characteristics of the clay-organic complexes
in the sediments.   Similarly, no attempts were made  to  kill or remove the bac-
teria in the sediments.   Therefore, the contribution of the sediment bacteria
*Hamaker and Thompson (1972) point out that the exponent in equation (5.18),
 1/n, is "...  an archaic remnant of an attempt to give the Freundlich
 equation physical meaning and is retained only because its use is embed-
 ded in the literature."  We have continued this practice.

                                      33

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 to  the  total  sorption properties  of  the  sediment  has  been  included  in our  data.

        ft  is  very  difficult  to make  reproducible  transfers of whole sediments
 if  the  sediments are  in  suspension.   The sand  fractions  settle  rapidly, and
 they constitute a  significant  portion of the total mass  of many sediments.*
 Therefore, we used only  the  sediment particles smaller than  100 urn.  Our ex-
 perience indicates that  less than 100-um sediment can be reproducibly trans-
 ferred  as  a slurry.   The less  than 100-um sediment was prepared from as-
 received sediment  by  screening and a final settling of 30  seconds to remove
 coarse  sand.

        The characteristics of  the Ca-montmorillonite  clay  and natural sediments
 used in these studies are given in Table 5.3.   The organic carbon (OC) values,
 expressed  as  percent  carbon  by weight, were determined using the Walkley and
 Black procedure, which involves oxidation of the  organic material by chromate
 followed by back-titration with ferrous  ammonium  sulfate (Hesse, 1971).  Other
 methods of determining OC values,  such as combustion  and determination of
 evolved C02,  could have  been used  and would most  likely  give different OC
 values.  However,  the trend  in the organic carbon levels in  the sediments
 should  not change.

        5.4.2.2  General  Procedures—Screening  studies for sorption were made to
estimate the magnitude of the  partition coefficient K_.   This value was used
in the one-compartment model to provide an estimate or the importance of sorp-
 tion as an environmental pathway.   Biosorption studies were not carried out on
substrates that were not strongly  sorbed  on the natural  sediments and/or were
 rapidly biodegraded (see Section  7).  The screening isotherm measurement was
usually made on the Coyote Creek sediment, which was arbitrarily selected be-
cause we had  collected a large sample and because it has an intermediate or-
ganic content.

       To set up these screening  isotherms, it is necessary to make an
estimate of the partition coefficient, based on the solubility of the substrate
 in water.   In general, as the  substrate solubility decreases, the value of the
partition coefficient  increases.   For instance, Bailey et al. (1968) studied
 the sorption of several  series of  organic herbicides including amines and
acids on montmorillonite clays.  They found that  the log Kp was related to
 solubility in water "within  an anai'og series basic in chemical character."  In
 their case, cation exchange  and surface acidity of the clay and the pKa of the
herbicide determined  the sorption'within  a chemical family.  The chemicals
 studied in this program  do not fit within the  families studied by Bailey et al.
 because they  do not have acid  or  basic character  (except £-cresol).   The sorp-
 tion of the compounds  studied  here is probably due entirely  to Van  der Waals
 ty-pe of sorption.
it
 Reproducible transfers of dried, whole sediments could be made, but the nature
 of the sediment would probably be significantly altered by the drying process.


                                       34

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              107
Ul
i
5
H
u.
ui
8

§
H

i
              to1
                  =  IM iuii|   i  11 inn)i  11 ii ni|   i  1111 ni|   i  11 u MI|   i  i MIIII|   i  11 inn)   i  111 ui*



                                                                             O MEASURED Kp


                                                                               MEASURED Kb
          i 11 mill   i 11 mill   i  t i n nil   i  i i mill
                                                                                           11 aid   iNaiiiii
                 10-io
                 10*         10-8
io-7
10-*
10"3
                                                        SOLUBILITY (g ml'' )
                   FIGURE 5-1.  SOLUBILITY VERSUS PARTITION COEFFICIENT ON COYOTE CREEK SEDIMENTS (Kp>

                               AND ON A MIXED POPULATION OF BACTERIA (Kb)

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               TABLE  5.3.   SOURCES AND CHARACTERISTICS OF
              Ca-MONTMORILLONITE  CLAY AND NATURAL SEDIMENTS
                                               Sediment   OC
    Source
  Location and description
                Cation
               exchange
               capacity
              (meq/100 g)
Navarro River
Des Moines
  River

Oconee River

Coyote Creek
Ca-montmorillonite clay

Mendocino County, California
An unpolluted river that
drains redwood forests,
orchards, and pasture

Iowa
Georgia

San Jose, California
A eutrophic, polluted
s t ream
Searsville Pond  Uoodside, California
                 A small eutrophic but
                 unpolluted pond
6.7
7.1


6.2

6.5



6.7
0.05

0.5
0.8


0.8

1.9



5.0
69.0

 4.5
10.5


 8.5

13.5



34.5
Organic carbon; Walkley and Black value, corrected for recovery by multiplying
experimental value by 1.33.

       Figure 5.1 is a plot of the logarithm of the partition coefficient
data obtained on this project versus the logarithm of the substrate solu-
bility in water.-.at.-about 20°C.  The values of Kg were obtained from the
Coyote Creek sediment- (Table 5.3); the values or KJ, were obtained from the
mixed population of"bacteria described in Section 5.4.3.  While there is
some scatter of the data, the correlation is surprisingly good.  This
correlation can be used to estimate the order of magnitude of the sorption
partition coefficient for other compounds.  Compounds/that interact with
sediments via an ion exchange mechanism probably would hot fit this plot.

       Many experimental designs  for sorption studies are possible.  'In most
cases, the clay-and sediment isotherm measurements were made at two sediment
loadings and two substrate concentrations.  Biosorption studies were made at
one level of the mixed bacteria culture and two levels of substrate.  Replicate
flasks were used at each level, and at least three analyses of each flask
were made.  Suitable blanks of both sorbent arid'substratevwere;?carrled~-
through the experimental steps and analyzed.  Contact times'of"1 -to 16  '
                                     36

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 hours were  used.  The  equilibrium partitioning is  probably reached in
 about 1  to  2  hours.  There were  no  experimental problems  in the sediment
 aorption studies with  the 16-hour time,  except for pj-cresol, which blode-
 graded rapidly during  the experiment.   In that case,  a  1-hour  exposure was
 used.  For  the biosorption studies,  the  partitioning  time was  about 1 hour.
 At  longer times, sorptlon by  the glassware was a problem  with  low-solubility
 substrates.

       As the experiments progressed,  the experimental  plan for the Isotherm
 measurements  evolved into the experimental plan described in Table 5.4.   We
 consider this to be the minimum  number of data points that will permit a sound
 statistical analysis of the data.


     TABLE 5.4.  RECOMMENDED EXPERIMENTAL PLAN FOR ISOTHERM MEASUREMENTS

                               	Number of flasks3	
                 Substrate         No         Low         High
               concentration     sediment    sediment     sediment
                   None            122

                   Low             222

                   High            222
      Four replicate measurements of the substrate concentration at equili-
      brium in each flask should be made.


       The mechanics of the isotherm measurements were generally the same
whether the sorbent was Ca-montmorillonite clay, a natural sediment, or our
bacterial mixture.  A solution  of the substrate in water was prepared.  An
aliquot of the substrate solution .and an aliquot of a suspension of the
sorbent were mixed and allowed to shake  for a specified period of time.  The
mass of dry sorbent used was determined, normally by a gravimetric procedure,
in a separate experiment.  A portion of  the mixture was centrifuged to
separate the substrate remaining In solution and the sorbent.  The supernatant
and usually the sorbent were analyzed separately to measure the substrate
concentration.

       5.4.2.3  Statistical Analysis of  Isotherm Data—The statistical
analysis of the isotherm data on clays and sediments was considered carefully.
 The importance of using true solutions below the substrate solubility limit
 cannot be overemphasized, especially with low-solubility substrates.
                                      37

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The simplest, and often adequate,  procedure is  to fit  the data to the
Freundlich Isotherm equation with  n = 1,
                                   S  = K S
                                    s    p w
                                         (5.19)
The value of Sw was always measured.  If Ss was not measured independently,
then it was calculated  from
                               S   =  (S  - S )V /m
                               s     o    w7 w  s
                                         (5.20)
where SQ is the  initial  concentration of substrate used  (determined from the
concentration in flasks  without  sorbent), Vw is  the volume of solution  (in
ml), and ms is the mass  of  sediment  (in grams) added  to  the flask.  Pre-
liminary estimates of Kp were  obtained by two methods:   when only Ss was
measured, every  concentration  measurement was used, and  when both Ss and Sw
were measured, average Ss and  Sw were calculated for  each flask.  In both
cases the data were  then fit to  an equation of the form
                                     y = bx
                                         (5.21)
(notice the similarity to equation 5.19) using a linear least squares regres-
sion method.  The regression equations are:
                yx
Ex,
(n - I)'
                r2 =
                                            '

                                   (Lxiy± } *
                                   \   * * /
               V - J
                                                              -l
                                                                        (5.22)
                                                                        (5.23)
                                                                        (5.24)
                95% confidence interval - (tn_i,a ) SyX(Exi2)            (5.25)


where b = Kp is the slope, XA and y^ are the individual or average measure-
ments from each flask of Sw and Sg, respectively, Syx is the standard error,
r* is the correlation coefficient, and tn_i o is the t-value from Student's
                                      38

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t-test for n measurements at a - 0.05 confidence.  These expressions are in the
form suitable for use in hand calculators, such as the HP-6S.

       It is also possible to test that the linear Freundlich isotherm  (n = 1,
equation 5.19) does pass through the origin.  To do this, the data are  fit to
linear equation of the form
                                 Ss = Vw + ao
where aQ is the intercept.  The HP-65 Stat-Pac routine  is used  to estimate the
95% confidence Intervals about ao.  If these confidence intervals include the
origin, then equation (5.19) can be used.  In the data  we have  tested so far,
the linear Freundlich equation, passing through the origin gives the best fit
of the data, based on the values of the correlation coefficient.

