United States
           Environmental Protection
           Agency
     r1
Office of Water
Regulations and Standards (WH-553)
Washington DC 20460
1961
Final Draft Report
           Water
EPA     Prediction  of
           Chemical  Partitioning
           in the Environment
           An Assessment of
           Two Screening  Models
            V
          rfhis document nas not been peer and
          'administratively reviewed within EPA
          'and is for i
          distril
                'I
                       Signature and Date
                U.S. Environmental Preterit ion i-.£:}>iv?
                .C-ISSAiT/,  PM-S13, Roocaj 2'iW
                4•:.'?- ;.; su*»ot7 s.w.
                gj'ashj.ngtcn, DC £0490	S'CC? 460
                                    855-0308

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                                     DISCLAIMER
This is a contractor's final draft  report, which has been reviewed by the Monitoring and Data
Support Division, U.S. EPA. The  contents do not necessarily reflect the views and policies of the
U.S. Environmental Protection Agency, nor does mention of trade names or commercial products
constitute endorsement or recommendation  for use.

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PREDICTION OF CHEMICAL PARTITIONING IN THE ENVIRONMENT


       An Assessment of Two Screening Models
                FINAL DRAFT REPORT


                     .   by



                  Warren J. Lyraan

              Arthur D. Little, Inc.



                      for the
       U.S. Environmental Protection Agency

     Office of Water Regulations and Standards

      •Monitoring and Data Support Division

              Washington, D.C.  20460



          Task Manager:  Charles Delos

          Project Officer:  Michael Slimak



          Contract No. 68-01-5949, Task 2



                     May 1981


         U.S. Environmental Protection Agency
         LIBRARY, FM-213,  Rooom 2404
         401 M Street, S.W.
         Washington,  DG 2Q46Q        STOP 460
         202-755-0308                655^0308

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                           1     FOREWORD
          • .  *              ';                       !
     Effective regulatory action for toxic-chemicals requires an under-
             -.      .•   •     C
standing of the human and environmental risks associated with the manu-
facture, use, and disposal of the chemical.  Determining the origins of
risks requires an understanding of the behavior the chemical in tra-
versing the environment.  Such behavior includes the chemical's tendency
to undergo biological or chemical degradation, and its tendency to par-
tition between phases.

     The intent of this work was to explore facile, methods for predicting
the partitioning between air; water, soil, sediment, and biota, under
             -"*'•''
both equilibrium and steady state (nonequilibriura) conditions.  As per-
formed for the 114 organic compounds on the EPA water programs list of
129 priority :pollutants, partitioning estimates can suggest the environ-
mental mediaimost subject to contamination by each compound, and thereby
assist in guiding investigative and ^analytical efforts into productive
directions.

                           Charles G. Delos, Task Manager
          .   -              Water Quality Analysis Branch
                           Monitoring and Data Support Division (WH-553)
                     ;      .Office of Water Regulations and Standards
                                    ii

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                               ABSTRACT

     This report provides an assessment of two screening models that
may be used to predict environmental partitioning, and the importance of
certain degradation and transport pathways, for organic chemicals.  These
models may play an important role in environmental fate assessments, in
the initial steps of risk assessments for new or existing chemicals,
and in the planning of laboratory and field tests with such chemicals.

   The models studies were:  (1) a fugacity-based model by Donald Mackay
which provides different levels of sophistication for a variety of sit-
uations; and (2) a partitioning model by W. Brock Neely based on data
from a model ecosystem.  Both models are easy to use, require a minimum
of input data, and are capable of solution with a hand calculator.  Model
outputs for both include predictions  of the precent of the chemical in
the air, water and soil compartments.  Other outputs may also be. obtained,
the Mackay model being much more flexible in this regard.
                                s
   This report describes each model, provides detailed instructions for
their use, shows the results of sample calculations for several chemicals,
and provides a comparison of monitoring data and predicted values for a
few cases.
                                    iii

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                            TABLE OF CONTENTS

                                                                   Page


Foreword                                       ,                    11

Abstract      ;                                                     ill

List of Tables                                                     yi

List of Figures                                                    viii


I.    INTRODUCTION          •                            •           1-1

       A.  Background                       -        .               1-1

       B.  .Mackay's Fugacity Approach               •               1-1
              /
       C.  Neely's Approach                         •       »v-      1-4

       D.  Study Objectives                               *         1-5

       E.  Report Contents                                         1-5


II.    CONCLUSIONS                                          .       II-l


III.   LEVEL 1 MACKAY CALCULATIONS                                 III-l

       A.  Basic Assumptions         ,                              III-l
                                                    . .'                  i
       B.  Description of the Model Environment                    III-2

           1)  Accessible Volumes                                  III-4

           2)  "Concentration" of Suspended and                    III-4
               Bottom Sediments and Soil-,

           3)  Organic Carbon Content of Sediments  and'.            III-5
               Soils
                                                    "  h. -"v
           4)  "Concentration" of Biota in Water                   III-5
   P                 •                                        T.
           5)  Temperature                                         III-5
                              •"                f


       C.  Chemical-Specific Parameters Required                   III-6

       D.  Level I Equations                                       III-9

              Step-By-Step Instructions                            111-15


                                    iv

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                        TABLE OF CONTENTS (cont.)