       The isotherm data have also been fit to other equations, using linear
regressions available in the HP-65 Stat-Pac routines.   The Freundlich isotherm
n * 1
                                  S8 - KS8                               (5.18)


becomes


                                    y = axb                              (5.27)


The Langmuir equation can be written as


                                                                         (5.28)


and then fit to the form y = ax + b.  However, this is not a good statistical
analysis because the variables 1/SW and 1/SS are not normally distributed even
if S  and S  are.
    s      w

       Strictly speaking, these linear least squares methods are not
statistically correct.  When only Sw is measured, Ss is calculated using equa-
tion (5.20) and a linear least squares method then has the response variable
Sw on both sides of the regression equation.  This makes the confidence  limits
for the parameter values invalid.  The linear least squares procedure is also
inefficient because it does not use all the data to estimate S .
                                                              o
                                      39

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       The limitations of the  linear method can be removed by stating the
problem as:
          When sorbent is present

                                A    t*
                                S.. - a.
                                            ; i = h or £                  (5.29)
          When sorbent is not present
                              S  = S.  ; i = h or £                      (5.30)
                               w    l
The hat on a^varlable indicates  that  its value is estimated by the regression
procedure.  S^ is equivalent  to  SQ and represents the original amount of sub-
strate present in each  flask,  Sn being the concentration in flasks with the
high amount of substrate and  S^  being the concentration in flasks with 'the
low amount of substrate. Ms represents the amount (grains) of sorbent present.
In this procedure, §h or §£ is estimated using all the flasks as in the
linear method.

       Since each flask is handled separately and at a different time, the
above procedure was modified  to  include "flask effects" as an estimated
parameter.  Flask effects include such things as biases due to instrument
drift and systematic errors on the part of the analyst.  The resulting problem
formulation is suitable for input to  a nonlinear regression program that esti-
mates values for Sh, Sj., ao,  Kp,  and  the flask effects.  The actual results of
the nonlinear regressions are comparable to  the estimates obtained from the
linear least squares regressions, except that the nonlinear approach gives
smaller confidence limits for the parameter  estimates.

       When both Ss and Sw are measured, the linear  least squares procedures
using average values for Ss and  Sw are not statistically correct because again
response variables appear on  both sides of the regression equation.  In addi-
tion, the averaging procedure throws  away valuable information about experi-
mental variance.  To deal more correctly with this situation, we use eight
simultaneous nonlinear  regression equations. Four regressions use only the
substrate concentrations measured on  the sediment from the various flasks.

                        Sg =  K §±    i = 1, 2, 3, 4                   (5.31)


and four regressions use only the concentrations measured in  the supernatant,
V
                               SJ_     1  =  1,  2,  3,  4                      (5.32)
                                       40

-------
 where  S^ is  the  estimated  value  of  substrate concentration in a particular
 flask.   With this  formulation, the  response variables  appear only on the left-
 hand side of the regression  equation.   The subscript "i"  on the right-hand
 side is  the  independent  variable, since it indicates the  conditions used to
 set up the flask.   For example,  1=1  indicates the two duplicate flasks that
 contained high^sediment  and  high substrate concentrations.  The common para-
 meters Kp and S^ tie  the simultaneous  regressions  together and assure that
 the resulting estimate for Kp is conditioned on both the  sediment and super-
 natant concentrations measured.

       The method  Is  superficially  similar to the  simple  linear least squares
 procedure used to  estimate Kp.   The regression equations  (5.32) use the super-
 natant concentrations to estimate a single concentration  that best represents
 the concentration  in  the flasks  for each different substrate and sediment
 level.   This representative  concentration is then  used with the concentration
 of supernatant on  the sediment in equations (5.31) to  estimate K_.   An impor-
 tant difference  between  the  two  approaches, however, is that, with the non-
 linear approach, the  supernatant concentration, §if  that  represents a parti-
 cular substrate  and sediment level  is  not necessarily  the average supernatant
 concentration.   The values of S^ determined by, the method are almost always
 very close to the  average  except when  concentration measurements are highly
 scattered.

       An important feature of nonlinear approach  is that it does not require
 that the same number  of  observations of both S^ and By be made in each flask.
 The formulation  also  does  not require  that individual  measured values of Sg
 and Sw from  a particular flask be paired (see equation 5.19).   This is an
 important feature  because  any pairing  of data points is artificial  and could
 bias the estimate  of  Kp.


 5.4.3  Biosorptlon and Desorptlon

       Biosorption and desorption on biomass are important because  they  may
 affect biomagnification  up the food chain and the  "available" concentration
 of a substrate for biodegradation.   They may also  affect  the viability or
 growth of micro- and  macroorganlsms that may participate  in biodegradative
 reactions.   All  these factors have  been demonstrated in various studies  with
 polyaromatic hydrocarbons, which are of much concern as potential carcinogens.

       Our biosorption and desorption  studies were conducted  with mixtures of
 four species  of gram-positive and gram-negative'aquatic-origin  bacteria  that
 had frequently been used in various microbiological assays  and  had  no  record
 of functioning as  degraders of the  types  of  compounds  studied.   The mixtures
 contained equal optical densities of Azotobacter beijerinckii ATCC  19366,
 Bacillus  cereus ATC 11778,  Escherlchla  coll  ATCC 9637,  and Serratia marcescens
ATCC 13880.   In the early stages of  this  program,  Flavobacterium capsulatum
ATCC 14666 was used, but because this organism was difficult  to  centrifuge to
a compact pellet and clear supernatant,  it was  replaced with  the above indi-
cated Serratia marcescens.
                                      41

-------
       The test organisms were transferred several times in Trypticase-Soy
broth at 25°C before they were used for sorption studies.  Sixteen-hour cul-
tures were either in the late logarithmic or early stationary growth phases.
At this stage, each culture was harvested by centrifuging, washed with 0.05%
potassium phosphate buffer (pH 7.0), resuspended and diluted with this buffer
until the suspension had an optical density of 2 to 4.

       Appropriate aliquots of suspensions of each of the four organisms were
combined and diluted with buffer to form a mixture containing equal optical
densities of each organism and a mixture that, when mixed with the solution of
the substrate, resulted in the desired concentration and organisms.  With
substrates having a low solubility, the density of the bacterial mixture
was lower than with more soluble substrates.

       In some instances, biosorption studies were also conducted with heat-
killed cells.  Consequently an aliquot of the above mixture of organisms was
heated at 100°C for 15 minutes, cooled, and centrifuged.  The resulting pellet
was resuspended in fresh buffer to the original volume, and an appropriate
volume of this suspension was diluted as above with a solution of the sub-
strate under study to yield the corresponding cell densities and substrate
concentrations.

       Biosorption studies were conducted by incubating the viable and heat-
killed cell mixtures in Corex centrifuge tubes or bottles for 1 hour at 25°C,
Cells were maintained in suspension by placing the containers in roller drums
or on a rotary shaker.  The tubes or bottles were centrifuged for 10 minutes
at 12,000 or 16,000 G, respectively, and the supernatants were carefully de-
canted.  The supernatants were extracted with an organic solvent (usually
ethyl acetate).  The solvent extract was dried and then assayed directly or
concentrated before assay.  To assay sorbed substrate in the pellets, water
was added and this suspension was solvent extracted as above.  With some sub-
strates that were tenaciously retained by the cell pellets, the water-
suspended cells in the presence of some solvent were slowly frozen and thawed
three times before extraction.

       Desorptions were conducted only if the sorption partition coefficients
were 10,000 or more.  The cell pellets from replicate sorption studies were
suspended in volumes of buffer or buffer and solvent equivalent to those used
for sorptions, incubated with shaking at 25°C for 3 hours, and centrifuged.
Both supernatants and pellets were analyzed by the procedures used for sorp-
tion determinations.

        In some  cases,  corrections  were made  for  adsorption on  glassware  of sub-
 strate and cultures containing sorbed  substrate.   Separate controls  consisted
 of extraction  of  tubes  from which  the  incubated  suspensions in test  substrate
 solutions were  decanted  in lieu  of separation  of  cells  by  centrifuging.

        Dry weights  of  cells  used in sorption studies  were determined by
 weighing  the pellet obtained  after cells  from aliquots  of mixed viable
 or heat-killed  bacterial  suspensions were  centrifuged,  washed  with dis-
 tilled water,  and dried  for  16 hours at  90-95°C.

-------
       The biosorption partition  coefficients  of  chemicals between bacteria
and buffer were determined as


                       K  _ pg substrate per g dry wt of cells
                        p   ug substrate per ml in supernatant          (5.33)

       The results obtained in these tests had good consistencies and may be
regarded as indicators of sorption of the compounds on the bacteria.  It
would be interesting to compare these results with data that would be obtained
with algae and protozoa or with biomass from natural reservoirs.  The latter
would present problems in separation of biomass from inorganic or humic mate-
rials that would also be centrifuged.
5.4.4  Discussion

       The major problem in extrapolating the sorption partition coefficients
obtained by these laboratory procedures to environmental conditions is that
the composition of sediments and bacterial mixtures that would exist in the
natural system change dramatically with the time of the year.  Therefore, the
composition of sediment and bacterial samples collected at one location are
likely to be different even if they are collected only several days apart.
In an attempt to overcome this problem, we have measured the sorption parti-
tion coefficient on several sediments and on a mixture of bacteria.  On the
basis of these and other studies, we estimate that the value of Kp for a
specific sediment or group of organisms should not vary by more than a factor
of 3 in the environment.  Also, there is considerable evidence, both from our
studies and from studies reported in the literature, that there is often good
correlation between the magnitude of K- and the total organic content of the
sorbent.
                                     43

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                         6.   CHEMICAL  TRANSFORMATION
6.1  BACKGROUND

     The chemical processes of  photolysis,  free radical oxidation, and hydroly-
sis described in this section  can  be  important transformation processes for
some chemicals in aquatic environments.  Emphasis in this work has been on ob-
taining reliable kinetic data  for  use  In estimating how rapidly these processes
will occur in freshwater systems.  Laboratory studies were conducted In pure
water and in natural waters from three natural sources in California:  Lake
Tahoe (oligotrophic), Coyote Creek (eutrophic), and a pond near Searsville
Lake (eutrophic).  Chemical properties of  these waters are given In Appendix
A of Part II.  All natural water samples were filtered through a 0.45-um fil-
ter to minimize sorptlon problems  and  to ensure homogeneous solutions for
kinetic studies.  Kinetic data for reactions in these natural waters were con-
pared with data  for reactions  in pure water  to determine what effect, if any,
the dissolved natural substances have on the rates of specific chemical pro-
cesses.