                                                                   Page

IV.    CALCULATIONS USING NEELY'S APPROACH                         IV-1

       A.  Basis for Approach                                      IV-1

       B.  Sample Calculations                                     IV-6


V.     LEVEL.II MACKAY CALCULATIONS                                V-l

       A.  Basic Assumptions/Model Output                          V-l

       B.  Description of the Model Environment'                   V-2

       C.  Chemical-Specific Parameters Required                   V-2

       D.  Level II Equations                                      V-7

              Step-By-Step Instructions                            V-8

       E.  Level II Calculations, With Advection, For              V-ll
           One Chemical

       F.  Level II Calculations for Test Set (No Advection)       V-15

       G.  Comparison of Predicted Concentrations with             V-26
           Monitoring Data


VI.    LEVEL III MACKAY CALCULATIONS                               VI-1

       A.  Basic Assumptions/Model Output                          VI-1

       B.  Description of the Model Environment                    VI-4
                           •        * *•*•-«
       C.  Chemical-Specific Parameters Required                   VI-4

       D.  Level III Equations                                     VI-5

              Step-By-Step Instructions                            VI-6

       E.  Level III Sample Calculation '•                          VI-7


VII.   LIST OF SYMBOLS USED                                        VII-1


VIII.  REFERENCES                                                  VIII-1

                                   .v

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                            LIST OF TABLES

Table
 No.                                                             Page

  1       Summary Information on the Models Studied              1-2

  2       Estimates of S, P   and H for Selected Chemicals       III-7
                           vp

  3       Chemical-Specific Input Parameters for Level I         111-17
          Approach, and Calculated Fugacity

  4       Mass of Chemical in Each Subcompartment Using          111-25
          Level I Approach

  5       Calculated Concentrations of Chemicals in Each         111-33
          Subcorapartment Using Level I Approach

  6       Description of the Model Ecosystem Used by Neely       IV-2

  7       Properties of a Series of Chemicals Tested in the      IV-3
          Simulated Aquatic Ecosystem

  8       Distribution of the Chemicals Shown in Table 7 in      IV-4
          the Various Compartments of the Simulated Ecosystem

  9       Chemicals and Input Data Used with Neely*s Equations   IV-7

 10       Results of Calculations Using the Neely Approach       IV-9

 11       First-Order Rate Constants Used in Level II            V-4
          Calculations

 12       Scheme for Assignment of Rate Constants for Level II   V-6
          Calculations

 13       Summary of Compartment-Specific Equations and    .      V-10
          Parameters for Level II Calculations

 14       First-Order Rate Constants for Tetrachloroethylene     V-12

 15       Level II Calculations for Tetrachloroethylene -        V-13
          Intermediate Parameters

 16       Final Results of Level II Calculations for             V-14
          Tetrachloroethylene

 17       Results of Level II Calculations for Test Set          V-16

 18       Measured vs Environmental Concentrations for           V-28
          Selected Chemicals


                                   vi

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                        LIST OF TABLES, (cent.)

Table
 No.                                                             Page

 19       Sensitivity of Level III Outputs' to D   and I   •       VI-12
          Values.  Test Calculations for Trichloroethylene
                                   vii

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                            LIST OF FIGURES

Figure
                                                                 Page.
          Schematic of Environmental Compartment Selected,,  <     III-3
          for Estimation of Equilibrium Partitioning of
          Organic Chemicals

          Estimated Residence Time in Compartment from           V-22
          Level II Calculations (No Advection)

          Estimated Concentration in Water Compartment from      V-23
          Level II Calcualtions (No Advection)

          Estimated Concentration in Air Compartment from        V-24
          Level II Calculations (No Advection)

          Estimated Concentration in Sediment Compartment        V-25
          from Level II Calculations (No Advection)

          Plot of Distribution Predicted by Level II             V-27
          Calculations.  Percent in Air, Water or Soil
          and Sediment Compartment
                                  viii

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                            I.  INTRODUCTION

 A.  Background

     As an Initial .step in hazard or risk assessments for toxic chemicals,
and in the planning of laboratory and field tests with such chemicals,
it is important to understand the likely transport and fate of the chemi-
cal.  Which environmental compartment (air, water, soils, sediments,
biota) will be most affected?  Which transport and degradation pathways
(photolysis, hydrolysis, volatilization, etc.) will be most important?
Rough guesses can sometimes be made by simple inspection of the chemical's
properties and reaction rate data - if such are available - or by the use
of mathematical models which seek to yield defensible and quantitative
estimates.  Unfortunately, realistic chemical fate models usually require
extensive input information (not always available) and a computer for'  '..
solving the lengthly calculations.