     When comparison with other processes  under study indicated that a
chemical transformation was an important pathway, the primary reaction
products were Identified or characterized  by several procedures, including
Isolation by chromatography followed  by spectrometric analyses.  Knowledge
of the reaction products is essential  to understanding the chemical pro-
cess and to any subsequent hazard  evaluation that might be based on these
data.  Whenever possible, quantitative material balances were obtained to
ensure that other unsuspected  physical, chemical, or biological processes
were not occurring simultaneously.

     As a further check on the validity of the kinetic measurements, control
or blank experiments were carried  out  along with the kinetic experiments.
Where preliminary studies indicated the importance of biological transforma-
tions, sterile conditions were maintained  during chemical experiments.  Pre-
cautions were taken to exclude losses  through volatilization, and glassware
was continually checked to identify any losses through adsorption.  ^In a* very
few cases, competing processes could not be excluded entirely, and corrections
for these processes were made  in the kinetic data obtained.  These problems
emphasize the need for good material balances and control experiments in order
to obtain reliable chemical kinetic data and relationships for environmental
processes.

     It is important to recognize  that the procedures described below are in-
tended to describe experimental laboratory procedures for reliably'evaluating
chemical transformation processes  in the solution phase of aquatic systems.

-------
 Although the immediate application of this methodology is for environmental
 exposure assessment, the data and procedures also serve as basis for investi-
 gations of the more complex features of aquatic environments, including the
 effects of suspended solids and sediments and dissolved natural organics in
 some waters on  these environmental  transformation  processes.
 6.2  PHOTOCHEMISTRY
      The cutoff for the solar spectrum by the upper atmosphere is at about
 290 nm, and in aquatic systems only absorption of photons of this or longer
 wavelengths can result in photochemical transformations.  These transforma-
 tions may occur through direct photolysis of compounds that absorb light
 above 290 nm or through photosensitized reactions involving other light
 absorbing organic substances found in natural waters.  Although the kinetics
 and mechanism of direct photolysis of compounds can usually be evaluated
 using present theory and experience, the details of sensitized photolyses in
 which organics In natural waters act as sensitizers are largely undefined.
 An excellent discussion of environmental photochemistry has recently been
 published (Wolfe et al., 1976).

      The rate of absorption of light, IA (rate constant ka), by a chemical
 at one wavelength is determined by:  the molar absorbtivity  e (also called
 the molar extinction coefficient), a term 1^ proportional to the Intensity
 of the incident light, and the concentration of substrate  [S] at concentra-
 tions of S where only a small percentage of the light is absorbed (Zepp and
 Cline, 1977)
                              IA = eIA[S] = katS]                         (6.1)


where k  = el..  The rate of direct photolysis of a  chemical  (rate constant
kp) is then obtained by multiplying ia by the quantum yield , which  is  the
efficiency for converting the adsorbed light into chemical reaction,  measured
as the ratio of moles of substrate transformed to einsteins of photons  absorbed.
and
                             ~ dT= ka*ISj = VSJ                        (6'2)
                                    kp = ka*                              (6.3)
     The simplest and most direct method of using laboratory experiments (as
contrasted to field studies) to estimate environmental photolysis rates is to
expose an aqueous solution of a chemical to outdoor sunlight and monitor its
rate of disappearance.  However, the data obtained are of limited use because
                                      45

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 sunlight  intensity varies with the time of day,  season,  latitude, weather con-
 ditions,  and light scattering.  Thus,  any outdoor experiment has questionable
 value  In  application to other conditions of sunlight irradiation.

     Another method for estimating environmental photolysis  rates has been de-
 scribed by Wolfe and coworkers (1976)  and by Zepp and Cline  (1977).   This
 procedure Calculates the rate constant kp from values of  c and  4 measured in
 laboratory experiments;  the sunlight  intensity (1^)  data  as  a function of time
 of day, season,  and latitude are available in the literature.   Thus  photolysis
 rates  can be estimated  for different  environmental conditions.

     Both the molar extinction coefficient  (e) of  a  chemical  and the sunlight
 intensity (I) vary as functions of wavelength.   The  average value of the
 absorption coefficient,  e\,  for a specified  wavelength interval  centered  at
 wavelength X (see Table 5.1 for wavelengths X and the wavelength intervals)
 is determined from the  absorption spectrum of the  compound (Section  5.2).
 The absorption rate constant,  ka,  for  a compound  absorbing in the solar spec-
 trum is then obtained by summing the product of  e\ a°d I\ over all wavelengths,
 where  e > 1  M""1  cm"1 and 1^ Is the solar Intensity over the wavelength inter-
 val centered at  \  for a  selected latitude and season or time of  day.

                                  ka - EIX£X                              (6.4)

 When e^ is expressed as  the molar absorption coefficient  (M~l cnT1),
where J = 6.02 x 1020 is a conversion constant  that makes the units of  I and i
compatible.

     The rate constant  for photolysis (kp) is equal to  the product of k.a and
the quantum yield ; generally 4> does not vary  significantly with wavelength.

                                                                         (6.6)

Assuming the reaction is first order in  the chemical, the half-life for pho-
tolysis is given by
                                           i.i
                                                                         (6.7)
     The computer program used to make these calculations gives a plot of the
half-life of the chemical toward photolysis as a function of the month of the
year.  These half-lives are based on the average values of kp for a full day's
photolysis.  For half-lives of less than several days, variations in sunlight
intensity during the day must also be considered.  For these shorter half-
lives, the computer program provides data for half-lives as a function of the
time of day.

     Laboratory measurements of   were carried out using a merry-go-round! ap-
paratus (Moses et ai., 1969) to achieve even irradiation of all reactio'n tubes.

-------
 We  used  a  450-watt medium pressure Hg  lamp  because  it  provides  intense  lines
 at  313 and 366 nm that are easily isolated by  filters  (Calvert and  Pitts,  1966).

     Samples of  chemicals dissolved  in water  were placed  in borosilicate  tubes
 in  the merry-go-round and irradiated for  periods from  several hours  to  days at
 each wavelength.  Tubes were withdrawn at various intervals and analyzed  for
 starting chemical.  Light intensity  at each wavelength was measured  periodi-
 cally using an jo-nitrobenzaldehyde actinometer  (Pitts  et  al., 1964)  in  tubes
 similar  to those used for reaction mixtures.  In most  cases these  photolyzed
 solutions  of chemicals were also used  for product analyses  (Section  6.1).

     In  cases where the laboratory photolyses proceeded slowly  under monochro-
 matic light, photolyses were also carried out using only  the borosilicate
 glassware  as a filter.  Although borosilicate cuts  off wavelengths below  280
 nm, it does not  isolate a single wavelength and quantum yield measurements
 cannot be  made.  However, the greater  light intensity  transmitted  by the  boro-
 silicate filter  allowed the photolyses to be  carried out  rapidly to  beyond two
 half-lives to establish that the reaction was first order in substrate.   This
 information was  needed for extrapolation  of the rate data in the environmental
 assessment.

     Outdoor photolyses using sunlight were also carried  out with  each
 chemical to validate the computer calculation  of half-life in sunlight based on
 measured values  of ex and ifr.  Sunlight photolyses require some  attention  to
 placement  of apparatus.  Ideally, the  photolysed solutions should  be In a lo-
 cation free of excessive reflections from walls and windows and without morn-
 ing and  afternoon shadows.  Although large  diameter dishes with flat trans-
 parent tops (petri dishes, for example) are preferred, we used  11-mm-O.D.
 borosilicate tubes held in a rack at a 60°  angle to the horizon.   Test  tubes
 are much more readily sealed for long  exposure and, judging from the good
 agreement  between computed and measured values for  tlj  in  sunlight  for most
 chemicals,  are quite satisfactory for  this  purpose.

     When  possible, photolyses were carried out in  pure water or in  filtered
 natural  waters with no cosolvent.  In  many  cases, however, it was  necessary to
 include  up to 1% acetonitrile by volume as  cosolvent because the solubility of
 the chemical In water alone was very low.   Acetonitrile was chosen because it
 would not  act as sensitizer at wavelengths  In the solar spectrum or  take part
 In any free radical reactions that might  occur in photolyses.   Initial  con-
 centrations of chemicals in the photolyzed  solutions were usually  1  pg ml'1
 or less, and for each chemical some photolyses were carried out to at least
 two half-lives to verify that the reactions were first order In substrate
 as predicted by equation (6.1).

     For systems that absorb less than 5% of  the incident light  (< 0.02 ab-
 sorbance)  at wavelength \, 4> may be calculated from the photolysis rate con-
 stant k_ obtained from the slope of the first-order plot of the  photolyses data
using the Integrated form of equation (6.1).

                                In (SQ/S) = kpt                          (6.8)
                                      47

-------
where £ is the pathlength, S and  So are substrate concentrations at times t
and to, and 1^ and e.\ are as defined above.  The value of I\ may change from
time to time and requires periodic calibration using the actinometer to
correct for such changes.

     When  comparisons were  made between measured and calculated half-lives  for
chemicals  in sunlight at 40°N.  latitude  (about  that of Menlo  Park,  California)
using  procedures  described  above, we  found excellent agreement, usually within
a  factor of two.   These results support our assertion  that  laboratory measure-
ments  of this  kind can  provide  reliable estimates of half-lives toward photol-
ysis in sunlight.

     In some aquatic environments, however, rates of photolysis may differ
significantly  from those measured in  pure water owing  to  the  presence-of
naturally  occurring light absorbers,  quenchers, or  sensitizers.   In water,
naturally  occurring materials  such as humic or  fulvic  acids,  which  haveJhigh
optical densities, may  absorb  sunlight and effectively  screen the chemical
from being photolyzed.   The presence  of particulate materials in water may  al-
so result  in light scattering.   In both cases  the photolysis  rate of the
chemical would be slower than  in pure water because the physical processes
reduce the light  available  for  reaction.

     Materials present  in natural waters  may also either  accelerate or retard
photolyses of  substrates through chemical processes.   Acceleration  of photoly-
sis rates  for  some pesticides  in natural  waters has been  demonstrated  (Wolfe
et al., 1976).   In most experiments it was not  determined whether the rate
acceleration was  due to a photosensitized reaction  or  to  a  photoinitiated free
radical process.

     Both  processes occur through absorption of light-by  the  natural ~s"ub-'
stance, which  then interacts with the chemical.   In the photosensitized ^"reac-
tion,  the  excited-state energy from the sensitizer  is  transferred to the
chemical,  which  then undergoes  reaction;  the identity  of  the  sensitizer  is
maintained.  In  the photoinitiated reaction, the  natural  substance  that  ab-
sorbed the light  reacts with the chemical and  both  materials  are  transformed.
If either  process is more rapid than  direct photolysis of the chemical,  the
rate of photolysis will be accelerated.   However,  in  natural  waters with
significant optical densities,  an acceleration of photolysis  due  to either
mechanism  may  be  somewhat offset by the  screening capability  of  the water.

     Results obtained in this  project also indicate that  in some  cases the
presence of natural substances in water may make  the 'photolysis  rate slower
than it would  be  in pure water.  The  reason for this  effect is not  known, but
it is  not  due  to  a screening effect,  since the natural waters in  which the
observations were made  had absorbances of < 0.02  at 366 nm where  the photoly-
ses were carried  out.

     Since the presence of natural water  can either accelerate or retard the
photolysis of  a  chemical, half-lives  based on  pure  water  photolyses must be
interpreted with  some caution.   If experiments  in natural waters  give  faster
photolysis rates  than in pure  water,  the  photolysis rate  in pure  water is use-
ful as a conservative value (i.e., maximum half-life).  When  the  photolyses in


                                       48

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natural waters are slower than in pure water, the half-life estimate obtained
for the pure water photolysis should be used with an appropriate  qualification
that in some cases longer half-lives may occur and that more experiments may
be needed to determine how much slower the photolysis is likely to be.
 6.3 FREE RADICAL OXIDATION

     Oxidation of organic compounds  by  free  radical  processes may be important
under some environmental conditions.  The most  general  reaction scheme for
radical oxidation with  an azo  initiator is
                                         kd
                                  RaNa  —-»2R'+Na       initiation     (6.10)

                               R; +  oa-^SS.Roa-                         (6.11)
                                        k
                             R0a' +•  XH -23L-RDaH + X-     oxidation      (6.12)
                                   2ROa* 	-(2  RO} + Oa                  (6.13)
                                        2RO-             termination
                                                         products
                                        k._
                              RO- + XH  -i*2—ROH +  X-      oxidation      (6.14)

                                        kd
                                   RO'   -  • cleavage  products            (6.IS)

The rate of oxidation of compound XH  Is then

                  rox = -d[XH]/dt = kox[R02-][XH] + k^ROHXH]           (6.16)

     To evaluate the potential  importance of oxidation  under environmental
conditions, we need to be able  to evaluate equation  (6.16)  for  specific  com-
pounds in specific environments.  Values for rate  constants k    and  k._  are
known reliably for many organic compounds in organic  solvents THendry  et al.,
1974) but have rarely been measured in  water or for most of the organic  com-
pounds studied here.  For these reasons we developed  a  simple screening  ex-
periment that provides a reasonably reliable method for evaluating kox in
water for compounds of interest and a reliable method for evaluating relative
reactivities toward R0a*for a series  of compounds.

     As a source of ROa' we have chosen  a commercially available azo  Initiator,
4,4-azobis(4-cyanovalerlc acid) (AA)

                            (H02CCH3CH,C(CN)(He)
                                      49

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AA is slightly soluble in water and decomposes at 50°C with a  rate  constant kj
of 1.9 x 10~* sec~l (tJj = 100 hours) to give two carbon radicals, a fraction
of which is rapidly converted to peroxy radicals in the presence of oxygen.

                                       kd
                                RN2R  —=» 2R-+ N2                        (6.17)

                                   2ft  (1"e), products                     (6.18)
                                       2R02-
The rate of production  of  R0a   is d [R02']/dt  =  2ekd[R2N2]  where e is the
fraction of radicals R«  that are available for oxidation.   In a separate  study
(Mill et al.,  1977) e has  been  evaluated  as 0.6, which is  very similar to
values of e found  for other azo compounds in organic  solvents (Denisov,  1974).
Under conditions where  only a small concentration  of  [XH]  is oxidized compared
with the total concentration of R0a-  generated,  the instantaneous concentration
of R02* (steady-state)  depends  only on the rates of initiation and termination.
Moreover, under these conditions the only fate of  RO*  is to cleave (reaction
6.15); therefore,  equation (6.16) simplifies to:


                            rox = kox[R02-][XH]                         (6.19)


      Experiments  were  carried  out by heating  an air-saturated aqueous solu-
tion containing about 10"* M AA and the chemical below its solubility limit
for up to 100  hours at  50°C, a  half-life  for AA.   In  some  cases analyses  for
the chemicals  were made at periodic intervals, and in other cases replicate
analyses were  made at 100  hours.  A first-order plot  of the data (log concen-
tration versus time) at two or  more times gave a straight  line corresponding
to the relation:


                         ln([XH]t/[XH]o) = -kQx[R02-]t                  (6^20)


with a slope equal to -k  [R02-].

      With these concentrations of AA and XH used  in  most  experiments, the
value of  [R0a*] may be  calculated from the steady-state assumption that the
rates of Initiation and termination are equal:


                          [R0a-]
where k  = 1.9 x  lO"6  sec'1,  e  = 0.6,  and  2kx =  2  x 107: M^1,;sec~l:.*
*
 J. A. Howard, National Research Council  of  Canada,  private communication,
 1977.                                50

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 With  [AA] -  7.5  x  10~» M,  [R0a'l is  then  2.9  x 10~9  M.   From the  slope of the
 line  described by  equation  (6.20):
                                -  slope/(2.9 x 10~9)                     (6.22)
                 25°
The value of  kQ     may be calculated  from the value of kox    by assuming
that  the activation energy for  the  reaction of  R0a*  with XH has  an average
value of 10 kcal mole'1 (41. 8 kJ mole)'1, which  corresponds to  a  factor of nine
in rate.  Thus:


                              kox25° -  O.llkox50°                        (6.23)


The rate of oxidation and half-life at  25°C may then be calculated from this
value of kQX and an estimate of the concentration  of R0a>  present  in  aquatic
environments.

      For purposes of this study, we have assumed that [R0a']  in aquatic en-
vironments is 10~" M.  This assumption  is untested,  but when combined with an
experimental value of kox, it places a probable  upper limit on  the  rate of oxi-
dation and thus on the importance of oxidation  under environmental conditions
when  compared with competing physical,  chemical, and biological  transformations.


6.4   HYDROLYSIS

      Hydrolysis of organic compounds usually results in introduction  of a hy-
droxyl function (-OH) into a chemical, most  commonly with  the  loss of  a
leaving group (-X) .  These reactions
                             RX + HaO  — ROH + HX                     (6.24)



                          R-C-X + HaO  — -R-C-OH + HX                  (6.25)


may be catalyzed by acids or bases  (rate  constants  kA  or kg, respectively) or
both.  The kinetics of hydrolysis can  be  expressed  as
                          = kB(OH-][S] + kA[H*HS] + kjj'lH.OHS]         <6-26>
where kh is the measured first-order rate constant at a given pH.  The last
term is the neutral reaction with water (second-order rate constant kN'), and
                                      51

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in water it can be  expressed  as  a  pseudo-first-order  rate  constant k^.   Since
with few exceptions, hydrolysis  reactions  are  first order  in  chemical,  the
half-life of a chemical  toward hydrolysis  may  be expressed as
                      t^ =  In  2/(kB[OH-] + kA(H-i + 1^)  =  In  2/kh          (6.27)


     From equations  (6.26)  and  (6.27),  it ±s clear  that when kg and/or kA / 0,
 k. will depend on pH.  From the autoprotolysis water equilibrium,


                              [H+][OH~]  = KW = lO-1*                     (6.28)


equation (6.26) may  be  rewritten

                                  **         4-
                                             H1 + k                     <6-29>
The contribution  of  each term to k^ will depend on the acidity (or pH)  of the
solution.  Three  regions may be defined:
                        .           p-.                          fc

       Acid         VH ]  *  kN + W] »  log \ = 10& RA + 10glH ]       (6'30)

                                                = Log k-A - pH

                    k K
       Base         -r- > k  + k[H+]  , .log k  = log k    ' Io8  ['H+J   (6.31)
                                                 - log kgKy + pH


        Neutral     kN > k  [H ] +  ,•„+,'  , log kh  = log k^"                 (6.32)


 These expressions assume that the catalyzed processes are'first "order  in  [fl ']
 or IOH~].  Such behavior is almost always  tlie case  in the  range of  pH  :2'to 12
 and frequently extends to  greater extremes.

      The dependence of kh  on the pH of  the solution  is conveniently shown by a
 plot of log kh as a function of pH. (Figure 6.1).  From 'expressions  (6.30) ','
 (6.31), and (6.32), it is  seen that;in  tfie pH range where  the  base-catalyzed
 process is dominant, a slope of +1 is"found; a  slope of -1  is  found in 'the
 acid-catalyzed region.  The neutral hydrolysis "is pH independent-~andr"shoiws 'a
 slope of zero.

      The present knowledge of the thoretical and experimental  aspects  of  hy-
 drolysis reactions makes laboratory studies of  hydrolysis  rates iiseful'-fbr en-


                                        52

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               (at  log kh • log kA - pH
(c)   log kh = log kgKw + pH
                                             pH
                                                                                 TA-327522-29R1
FIGURE 6.1. pH DEPENDENCE OF kh FOR  HYDROLYSIS BY ACID. WATER. AND BASE-PROMOTED PROCESSES

-------
vironmental assessments.   Precautions must be  taken, however, to ensure  that
experimental artifacts  are not  introduced into the kinetic data.  For example,
the use of buffer salts to nui1nt
-------
Since the actual values of Eh range from 15 to 28 kcal mole'1 (factors of l.B
to 3), the extrapolated rate constants are only semlquantltatively correct.