     A simple, initial estimate of environmental partitioning, fate and
transport is thus desired; one involving an approach with minimal input-
data requirements and capable of solution with a hand calculator.  Such
approaches have been proposed by Mackay (1979) and Neely (1978a, b),
amongst others.  It was the primary objective of this study to investigate
these two approaches and to determine their applicability to the general
need described above.  Table 1 provides summary information on the models
studied.

8.   Mackay* s Fugacity Approach

     Fugacity* is a thermodynamic property of a chemical.  It is related
to chemical potential but is easier to use in practical applications.
Fugacity has units of pressure (e.g., atm.) and is sometimes thought of
as a "corrected pressure" or "escaping tendency" of a chemical from a
phase.  Three further points (Mackay, op.  cit.'):
* From the Latin ^uga, meaning flight or escape.
                                  1-1

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I
ro
                                                     TABLE  1



                                     Summary  Information  on  the  Models  Studied

PROCESSES
MODELED
-

•

CHEMICAL-
SPECIFIC
INPUTS
REQUIRED3
OUTPUTS3
Neely's
Method
• Partitioning in
model ecosystem



.
H,. S
(4 compartment)
% in Air, Water
and Soil; half-
life for clearance
from fish
Mackay's Model
Level I Level II
.• Equilibrium • Steady-state
partitioning partitioning
-. • Degradation
• Flux of chemical
into model envi-
ronment
• Advection out of
" model environment
-
M, MW, H, K , MW, H, K I, k
BCF ' K
,, ^ xb (4 compartments)
(6 compartments) v F / .
H . , C . M . , • C . , R^ , T ,
M(=EM;)

Level III
• Steady-state par-
• titioning
• Degradation
• Flux of chemical
into any subcom-
partment
• Advection out of
model environment
• Inter-compartmental
transfers
MB, B, Koc> Ilf k^,
"«
(4 compartments)
M,. , C^ , R.^ , T ,
M(=EM±)
     a.  Section VII provides definitions for the symbols used in this report.   For many organic chemicals

         all of the input chemical properties required  (S,H,K   , k  , D) can be estimated.  .
                                                               oc   x


     b.  Additional compartments may be modeled if desired.  Additional parameters will  be required in some

         cases.                                                        '•-.-'

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      1)  Fugacity is linearly proportional to concentration (at least
          at the low concentrations of anthropogenic chemicals usually
          found in the environment).

      2)  For two phases in contact, the tendency is for a chemical to
          move out of the phase where it has the higher fugacity value
          into the other phase.

      3)  When the chemical's fugacity in the two phases is the same, the
          distribution of the chemical between the two phases is the
          equilibrium distribution.

      As is always the case with thermodynamic considerations, an approach
that only considers fugacity cannot tell us how quickly a chemical is (or
should be) approaching equilibrium between two phases, just in which direc-
tion equilibrium lies.  There are two general areas in which the approach
can contribute to a better understanding of the fate and transport of
toxic substances.  First, if concentration data are available for a pollu-
tant in several phases, these concentration data can be converted to
fugacitles and the fugacity levels compared.  Second, the approach may be
used to predict environmental levels (at equilibrium) for a new compound
which is being marketed for the first time, or for an old chemical for
which there are significant data gaps in the ambient monitoring file.

      A four-tiered approach is suggested by Mackay.  We report here on
investigations of the first three levels of calculations.

      Level I considers the equilibrium partitioning of an organic chemi-
cal in a static model environment with specified subcompartments (e.g.,
air, water, soil, biota).  No degradation or transport is allowed.  The
calculations require that the subcompartments be roughly, described
(volumes, sediment and biota "concentrations," temperature, etc.) and that
the amount of the chemical in the model environment be specified.  A
relatively small number of chemical-specific parameters are also required.
                                   1-3

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 These parameters are used to calculate a "fugacity capacity constant,"
 Z, which is related to fugacity, f, and compartment concentration, C, by
 the formula C  » Zf.                         .

      Level  II  allows a steady-state input  of the chemical into the model
 environment, advection out of the model environment,  and degradation  by
 any process for which a first-order degradation rate  constant can be
 obtained.   Compartmental concentrations, removal rates and an overall
 lifetime of the chemical (in the model environment) are calculated, again
 using the basic fugacity approach.'

      Level  III  improves upon the previous levels by allowing a steady-
 state input ;of  the chemical into any subcompartment and non-instantan-
 eous intercompartment transfers  (e.g., volatilization).  All other fea-
- •                         '           u-                       •••.="
 tures of the Level I and  II calculations are kept and the  same outputs
                                      *                     y
 calculated.

      Level IV (not investigated in this study) is concerned with non-
 steady-state distributions in the environment.  The calculations would
 generally require a computer.

 C.   Neely's' Approach

      The Neely work (Neely, 1978 a, b) is  based upon laboratory data from
 a model environment into which small amounts of various chemicals were
 placed.   After a suitable waiting period,  the concentration in each major
 compartment - air, water, soil - was measured.  The half-life for clearant
 from fish is also obtained from laboratory data.

      Using such data for ten chemicals exhibiting a wide range of
 solubilities and vapor pressures, four regression equations were derived
 allowing predictions of partitioning and fish clearance rates for other
 chemicals.   These predictions are intended to be used in a screening
 process and are not expected to provide defensible quantitative estimates
 of chemical partitioning.

                                     1-4

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t.D.,, , Study Objectives, ,..,.,:  ^:,  >^ a^iv.1*

      The primary objective of the study was.?to,.investigate .-the Neely- and
 Mackay models to assess the ease of use and usefulness  for estimating
 the partitioning, transport and  fate of organic  chemicals in  the  environ-
 ment.  A secondary objective was to use the Mackay Level I approach  to
 predict the partitioning of most - if not  all -  of the  organic priority
 pollutants.  Other secondary objectives were to  compare the Neely and
 Level I Mackay approaches, to investigate  the sensitivity of  the  model  to
 various input parameters, and to compare model outputs  (predicted environ-
 mental concentrations) with monitoring data for  a selected group  of  chemi-
 cals .

 E.   Report Contents

      Section II - Provides conclusions drawn from this  study.

      Section III - Describes Mackay's Level I approach.  All  necessary
      equations and step-by-step  instructions for their  use are provided.
      Calculations are shown for  all organic priority pollutants.

      Section IV - Describes Neely1s approach. f All necessary  equations
      are given.  Calculations are shown for 20 organic  chemicals  and the
      results compared with the Level I (Mackay)  predictions.

      Section V - Describes Mackay's Level  II approach.  All necessary
      equations and step-by-step  instructions for their  use are provided.
      Calculations are shown for  a test set of 24 chemicals.   Comparisons
      with monitoring  data are made for 8 chemicals.

      Section VI - Describes Mackay's Level III approach.  All necessary
      equations and step-by-step  instructions for their  use are provided.
      Sample calcualtions, including a sensitivity analysis for two
      parameters, are  provided for one chemical.

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Section VII - Provides a listing of the symbols used in this report.






Section VIII - References.
                             1-6

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                            II.  CONCLUSIONS

1.   AH of the models studied are easy to use, require a minimum of in-
put data (much of them estimable), and are capable of solution with a
hand calculator.  All are essentially limited to'use with single-compon-
ent organic chemicals, i.e., they cannot be used for complex mixtures,
solutions, salts, polymers or inorganic compounds.

2.  Both the Mackay (Level I) and the Neely models fulfill the need for
a simple, easy to use environmental partitioning model.  The Neely
approach is somewhat easier to use and requires fewer input parameters.
It can, however, yield mathematically incorrect results (e.g., percents
<0 or >100 for partitioning) which, while unsettling, can be overlooked
if they are used only for screening purposes.  The Mackay Level I model
is a more rigorous approach with a significant amount of flexibility  •"
with regard to the type of environment to be considered.  The subcompart-
ments and their accessible volumes must be described, if concentrations
in specific compartments'are to be calculated.  Accessible volumes of the
subcompartments do not need to be defined if only concentration ratios
(e.g., concentration in air/concentration in water) are to be calculated.

3.    If the analyst is only interested in calculating concentration
ratios between pairs of subcompartments or the percent  (mass) in any =
subcompartment, the Level I Mackay calculation should be used.  (The
Level I and Level II methods give identical results for these calcula-
tions.)  Accessible volumes in each-subcompartment do not have to be speci-
fied for the former calculation  (concentration ratios) but do for the
latter (percent distribution of mass).