     Hydrolysis data can be used In environmental assessments at selected pHs
and temperatures with considerable confidence, provided the chemical Is dis-
solved In the water rather than suspended or emulsified.  Although catalyses
of hydrolysis by metal Ions and nucleophiles are known, the concentration of
such catalytic substances in the water column are so low that the rates of
these catalyzed hydrolyses are insignificant con pared with rates of the neu-
tral and H+ and OH~ catalyzed processes.  Moreover, the concentrations of the
active metal ions or nucleophiles available for reaction may be lower yet, due
to complexation and association with natural substances present in natural
waters.  It is the availability of the catalytically active form and not the
mere presence of the species that would result in any contribution to the hy-
drolysis rate of a substrate.
                                      55

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                                7.  BIODEGRADATION


 7.1  BACKGROUND

      The techniques used in evaluating the biodegradability of organic sub-
 strates have varied extensively, and it is doubtful that any one procedure can
 be used to indicate susceptibilities to biodegradation in aquatic or soil en-
 vironments.   The phenomena are too complex and varied with some of the sub-
 strates that are difficult to degrade.   Alexander (1965) introduced the term
 "recalcitrance" to define the characteristic of a compound that resists micro-
 bial biodegradation and presented some explanations of this microblal falli-
 bility.  There has been much research,  elucidation of metabolic pathways, and
 theorizing on characteristics that are involved in biodegradation or recal-
 citrance of organic products.  An additional complexity is that some readily
 biodegradable substrates can resist biodegradation when small quantities are
 strongly sorbed on soil or clay particles, particularly if these substrates
 are deposited or. sorbed in locales or microenvironments into which micro-
 organisms cannot penetrate.

      Microorganisms are highly susceptible to frequent enzymatic reorient'ation
 in response  to environmental change or  alteration in substrate availability.
 Since the discovery of plasmids, many microbial degradations have been attri-
 buted to enzyme systems synthesized by  these DNA particles.   The phenomena  of
 repression,  derepression,  induction or  enrichment by analogs, and availability
 or lack of availability of other substrates and nutrients play important  and
 differing roles with various culture-substrate combinations.

      The phenomenon of cooxidation or cometabollsm can also  be very important
 in blodegradations.   This  involves the  metabolism of a nongrowth-promoting
 substrate only when it is  present with  a  growth-promoting substrate.   Interpre-
 tations of these terms have  been broadened to include growth-promoting- sub-
 strates that  do not necessarily have chemical structures  very close to the
 substrate under study.   In nature, organisms are exposed  to  a large variety
 of chemicals,  and  cometabollsm can be very important.

      Techniques frequently used in biodegradation studies Involve pure cultures
obtained  from  random isolations,  culture collections, or  enrichment cultures.
Enrichment cultures are frequently mixtures of organisms  that are developed
by adding and  incubating a water,  soil, compost, or other natural substance
In a medium initially or finally  containing the substrate under study as1 the
sole carbon source.  In nature, of course, constantly changing mixed culture
systems are Invariably involved.
                                       56

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     Analog enrichment or induction refinements involve the addition of more
readily metabolizable compounds, chemically related to the enrichment substrates.
If metabolism of the substrate depends on the presence of the analog, a cometa-
bollc process is generally involved.  However, in some cases the added chemical
functions as a hydrogen or oxygen donor, or as an organic carbon substrate.
Examples of the former are some dehalogenations or reductions of nitro groups.
Under anaerobic conditions, it is not unusual to isolate systems that can
reduce nitro groups or halogenate organic compounds.  Another type of complex
biodegradatlon is  the metabolism of hydrocarbons by sulfate-reducing organisms.
These conditions are not analog enrichment processes, but depend on the presence
of a biologically  reducible inorganic substrate and hydrogen donor organic com-
pounds.  These organic compounds are eventually converted to products that may
be assimilated for microbial growth.

     Not to be overlooked are the phytoplankton and protozoa that may be involved
in environmental metabolism, but have received less research attention because
of their complexities.

     Most of our current knowledge of metabolic mechanisms has been derived with
pure cultures and  their mutants under growth conditions, as resting cells, or
with their enzyme preparations.  Mixed culture systems present complications in
maintenance of their component character because of varying growth rates and a
host of antagonistic and synergistic relationships.  Included in these complex
phenomena are high biosorptive characteristics for some substrates.  Under these
conditions, the "available" concentrations of substrates may be reduced to such
a degree that organisms capable of metabolizing a substrate do not have suffi-
cient organic carbon available for growth before they die.

     In natural waters, there are normally many types of microorganisms and these
may vary with the water body, season, and organic substrates being Introduced.
The studies described in this report were designed to reflect many of these
factors.  In the screening studies,  we attempted to obtain biodegrading systems
by enrichment  procedures.   If we obtained one or more biodegrading systems,
detailed studies were conducted to determine the biodegradation rate character-
istics of one of these systems.  The specific procedures used are described
in Sections 7.2 and 7.3.   Isolation and identification of major biodegradation
metabolites are described in Section 7.4.
 7.2   DEVELOPMENT  OF  ENRICHMENT  CULTURES

      The objective of  the biodegradation  studies  was  to  develop  a  rapid  inex-
 pensive experimental approach that would  approximate  natural  conditions  if
 selected compounds were Introduced into freshwater  environments.   Under  the
 provisions of  the contract,  the enrichment  studies  Included:

        Enrichment techniques under aerobic conditions.

      •  Enrichment studies to be completed  within six weeks.  Within  this
        period, subtransfers were made to develop enrichment  culture  systems
        that could utilize selected substrates as the sole carbon  sources.
                                      57

-------
     •  The use of a biodegrading enrichment system in kinetic and metabolite
        studies without isolation of a pure culture that utilizes the" substrate.
        Identification of major metabolites.

 If an enrichment culture that could degrade the substrate as a sole carbon
 source was not developed within six weeks, no metabolite or kinetic studies
 were carried out.

      It is understandable that any  isolation procedure,  whether it  is  an enrich-
 ment procedure or the isolation of  single colonies from natural habitats, favors
 isolation of certain types of organisms  and does not  express the total micro-
 bial potential or populations in the natural habitat.   Enrichment procedures
 such as those that were used in this work favor specific types of microbial
 populations,  and many types of organisms that are present in the environmental
 sample cannot survive the competitive aspects of the  process.

      The principa'l natural aquatic  reservoirs used as representative sources
 for  cultures  were:

         A eutrophic pond  near Searsville Lake in Woodside,  California.
         Coyote Creek,  a eutrophic stream in San Jose,  California.

         Aeration effluent from the  Palo  Alto,  California,  sewage treatment
         facility.   The organic matter treated is primarily  of  domestic origin.
                                                                       *
         Aeration effluent from the  South San Francisco treatment plant.   Approx-
         imately 45% of the biological loading in this facility is of miscellan-
         eous  industrial origin.

         Aeration-effluent from the  treatment plant in the Shell Oil  Refinery,
        Martinez,  California.   This  plant treats wastes  that could have  a great
         similarity to  those that  might be expected from  a  coal liquefaction
         plant.

         Aeration effluent from the  sewage plant  of the Monsanto Chemical  Company
         installation  in Anniston, Alabama,  where parathion  and methyl parathion
        are produced.

         Lake  Tahoe,  California, a large,  deep,  cold oligotrophic lake  between
         California and  Nevada.

     Water samples were settled for approximately one hour and  the super-
natants were  screened  through  fine-mesh polyester  cloth.  Four  volumes of
water sample were  added to  one volume of  sterile 0.05% NmNOs  or (NHh)2SOfc
and 1.0% KHaPO^/KaHPO,.  solution.  This salt solution was added  to provide
adequate nitrogen  and  to  buffer the fermentation at pH 7.0.

     In our enrichment  procedures we  used 4-liter  water  samples  in a final
5-liter volume  in  the  9-liter  bottle  fermentors  because we  felt  that large
samplings  could  facilitate  the development  of biodegrading  systems.  The  ad-
vantages of large  volume  samplings over  traditional small samples became
apparent in four experiments when 50-ml aliquots were also  incubated in  250-ml
shaker flasks  in rotary shakers.  This concept was supported by  one  experiment
with p-cresol and  three experiments with  methyl  parathion as substrates.   In

                                      58

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 these experiments, biodegrading  systems were  more  rapidly  developed in the  9-
 liter bottle  fermentors.  Dagley (1976) expressed  his view that,  in enrichment
 studies,  samples may be generally  too  small.

      The  9-liter bottles with  the  1-liter  of  additive solutions were sterilized
 by  autoclaving, 4-liter water  samples  were added,  and then sterilized fittings
 were  introduced into the 9-liter fermentors.   These  fittings  included facilities
 for the introduction of sterile  air  through ceramic  diffusers at  the bottoms
 of  the bottles, sampling ports,  addition and  pressure relief  ports, and  air
 exhausts  through sterilizing filters.  Inlet  air was first humidified and par-
 tially sterilized by bubbling  through  1% t^PO^ and then sterilized by passage
 through pyrex glass wool packed  filters.   Incubation was at 25°C.   Lake  Tahoe
 water samples were transported in  ice-water baths  and incubated at 15°C.  Fermen-
 tors  were shaken several times daily because  the equivalent of 0.1 volume of air
 per minute was not adequate to maintain total suspension of some  samples.

      Occasionally, when it was apparent from  previous studies with other water
 samples that  enrichment cultures could be  readily  obtained, the first step  of
 the enrichment process was conducted in cotton-plugged 2.6-liter  Fernbach flasks
 containing 1.2 liters of 4:5 diluted water sample  with proportional amounts of
 buffer and NH^ salts.  Adding the substrate  as a  powder might have introduced
 microorganisms and presented problems  in obtaining fine suspensions.   If the
 substrate had been added in a solution of  a metabolizable  solvent,  additional
 carbon source would have been added.   Preliminary studies indicated that
 dimethyl  sulfoxide (DMSO) was not digested or inhibitory under aerobic conditions
 and that  the  concentrated DMSO solutions were self-sterilizing.   Consequently,
 it was frequently convenient to add  the substrate  in a DMSO solution to obtain
 either a  fine suspension or a solution of  substrate  in water.

      In some  of our enrichments, compounds with structures similar  to the test
chemicals were used in anticipation that they may be inducers of desired
enzymes.