4.    Both the Level I and Level II Mackay calculations give results
for an environment which has attained equilibrium partitioning.  The
nature of this partitioning is most simply calculated.with the Level I
model; the relative importance of various degradation processes can
only be assessed with the Level II (or III) model.  The Level II model
                                   II-l

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 thus requires that degradation rate constants (e.g.,  for hydrolysis,  bio-
 degradation, photolysis)  be known or estimated.

 5.     The Level III Mackay model allows the analyst to obtain the ab-
 solute (or relative) concentrations in various subcompartments under
 non-equilibrium conditions.   For these calculations it is necessary
 for the important intercompartmental transfer processes to be described
 in a set mathematical format.  At present,  only volatilization from
 water can be included in  a rigorous manner; transfer coefficients for
 other intercompartmental  transfer processes must be guessed.   This is  '
 considered to be a significant limitation of the Level III approach.
 Just how closely the Level III outputs resemble those from Levels 1 and
 II appears to depend primarily on how the input load is distributed
 between the media (air, land, water) and on the selected intercompart-
 mental transfer coefficients.  The results of Level I,- II and III cal-
 culations for one chemical (trichloroethylene) are compared on page
 VI-12; the output shown there indicates the range of answers that may
 be obtained with various  Level III inputs.

 6-   These models make no  attempt to describe the fate and transport of a
chemical in a well-defined, realistic environment.  Both essentially con-
sider a generalized box environment containing air, water, soil and biota
(plus other compartments,  if desired, in the Mackay model) and equilibrium
or steady-state partitioning.  The models should primarily be considered
as screening models to determine what future studies are likely to be
important for a particular chemical.
7.    In spite of the limitations mentioned in (6) above, there will
always be a temptation to use some of these models as predictive tools
for specific locations.  The Mackay Level II and III models incorporate
a sufficient degree of realism—at least with regard to chemical degra-
dation and transport—that the calculated environmental concentrations
might be taken as realistic predictions in some cases.

                                  -  II-2

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8.    If the Mackay model is to be used as a predictive model for a
specific location, then some special care must be taken in the descrip-
tion of the model environment so that it approximates the actual environ-
ment.  This poses some problems since .the Mackay model does not, as cur-
rently formulated, allow for different portions of a subcompartment to
contain different concentrations of a chemical; all portions of that sub-
compartment are taken to be equally accessible to the partitioning chemi-
cal.  A related problem is the size or accessible volume of a subcorapart-
ment in relation to the lifetime or mobility of the pollutant in that
subcompartment.  It is unrealistic, for example, to stipulate a 10 km
height for the air compartment for a chemical which is released at ground
level and has an atmospheric lifetime of only a few hours (e.g.,.due to
rapid photolysis) .  For such a chemical a 1 km height would be moire
appropriate.

      A comparison of calculated concentrations (Level II) with monitoring
data is given in Section V-G for eight chemicals.  The comparison showed
that wide discrepancies may frequently be seen, especially for surface
water concentrations.  These discrepancies may be due to the combined
effects of:  (1) a bias towards more polluted media in monitoring pro-
grams; (2) problems in obtaining meaningful averages from reported data;
and (3) a bias in the sample calculations of this report towards less
polluted areas.  None of these possible reasons reflects any fundamental
flaw in the model used.
                                  II-3

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                     III.   LEVEL  I MACKAY CALCULATIONS

A.    Basic Assumptions

      The basic assumptions of the Level I calculations are as follows:

     . •  All of the environmental subcompartments (air, water, soil,
         etc.) are at equilibrium, and there is no net flux of the sub-
         compartment material (air, water,, soil, etc.) into or out of
         any subcomparttnent or the compartment as a whole.

      •  -The chemical is at equilibrium in the.environmental compart-
         ment, and there is no net transport of the chemical between any
         subcompartments, and no net flux into or out of the compartment
         as a whole.

      •  No chemical or biological degradation of the chemical takes
         place.

      In addition to the above, there are a number of assumptions (or
estimates of various parameters) that are associated with a particular
set of calculations. One such set of assumptions is related to the size,
accessible volumes, and nature of.the various subcompartments selected
for study. Details on the compartment—related parameters selected for
use in the Level I calculations are given in the following subsection.
The specific numbers used were selected somewhat subjectively and are
not to be considered representative of all environments. Key assumptions
associated with the values selected include the following:

      •  The accessible volume in the air compartment encompasses the
         air up to the top of the troposphere  (-- 10 km). (This is too
         large for highly reactive chemicals and too small for very
         stabl'e chemicals; e.g., the f luorocarbons.)
                                  III-l

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      •  Deep soils and deep ocean waters are not considered to be
         accessible to the chemical. (This will hold for chemicals with
         modest half-lives.)