      When possible, a rapid uv absorption  assay, verified  by  gc or hplc, was
 used  to monitor the breakdown of the test  compound.  In other cases, gc or  hplc
 was used  alone.  When degradation was  apparent, 2.5-ml aliquots from the 9-liter
 bottle fermentors or the Fernbach  flasks were transferred  to  250-ml Erlenmeyer
 shaker flasks containing SO ml of basal salts medium at the original level, a
 twofold or threefold increased level of compound,  with or  without  other nutrients
 including 50  pg ml"1 glucose with 10 ug ml~^  Difco Bacto yeast extract or with
 peptone.  When degradation of a  test substrate was nearly  complete,  successive
 transfers  (1% to 2% by vol) were made  to basal salts media with the same and
 higher (i.e.,  two levels) concentrations of substrate and  lower amounts of  other
 carbon nutrients.   Eventually, no other added carbon source was used.

      Each liter of basal salts medium contained:   1.4 g l^HPO^, 0.6  g KH2P04,
0.5 g  (NH4)2S04, 0.1 g NaCl, 0.1 g MgS04-7H20, 0.02  g CaCl2-2H2O, 0.005 g
FeSOv7H20, and 1 ml of trace elements solution.   The trace elements  solution
contained 0.1 g H9BO,,  0.05 g each of CuSO*-511,0.  MnSO«-H,0, ZnSO«-7H,0,
Na2Mo04,  and CoCl2-6H20 liter'1.
                                      59

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     Even after 10 to 15 serial transfers, the enrichment culture systems were
usually mixtures of organisms.  They were centrifuged and then suspended in
sterile 5% DMSO-H20 for 30 minutes; aliquots were preserved by freezing and
storing them in the vapor phase of a liquid nitrogen storage tank.
 7.3   BIODEGRADATION RATES

      Once a biodegrading system was developed for a specific substrate,  kinetic
 rate constants were determined so that a quantitative comparison might be made
 between the different pathways governing loss of a specific pollutant  in aquatic
 environments.   Four procedures for measuring kinetics were investigated  and
 used with these mixed culture systems and with the substrate serving as  the
 sole carbon source:

         Batch fermentations with low-level inocula of washed biodegrading cells

         Continous chemostat fermentations

         Cascade batch fermentation
         Batch fermentations with large microbial populations and low substrate
         levels.

      Classical kinetic expressions were applied to the laboratory data to
 describe the rate of growth of an organism and utilization of a substrate
 when it was the growth-rate-limiting carbon source.  These procedures were
 used successfully to obtain biodegradatlon rate constants, which were  used
 in our environmental assessment models to compare the importance of bio-
 degradation with the other transport and transformation pathways.

      The Monod kinetic equations (Monod, 1949;  Stumm-Zollinger and Harris, 1971),
 can  be expressed as

                               U S
                                                                         (7.1)
                             (K  + S)
                               S
  dS   ji
-    =
                                  I'm     SX       .      SX
                                  Y~  (K +  S)    T»  (K  +
                                       s             s
                        4* = WX                                          (7-3)
                        dt
  where S is the concentration of substrate, u is the specific growth rate,
  is the maximum growth rate, Y is the cell yield, X is the biomass per unit
                                       60

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 volume, and Ks is the concentration of substrate supporting a half-maximum
 growth rate (0.5um).   The utilization rate constant, kj,, is conventionally
 defined as

                                     "b = T                             <7-<>


 It is implicit in these kinetic analyses that um,  Kg, and Y are constants.

      The similarity of equation (7.2) to the Michaelis-Menton (1913) equation
                                            m
 for the enzymatic decomposition of a substrate is apparent.  In this equation,
 E0 is the maximum concentration of available enzyme, and H^ is the substrate
 concentration that produces half the maximum enzymatic velocity.  In cellular
 metabolism,  a much more complex situation exists.

      Although Monod kinetics are based on the use of a pure culture and the rate
 of disappearance  of a growth-rate limiting single substrate, these kinetic
 expressions  can be used to obtain useful rate constants with mixed culture
 systems.   These rate constants can be derived by various procedures in which
 there are specific limitations regarding relative values of X, Y, S, and Ks.
 In the following  paragraphs, the various limits of the Monod expressions that
 must be built into the experimental plan will be examined in order to obtain
 simple relationships between the experimental variables X, S,  and t.

      For  many of  the more  common substrates,  Ks is on  the order of 10"1 ug ml'1
 (Pirt,  1975),  and this,  in general, is considerably  higher than the concentration
 that would be expected for chemicals in natural waters.  If


                                     SQ « K8                            (7.6)

 equation  (7.2)  reduces  to
where k. _ is a second-order rate constant equal to
                                                                         (7.8)



and the disappearance in substrate is first order in both X and S.


                                      61

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     In batch fermentations with  low-levels of  inocula,  the  initial  conditions
were chosen so that

                                   X   « YS                             (7.9)
                                    o

With a small inoculum, there  is generally a lag phase of growth  to a biomass
concentration that may be designated as Xa, and then a logarithmic or  e.xpo-
nential phase of growth develops.  During this  rapid growth  phase, So  does not
change significantly and the  biomass concentration X at  time t in this phase
may be expressed as


                               In X =  pt +  In XQ                         (7.10)


If In X data obtained during  this period are plotted against  t,  then u  is the
slope of the line.  A small inoculum facilitates a longer exponential  phase
of growth and facilitates a more  accurate calculation of p.   This is particu-
larly the situation during the early exponential phase when  S has not  changed
significantly and there is less complication due to metabolites.  These batch
fermentations were conducted  with different SQ  values, and p was determined
for each value of S .
                   o
     These p values and  the  corresponding SQ values were  used to  calculate Ks
and um.  Inverting equation  (7.1) and  multiplying by  Soresults  in the  following
equation:

                                  S    K   S
                                  .2 =  _s +  -°_                           (7.11)
 It becomes  apparent  that when SQ/VI is plotted versus  SQ,the slope of the line is
 l/pm  and  the  intercept on the S axis is -Ks.  This procedure was used by
 Lineweaver  and  Burk  (1934)  to determine K,,, and Eo in the Michaelis-Menton
 equation  (7.5).   In  most instances,  by using the S and p data from batch fermen-
 tations with  low-level inocula, it was possible to obtain Ks and pD values,  and
 then  to calculate k^ and V.^2 using equations (7.4) and (7.8).
      In some cases,  there were significant increases in biomass concentrations
 (X)  before utilization of substrate was initiated and other kinetic
 analyses were used.   Equation (7.2) was integrated by Stratton and McCarty
 (1967)  and it can be written as
                                                      7 lnXo
                                        ' -
                                      62

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If the Initial experimental conditions were
then
                                    X   «  YS                           (7.9)
                                     o        o
                                    X   «  YAS                          <7-13>
                                     o
                                     K
                                      3      s 0                          (7.1*)
                                   X  -t- ITS
                                    o     o
and equation (7.12) reduced to
                         -     In YAS -I-    In X  =  - -   t                  (7.15)
or


                              In AS = v  t +  In|   ol                     (7.16)
                                       m      I "y" I


A plot of In AS versus t should be a straight line with a slope  um and an intercept
(at t = 0) of ln(Xo/Y).  This behavior was observed in the batch fermentations
with low-level inocula.

     The value of Y can be calculated since


                                Y-T*--*	1                          (7-17)
However , this procedure did not provide a value for Kg  to  calculate k^2  by
equation (7.8).  Stratton and McCarty (1969) developed  a graphical procedure
that can be used to determine Ks in batch degradations.  This procedure  depends
on determining the tine periods when, there ate equal utilizations or degradations
of substrate (AS), with different So levels.  Their equation  (6) is


                                  dS /dt - dS I At

                     K
                            KdSm/dt)/SmJ - [(dSn/dt)/SnJ
where Sm and Sn are the concentrations of substrate present at  times when  AS
values were equal for two fermentations with different levels of substrate.   The
slopes of the S versus t curves at these times correspond to the dSn/dt and
dSm/dt values.  This procedure was used to determine KS in some batch degradations
                                       63

-------
with low-level  inocula and when  it was more  convenient  to determine  the  time
periods  necessary  for equal  utilizations of  substrates.  By  these methods, values
for urn,  Y, and  Kg  were calculated from batch fermentations using low-level
Inocula.

     In  continuous  fermentations  conducted in chemostats. when equilibrium was
established,  the dilution rate or (residence time)"1 was equivalent  to p at
the concentrations  of substrates  present in  the chemostats or in the overflow
from the chemostats.  If the dilution rates  were  changed and equilibria were
established,  new u  and S values were obtained.  The values of Kg and pm were
calculated by the  Lineweaver-Burk plot   procedure using equation. (7.11) -.  Then
kD and kb2 were calculated using  equations (7.4)  and (7.8).

     In  the cascade fermentations, low levels of  inocula and relatively high So
levels were used.   Equations (7.16) and  (7.17) were used to calculate kD values,
and Ks values from other procedures to convert kb to kD2-  In this procedure,
there was no  culture selection as occurs in  sequential  transfers of  enrichment
systems  on substrate/basal salts  media.

     Batch fermentations with large microbial populations and low substrate
levels were observed to be pseudo-first-order reactions with respect to  S (plots
of Ins versus t were linear  for  each case tested).  In  these fermentations, the
microbial populations would  not  change significantly If all  the  substrate were
utilized for  growth purposes.  This is a particularly useful procedure with sub-
strates  that  have  low solubilities and/or critical limitations in analyses.

     The experimental data obtained under these conditions can be  described
by the equation (7.19)
where kD is a pseudo-first-order rate constant.  A choice of different XQ '
would give a different value of kb.  Based on equation  (7.7), which is



                                f-k^XS                              (7.7)


kb2 can be calculated from kb and Xj, by equation (7.20)  (assuming X<, is a con-
stant)



                                                                        (7'20)

Note that the values of um, Y, and K8 cannot be determined by this procedure,
but in fact they are not required since equation (7.7) is a satisfactory rate
expressions for biodegradatlon in natural waters.
                                      64

-------
     The procedures used in the laboratory techniques were carried out in the
following ways.

     Batch fermentations with low-level inocula were conducted in shaker flasks
Incubated at 25°C in rotary shakers.  The enrichment culture systems were grown
on substrate/basal salts media or substrate in 0.1 strength nutrient broth (Difco).
The cells were removed by centrifugation, washed three times with 0.05% potassium
phosphate buffer at pH 7, and rested in buffer for 2 to IB hours at room temper-
ature.  These cells were then added at appropriate levels to sterile substrate/
basal salts medium.  In some experiments, several lots of inoculated media were
prepared with different concentrations of substrate; 800-tnl volumes of inoculat-
ed media were incubated in 2-liter Erlenmeyer flasks.  During the fermentation,
duplicate samples were removed from these shaker-incubated flasks for analyses.