      The Level I calculations require a val;ue for the total amount of
the chemical in the environmental compartment if a real attempt is
being made to predict actual environmental concentrations. Obtaining
such a value would require either (1) extensive monitoring data on the
chemical, or (2) detailed information on emission rates, transport path-
ways (and rates) and degradation rates. The time requirements for such
a data compilation or evaluation effort are significant, and thus we
have selected a route which, while only allowing the calculation of
relative amounts and concentrations of the chemical in each subcompart-
ment, is rapid and still allows important conclusions to be drawn:

      »  The total amount of each chemical in the selected compartment
         is 100 moles.
B.    Description of the Model Environment *

      Figure 1 provides a schematic diagram of the selected model
environment. The subcompartments selected here for study are:

      1.  Air                       4.  .Bottom sediments
      2.  Surface waters            5.  Aquatic biota
      3.  Suspended sediments       6.  Soils

There is no reason that fewer or more subcompartments could not be
used by other users of this method. The specific compartment-related
parameters used in our calculations are detailed below; subscripts
on any symbol refer to the: subcompartments identified above.
 A  listing of  the  symbols used  in this  (and subsequent) sections is
 given  in Section  VII.
                                 III-2

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                                                                Atmosphere
                                                                Soil
                                                                Surface Water

                                                                1  Aquatic Biota and
                                                                  Suspended Solids

                                                                   Bottom Sediments
FIGURE 1   SCHEMATIC OF ENVIRONMENTAL COMPARTMENT SELECTED FOR ESTIMATION
           OF EQUILIBRIUM PARTITIONING OF ORGANIC CHEMICALS

         Note:   Diagram is not to scale. Dimensions and accessible volumes of each
                subcompartment given in the text.
                                 Ill-3

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      1) Accessible Volumes (V.).. The volumes of .each subcompartment
that were considered accessible 'to all chemicals are as follows:


      Air: V  = 1 km x 1 km x 10 km(high) = 1010 m


      Surface water: V~ = 1 km x 0.05 km x 3 km(deep) = 1.5 x 10  m
                                                 t
                         *                    53
      Suspended sediments : V, = V- = 1.5 x 10  m

                      *                                            33
      Bottom sediments : V, = 1 km x 0.05 km x 10 cm(deep) = 5 x 10  m


                   *                    53
      Aquatic biota :  V  = V_ = 1.5 x 10  m


      Soils: V, = 1 km x 0.95 km x 15 cm(deep) = 1.4 x 10  m
              o • •
      2) "Concentration" of Suspended and BottomSediments and

Soil (c  ).  Within the accessible volumes for subcompartments 3, 4,
       si
and 6, some of the volume is taken up by water or air. The sediments or
soil may thus be considered to exist at a certain "concentration"
within these volumes. The selected concentrations are:

                                        3
     . Suspended sediments : c   =10 g/m
                             S3

      Bottom sediments    : c   = 2 x 10  g/m
                             S4

      Soils               : c   = 2 x 106 g/m3
                             S6
      *                              -        •
       Initially the accessible volume for suspended sediments and
aquatic biota are taken to be the same as for the surface waters.
A correction factor is applied later that accounts for the fact that
suspended sediments and aquatic biota take up only a fraction of the
surface water volume. A similar correction factor is applied for
bottom sediments.

                                  III-4

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      3) Organic Carbon Content of Sediments and Soils (oc).. Since
we have selected to use soil and sediment adsorption .coefficients,
K  , which are based upon the organic carbon content, (oc). of the
 oc                             °
soil, this content must be specified..Values of.(oc) vary widely in
nature with" the range of 0.17. - 20% encompassing most values. The
following values have been used for our Level I calculations:
      Suspended and bottom sediments  : (oc)- = (oc), = 10%

      Soils                           : (oc), =2%
                                            o

      4) "Concentration" of Biota in Water (B). The volume fraction
                                                    -533
of biota in the surface waters is /taken to be 5 x 10   m /m . If the
density is assumed to be 1 g/cm ,fthe "concentration" is 5x10  g/g.
Mackay,  in his  original  discussion of  the biotic  subcompartment,
required  one  additional  parameter,  y, the fraction of the aquatic biota
that  could be considered  equivalent to octanol. This  was  done so  that
the  octanol/water partition  coefficient (K  )  could be used  in place
                                            ow
of  the bioconcentration  factor  (BCF)   in assessing the uptake  of  the
chemical  by  biota.  (Values  of  log K   and  log BCF can be  related by
linear  regression equations).  We  have  decided  to  write  our basic
equation  in  terms of BCF rather than y  x K  ., since  it better describes
             ;                              °W.
what  is  implied  in  the  term and  shows explicitly  how  (or where)  a
measured  value of BCF may be used.  In  numerous  cases, however, it will
be  necessary to  use  values  of  BCF that have  been estimated  via  K
                                                                      ow
or some other parameter.