     Continuous chemostat fermentations were conducted in 350-ml working volume
New Brunswick chemostats.  Inocula in the exponential phase, grown in shaker
flasks containing substrate/basal salts media, were transferred to sterile
chemostats containing substrate/basal salts media to bring the liquid volumes
to capacity.  Fermentations in the chemostats were initiated with aeration (350
ml air min"1), stirring, temperature control, and continuous feed of substrate/
basal salts medium.  Initially, feed rates were very slow to prevent washout of
cells.  The feed media were at higher concentrations of substrates in basal
salts medium than the concentrations anticipated in the chemostat.  These feed
media were introduced into the chemostats at different rates until equilibria
were established.  At equilibrium, the samples from the overflow had reached
a steady state with respect to substrate and biomass concentrations.  Because
there were, at times, attachments of mlcrobial cells to the wall and other parts
of the chemostats (aerator, sampling tube, temperature control units, and
stirrers), chemostats were thoroughly shaken and contents were transferred once
or twice daily to other similar chemostats.

     Cascade batch fermentations were initiated with freshly developed degrading
systems from eutrophic waters.  When Che substrates were almost totally degraded
in the original 9-liter bottle fermentors, small aliquots from these fermentors
were transferred to 250- or 500-ml Erlenmeyer flasks containing fresh water
samples (from the same sources), NH4+ salt, buffer, and substrates.  These
flasks were incubated at 25°C in shakers.  Cell counts and substrate levels were
monitored.  Sequential transfers were made daily to new flasks containing fresh
water samples, salts, and substrate.  In this procedure it was difficult to
determine the volume of inoculum needed for the sequential transfers to develop
essentially total decomposition of substrate in 24 hours, and it was difficult
to follow cell counts at critical times in the fermentations.

     Batch fermentations with large microbial populations and low substrate levels
were conducted with cells grown on substrate/basal salts media.  The fermentations
producing the inocula were monitored for substrates to be certain that the
substrates were consumed.  In each case, several shaker flasks had to be used
to produce sufficient cells, and these organisms were undoubtedly in the late
exponential or early stationary phase.  Cells were separated by centrifuging at
room temperature and high speeds, resuspended in basal salts medium, and centri-
fuged.  They were resuspended In basal salts medium and incubated at 25°C in a
shaker flask for 4 hours, centrifuged, and again resuspended in basal salts


                                     65

-------
medium.  The optical densities of  these cell suspensions were used as guides for
the dilutions to be used in  the kinetic studies.  Appropriate aliquots were
added to substrate/basal salts media.  The relative quantities of cells and
substrate were such that if  all the substrate  was  utilized, there would be
insignificant increases in cell mass.  The inoculated media were vigorously
stirred at 25°C in siliconized tissue culture  spinner flasks.  Cell counts and
substrate levels were determined at short time intervals.

     Each of the kinetic evaluations by the above four procedures has its" par-
ticular advantages and shortcomings when mixed culture systems are used to
develop rate constants.  The batch fermentations with large microbial popula-
tions require the least time and for this reason avoid the' relative changes of
individual microbial components from the initiation of the experiment.  However,
they cannot reflect on the character of the culture mixture several transfers
prior to the kinetic study.  This  is also the procedure most-adaptable to1
fermentations with very low  substrate levels in which changes in biomass 'Con-
centrations may be difficult to follow by other methods.

     The cascade batch fermentation represents a procedure most similar to that
existing in nature.  In this procedure, the biodegrading cultures were returned
to an environment that contained all types of predator-prey relationships orig-
inally present in the water  source (assuming that daily water samplings were
similar).  There is a problem in maintaining a supply of unchanged inflow'water
sample and selecting inoculum levels.  If realistic low levels of substrate
are used, it would be virtually impossible to determine the biomass attributed
to the metabolism of the compound.

     Even if the enrichment mixed culture system consisted of only primary
utilizers of the pollutant being evaluated, the batch fermentations with low-
level inoculations or continuous fermentations in chemostats* could suffer from
changes in relative components in the culture mixture during the course of  the
experiments.  Also, in both  these procedures, with realistic low levels of  sub-
strate, the biomass' determinations as discussed by Pirt (1975) would be subject
to considerable error.  Cell counts appeared to be the best alternative.   In
the continuous culture procedure, the solubility of the compound in the feed
stock must be sufficient for the dilution it is subject to on addition to the
fermentation vessel.

     In continuous fermentations at high feed-rates, some metabolites thdt are
utilized at slower'feed-rates may  be lost from the fermentors and thus
-------
containing a mixture of digestible carbon substrates, and this was  another reason
for using cell counts as indices of biomass.
7.4  ISOLATION AND IDENTIFICATION OF MAJOR BIODEGRADATION METABOLITES

     During the course of uv, gc, or hplc analyses of extracts from biodegra-
dation studies, there was constant surveillance for evidence of metabolites.
Most extractions were conducted under acidic or neutral conditions, and the
types of major metabolites expected would have been acidic or neutral and
extracted with our solvents.  When nitrogen heterocyclic substrates were used,
some extractions were made under slightly alkaline and neutral  conditions.

     If there was evidence for metabolites, mass spectometric analyses were
applied to the gc or hplc fractions containing the products.  When possible,
these spectra were compared with those of authentic reference samples of the
anticipated metabolites to positively establish  their structures.
                                      67

-------
                                8.  REFERENCES


Acree, P., M. Beroza, and M. C. Bowman.  1963.  Codistillation of DDT with
     Water.  J. Agr. Food Chem.   11:278-280.

Alexander, M.  1965.  Biodegradation:  Problems of Molecular Recalcitrance and-
     Microbial Fallibility.  Adv. Appl. Mlcrobiol. 7:35-80.

Bailey, G. W., J. L. White, and T. Rothberg.  1968.  Adsorption of Organic
     Herbicides by Montmorillonites:  Role of pH and Chemical Character of
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Calvert, J. C., and J. N. Pitts,  Jr.  1966.  Photochemistry, John Wiley &
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Campbell, A. N.  1930.  An Apparatus  for the Determination of Solubility.  J.
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Dagley, S.  1976.  The Contribution of Microbial Metabolism to the Carbon
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     City, New Jersey, May 2-7.

Dal Nogare, S., and R. S. Juvet,  Jr.  1962.  Gas-Liquid Chromatography.
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Denisov, E. T.  19.74.  Liquid  Phase Reaction Rate Constants.  English
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Grenney, W. J., D. B. Porcella, and M. L. Cleave,  1976.  Water Quality Rela-
     tionships to'Flow-Streams and Estuaries.  In:  Methodologies for the De-
     termination of Stream Resource Flow Requirements:  An Assessment, C. B.
     Stalnaker and J. L. Arnette, eds.  Utah State University, Logan, Utah.

Hadden, N., F, Baumann, F. MacDonald,  M. Munk, R. Stevenson, D. Gere, F.
     Zamaroni, and R. Majors.  1971.  Basic  Liquid Chromatography.  Varian
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Hamaker, J. W., and J. M. Thompson.   1972.   Adsorption.  Chapter 2 In:  Organ-
     ic Chemicals in the Soil  Environment.   Vol. 1.  C.A.I. Goring and J. W.
     Hamaker, eds.  Marcel Dekker, Inc., New York.  pp. 49-143.

Haque , R. , and D. Schmedding.  1975.  A Method of Measuring the Water Solubil-
     ity of Hydrophobic Chemicals:  Solubility of Five Polychlorinated Bi-
     phenyls.  Bull. Environ.  Contarn. Toxicol. 14:13-18.


                                      68

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Hendry, D. G., T. Mill, L. Piszklewlcz, J. A. Howard, and H. K. Eigenoann.
     1974.  A Critical Review of H-Atom Transfer in the Liquid Phase:
     Chlorine Atom, Alkyl, Trlchloromethyl, Alkoxy, and Alkylperoxyl Radicals.
     J. Phya. Chem. Ref. Data 3:937-978.

Hesse, P. R.  1971.  A Textbook of Soil Chemical Analysis.  Chemical Publish-
     ing Company, Inc., New York.  Chapter 11.

Hill IV, J., et al.  1976.  Dynamic Behavior of Vinyl Chloride in Aquatic Eco-
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Isensee, A. R., P. C. Kearney, E. A. Woolsen, G. E. Jones, and U. P. Williams.
     1973.  Distribution of Alkyl Arsenicals in Model Ecosystems.  Environ.
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Kuznetsov, S. I.  1970.  The Hlcroflora of Lakes and Its Geochemical Activity.
     University of Texas, Austin, Texas.


Langbeln, V.  B., and W. H. Durum.  1967.  The Aeration Capacity of Streams.
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Leopold, L. B., M. G. Wolman, and J. P. Miller.  1964.  Fluvial Processes in
     Geomorphology.  W. A. Freeman and Company, San Francisco, California.
     522 pp.

Lineweaver, H. and D. Burk.  1934.  The Determination of Enzyme Dissociation
     Constants.  J. Amer. Chem. Soc.  56:658-666.

Mackay, D., and Y. Cohen.  1976.  Prediction of Volatilization Rate of Pollu-
     tants in Aqueous Systems.  Symposium on Nonbiological Transport and
     Transformation of Pollutants on Land and Water, Hay 11-13.  National
     Bureau of Standards, Gaithersburg, Maryland.

Mackay, D., and P. J. Leinonen.  1975.  Rate of Evaporation of Low Solubility
     Contaminants from Water Bodies to Atmosphere.  Environ. Sci. Tech. 9:
     1178-1180.

Mackay, D., and A. W. Wolkoff.  1973.  Rate of Evaporation of Low Solubility
     Contaminants from Water Bodies to the Atmosphere.  Environ. Sci. Tech.
     7:611-614.

Metcalf and Eddy, Inc. 1972.  Hastewater Engineeringi  Collection, Treatment,
     Disposal.  McGraw-Hill, Hew York, New York? p. 671.