      5)  Temperature (T).    A temperature of  20°C  (293K)  was selected
for  the  Level I  calculations.  The  temperature  is  only  used directly
in  one part  of  the  calculations (the Z factor  for the air subcompart-
ment),  but  it  is an indirect  factor   for  the  other chemical-specific
parameters  (e.g.,  solubility,   vapor pressure)  which  are  a  function
of  temperature.  It  should  be noted  that many  of the chemical-specific
parameter values  used  here  were  derived  at .temperatures  other   than
20°C, usually 25°C or  some other value near room  temperature. No~ correc-

                                  III-5

-------
 tions  were  applied  for  the  Level I  calculations,  since  the results
 would not be  significantly- affected by  such  small  temperature changes.

 C.   . Chemical-Specific  Parameters Required

      For  the  Level I  calculations,  the  following  chemical-specific
 input parameters are  required:

      •  Henry's Law  constant, H
      •  Soil and sediment adsorption coefficient, K
                                *                   oc
      e  Bioconcentration  factor for  aquatic  life, BCF
      •  Molecular weight, MW
Values  of H, K   ,  BCF and MW were taken,  when  available,  from a draft
               oc
report  by  SRI,  International.  Although  not explicitly  stated  in this
draft  report,  it  should  be understood  that a large  fraction  of the
listed  values are estimates and may be in  error by one of the
order of  magnitude or  more.  Values of H are usually taken as the ratio"!
of  the  chemical's  vapor  pressure (Pvo^  to  its,water  solubility (S).j
Values  of H for  21  chemicals were not given in  the SRI  report and were
estimated by A. D.  Little.  The  values we  estimated,  and the values of
P    and  S  from which  the  values  of H  were  derived,  are  listed  in
Table 2.  P   values were  estimated using  a modified Watson correlation
           vp
which  requires  a measured or estimated value  of the boiling point. Most
of  the  S  values were  estimated using a measured  or estimated value of
the  octanol/water  partition  coefficient   (K   )  and  one  or  more
                                              ow
suitable  regression equations relating log S  to log K  ; the values of
S  for  the  two  halomethanes  were  derived  from  a  fragment  constant
          *
approach.
     *
      Details  of  the estimation' methods used  are  provided in two draft
chapters  (Ch.  2:  Solubility in Water,  by W.  Lyman;  and Ch. 14: Vapor
Pressure,  by C.  Grain) which are part of  a chemical-property estimation
methods handbook currently being prepared  by A. D. Little  under contract
to the U.S. Army.   The report will be available in  1981.
                                  III-6

-------
                                Table 2
           Estimates of S, P   and H  for Selected  Chemicals'
No.b
14.
16.
18.
20.
29.
33.

34.

60.

62.

81.
83.
84.
85.


89.
91.


108.
109.
110.


111.
112.

113.

Chemical
Endosulfan sulfate
Endrin aldehyde
Heptachlof epoxide
TCDD
2-Chloronaphthalene
Methane, -
chlorodibromo
Methane,
dichlorobromo
Ether,
4-bromophenyl phenyl
Bi s( 2-ch loroethoxy )
methane
Phenol, 4-nitro
Phenol, 2,4-dimethyl
m-Cresol , p-chloro
o-Cresol, ,

4,6-dinitro
Phthalate, di-N-octyl
Phthalate,

Butyl benzyl
Nitrosamine, dimethyl
Nitrosamine, diphenyl
Nitrosamine,
di-N-propyl

Benzidine
Benzidine,
3,3'-dichloro
Hydrazine,
1,2-diphenyl
'P
Mol.
Wt.
422.9
381
389.2
322
162.6

208.3

163.8

249.1

173.1
139.1
122.2
142.6


198.1
391


312
74.1
198.2

130.2

184.2

253.1

184.2
-s
(mg/L)
.100, -
o.iVc
(0.350)
(0.0002)
2.8

4,600

6,000

380
.
(8.1x10 )"
(1.6xl04)
(4,200)
(3850)


950
(3.0)


(2.9) .
4.9xl05
26

(9900)

890

(4)

30
P
(mm H^) ,
>•' ''&*
3.3x10
i.3xio~7
1.0xlO~7
6.1xlO~7
1.6xlO~2

(15)

(50)