Metcalf, R. L., G. K. Sangha, and I. P. Rapoor.  1971.  Model Ecosystem for
     the Evaluation of Pesticide Biodegradability  and Ecological Magnifica-
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Michaelis, L., and M. L. Menton.  1913.  Kinetics  of Invertase Action.  Bio-
     chem. Z.  49:333-369.
                                      69

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Hill, T., D. G. Hendry, W. R. Mabey, H. Richardson, B. Y. Lan, and A. Baraze.
     1977.  Oxidation of Organic Compounds In Dilute Aqueous Solution.
     Abstract.  173rd Meeting of the American Chemical Society* New Orleans,
     March 20-25.  PHYS. 222.

Moelwyn-Hughes, E. A.  1971.  The Chemical Statics and Kinetics of Solutions.
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     371-394.

Moses, F. G.,  R.S.H. Liu,  and B. M. Monroe.  1969.  The "Merry-Go-Round"
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Paris, D. F.,  D.  L. Lewis, J. T. Barnett, and G. C. Baughman.  1975.  Microbi-
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Pitts, J. N.,  Jr., J.K.S.  Wan, and E.  A. Schuck.  1964.  Photochemical Studies
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Stratton, F. E.,  and P. L. McCarty.  1969.  Graphical Evaluation of the Kinet-
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                                     70

-------
Tsivoglou, E. C.  1967.  Measurement of Stream Reaeration.  U.S. Department of
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                                       71

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            Appendix A


FLOW OF WATER AND SEDIMENTS BETWEEN
COMPARTMENTS IN THE COMPUTER MODEL
                72

-------
            TABLE A.I.   FLOW OF WATER AND SOLIDS BETWEEN
           	COMPARTMENTS IN THE POND MODEL	


                   Water compartment            Sollda compartment
       10                  1     	               7
From   >v         Water       Solids         Water       Solids
compartmenfcv     (m3hr *)     (kg hr *)     (m'hr *)     (kg hr l

     1                                         0.1         3.75

     7              0.1          3.75
                                 73

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TABLE A. 2.  FLOW OF WATER AND SOLIDS BETWEEN
\ T_ Water compartments
\T° 	 1 	 2 3
\ Water Solids Water Solids Water
From \
compartmenK (m'hr"1) (kg hr"1) (m'hr"1) (kg hr"1) (m'hr"1)
1 - - 1.01 x 10* 1.01 x 10' 0
200 - - 1-01 x 10*
300 0 0
7 4.0 1.08 x 10* 0 0 0
800 4.0 1.08 x 10* 0
900 0 0 4.0


Solids Water

-------
                                  Appendix B

          THEORY OF VOLATILIZATION OF ORGANIC SUBSTRATES FROM WATER


     The theory of volatilization of slightly soluble organic substances from
aqueous solutions and oxygen reaeration in water has been developed by several
authors.*  They assumed a two-film model in which the rates of diffusion in
air and in water control the rate of transfer of both oxygen and  the substrate
across the interface between air and water.  (Oxygen and the substrate are
represented by the superscripts 0 and S, respectively, in the equations in
this appendix.)

     Figure B.I Illustrates the major features of the two-film model of mass
transfer.  The water phase is assumed to be well-mixed so that any volatile
component is at a uniform concentration €5, except in the vicinity of the in-
terface.  A stagnant liquid film or concentration boundary layer  of thickness
6L separates the bulk of the water phase from the actual interface.  Since
turbulence levels in this film are low, any movement of a volatile component
through this film is due to diffusion alone.  The concentration of a volatil-
izing component decreases across this film from the bulk concentration C§ to
the interface concentration Cgi.  This concentration decrease is  the driving
force for mass transport.

     On the air side of the interface is a stagnant gas film or concentration
boundary layer of thickness of 6g, where diffusion is again the only mass
transport mechanism.  The partial  pressure Pgi on the air side of the inter-
face is related to the molar concentration [S^] on the water side of the
interface by Henry's law:



                             PSi = VSi] " HxSi                         
-------
AIR/WATER



UJ
oc
3
UJ
oc
0.
p
oc

Q.
oc
o
z
g
oc
L_
CONCEN'

INTEF
WATER
DIFFUSION
TRANSPORT "



CONVECTIVE TRANSPORT









STAGNANT LIQUID FILM
(CONCENTRATION ^
BOUNDARY LAYER)

\

^.
>NV





i


>w

x
>
CS.
S
« & •.
^•- ?,L *
IFACE


S
,S


PSi
S^
\
NV
X.






^
m ft »
* °G ^
AIR
DIFFUSION
'TRANSPORT



CONVECTIVE TRANSPORT






PS


STAGNANT GAS FILM
„ (CONCENTRATION BOUNDARY
LAYER)

                                 DISTANCE
                                                                       S A-4396*65
FIGURE B.I.
SCHEMATIC OF THE TWOrFILM MODEL OF VOLATILIZATION FROM THE SURFACE
OF WATER  BODIES

-------
If we denote the rate at which substrate is being transported across these
films by Ng, in moles dm'3 hi-1, then


                        Ng = Kj([S] - [St]) liquid film                  (B.3)
                        Ns a R'SI ' Ps) gas £iln                       (B<4)
Combining equations (B.I), (B.3), and (B.4).we obtain:
where:

     kv     Overall mass transfer coefficient (hr~*)
     A      Interfacial area (dm*)
     V      Liquid volume (dm3)
     D    •  Molecular diffusion coefficient (dm* hr~l)
     Hc     Henry's law constant (torr M"1)
     KL     Liquid film mass transfer coefficient (dm hr~l)
     K_     Gas film mass transfer coefficient (dm hr~l)
     R      Gas constant
     T      Temperature (*K)

A similar equation can be written for oxygen transport.

                                                -1
                                                                         (B.6)
     In a liquid with dilute concentration of oxygen or substrate and when the
amount of material being transferred across the interface into air is small,
the two-film model assumes that


                                   Ki -T-                               (B'7)
                                    L   5L

where D is the diffusion coefficient of oxygen or substrate in water and 6* is
the thickness of the mass transfer film or boundary layer on  the liquid side
                                       77

-------
of the interface.  This relation  develops as a  simplification  of  Pick's law of
diffusion.  In a similar manner,  it  can be .shown  that


                                   K_  - f-                                ft.*)
                                     G   6fc

where 6G  is the  thickness  of a mass  transfer  film on the gas side of the gas-
liquid interface and  D Is  the diffusion coefficient of oxygen or substrate in
air.  High turbulence in  the liquid  causes  6L  to  be thin, and similarly,^high
turbulence in  the  gas phase causes 6.  to  be thin.

     The  kv'  data  cited'in TabTe  5. '2 for'most  natural  water bodies'show that
the ky* values  are  less than about 0.03 hr~'.   Therefore, the mixing levels are
such'that liquid film resistance  controls the  volatilization Irate (Rg is very
large).   Under these  conditions,  equations  (B.5) 'and (B.6) reduce to the form
and, therefore
                                            g
                                          ^r                             (B.10)
It has been shown   that,  if  the  molecules  are  spherical,  molecular diffusion
coefficients in solution  are Inversely  proportional  to molecular diameters,
so that

                                  k
                                  v
       0                                        S
where d  is the molecular diameter of  Oa ,  and  d  is  the molecular diameter of
the substrate.  Equation (B.ll)  has been  tested and  validated  for mixtures of
 E. C.  Tsiypglou,  "Tracer'Measurements, of,fAtmospheric. Reaera,tjpn7l,i  .Labora-
 tory  Studies," J-.  Waiter-Pollution Cpntrpl^Federat^on^^yrrSiiS-ljeZ' (19J55).
                                      78

-------
radon/oxygen,  krypton/oxygen,  C0a/oxygen,  and N2/oxygen.   For example,
Tsivoglou showed Chat
                       kKr
                       -2— = 1.22 + 0.06 experimentally                 (B.12)
                       k°
                        v

                           =1.25        theoretically


over a range of k  from 0 to 0.6 hr~ .

     At high levels of liquid turbulence, 6L becomes very small and as a
consequence KL becomes very large and the gas phase resistance becomes the
rate-controlling step.  Based on the findings of Tsivoglou, this occurs when
k$ » 0.6 hr'1, although the actual point where the transition occurs is un-
known.  When gas phase resistance is rate controlling, equation (B.9) becomes
                                               VRT
                                \  ^i,/

and

                                 Sec     c c     c
                          u     nav     u*v     H n
                          S   _Vc   JlJfc   JJi                    (B<14)
                          U°    H°V°    H°If°    H°n
                          kv     cG    H KG    H D0

where here D refers to the diffusion coefficient In air.  If It is assumed
that the diffusion coefficients are still Inversely proportional to the mole-
cular diameters
                                                                        (B.15)
there is also a transition region where both liquid phase resistance and gas
phase resistance control the transport rate.  In this transition region, the
ratio kS/fcO must be expressed as the ratio of equations (B.5) and (B.6), and
does not reduce to a simple form.

     If data on the diffusion coefficients or molecular diameter for the sub-
strate are not available, molecular diameters can be estimated from the
                                      79

-------
critical volume (Vc), which is a commonly tabulated physical constant.*  If
the critical volume cannot be found, a volume for a closely related compound
can be used.  The critical volume is two or three times the molecular volume.'''
From the molecular volume, the molecular diameter can be calculated by assum-
ing that the molecule is spherical:



                                *£ • IS « Iff                          «•">

                                                            0         9
where N is Avogadro's number.  A widely accepted value for d  is 2.98 A.

     Values for the Henry's law constant can be estimated from solubility and
vapor pressure following the procedure of Mackay and Wolkoff.*  Based on
thermodynamic principles, they determined that

                                    S   PS
                                   «c " I"                             
                                         wo
       5
where P  is the substrate vapor pressure in pure form and Swo is its
solubility in water.  If data for the substrate are not available, data for a
related compound can be used.
 One source is the American Chemical Society Advances in Chemistry Series,
 Vol. 15  (1955).

 R. D. Present, Kinetic Theory of Gases (McGraw-Hill, New York, 1958).

 D. Mackay and A.  V. Wolkoff, "Rate of Evaporation of Low Solubility Con-
 taminates from Water Bodies to the Atmosphere," Environ. Scl.  Tech. 7:611-
 614 (1973).
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