(1.5xlO~ )
-1
1.1x10
3.2xlO~6
(6.2xlO~2)
7.1x!0"3

— C
7.3x10
3.3xlO~5
,d
— D
8.6x10
2.7x10°
1.4xlO~5

1.6xlO~3
•7
6.8xlO~

2.9xlO~7
_5
9.2x10
« H '-3
(atm-'m /mole)
1.8X10-10
6.5xlO~7
1.5xlO~7
1.3xlO"3
1.2xlO~3
-4
8.9x10

1.8x10
-6
1.3x10
_7
3.1x10
3.7xlO~?
2.4xlO~6
3.5xlO~7


2.0xlO~°
5.7xlO~6

— 1 1"
1.2x10
5.4xlO~6
1.4xlO~7 •

2.8xlO~8
-10
1.8x10 1U

2.4xlO~8
_7
7.4x10
a. The values of S and P   in parentheses are from the draft SRI,
   International, report." The  other  values of S and  P   are estimates,
                                                       vp
                                III-7

-------
Table 2 footnotes (continued)
a temperature of ~20°C, by Arthur D. Little, Inc.  Values of H  are
derived from the S and P   values as follows:
                        VP  -    .        /*'   '• ' '  -           ,       .'  •'„/
                  3    P    (mm Hg)  . MW (g'/mole)  .,
           .atm  . m    _  vp     •  6   	£	  ,.
           1  mole  '  ~       S  .(mg/L)  .  760- '   -

                                 s
b.  No. =  index number of  chemical  used in subsequent listing of all organic
priority pollutants.
 c.  This  value  is  an "educated guess";  it is more uncertain than other .
 estimates.
 d.   This  is  a  measured value  from Gledhill et al. (1980).
                                  III-8

-------
      The values of H, K   , BCF, and MW used for all of the priority.
pollutants are provided in Table 3.   This  table also provides  the calcu-
lated fugacity  (f), which  is the first parameter calculated in the
Level I approach described in the .following subsection.
                                          t
      The total mass (M) of each chemical .in the environmental compart-
ment is taken as 100 moles for  the Level I calculations.  (See sub-
section A above for rationale.).
D.    Level I Equations

      The basic  tenet of the Mackay approach  is  that,  at equilibrium,
the fugacity of  the chemical is the same. in all  subcompartments;  i.e.,
This fugacity, which has the units of pressure  (atm), can be regarded
as the chemical's "escaping- tendency" or "corrected pressure" within
a phase.

      A second major tenet is  that f is proportional to  the chemical's
concentration (C), at  least at the low concentrations of anthropogenic
chemicals usually found in the environment. Mackay uses  the symbol Z
for the proportionality constant:

      C = Zf                       .                            (2)

               3                                         3
With C in mol/m  and f in atm, Z will have units of mol/m atm. -

      The value of Z depends- upon both the nature of the chemical and
the environment it is  in. It' is also a function of temperature  and
pressure. Mackay gives the following equations -for the calculation
of Z in each subcompartment; the basis for these equations is discussed
more fully  in his paper (op cit.):

                                 III-9                      .

-------
1.    Air:
      2. = 1/RT = 41.6 at 20°C                                    (3)

                                  -53
      (R = gas constant = 8.2 x 10   m atm/mol. deg.)


      (T = temperature, K)
2.    Surface Water:
      Z2 = 1/H (= S/Pvp)                                          (4)




                         *
3.    Suspended sediments '





      Z, = 10~6K  c  /H    .                .                       (5)

       3        P3 S3


      (K  = soil adsorption coefficient)
        P




or    Z  = 10~8(oc),K  c  /H                                      (6)
       ^           j OC S-



      (K   = 100 . K /(oc) )
        oc          p



      ( (oc) = % organic carbon in soil or sediment)




                      *                  •      -i
4.    Bottom.sediments :





      Z, = 10~6 K   c  /H                                         (7)
       4         P,  s.
                 r4   4


or            „

      Z4 = 10"°(oc)4 KQC cs /H                                    (8)
      JL.

      "Eqs. 5, 7, 9, and 11 are given by Mackay (op cit.). Eqs. 6,


8, and 12 (which involves the use of K   in place of K  and Eq. 10

which uses BCF in place of y . K  ) have been used in the calculations

here*
                                 111-10

-------
                   *
5.    Aquatic Biota :
or
Z, = B .  y .  K  /H                        ,                  (9)
 J            OW





Z  = B .  BCF/H     '                              .           (10)
6.    Soils :





      Z, = ICf6 K   c  /H                                         (11)

       6         ?6  S6
or


      Z6 = iO-8 (oc)6 KQC c  /H                                   (12)

                            b




      With the above Z-f actors, the fugacity is given by



             6

      f = M/    (V.)                                            (13)
where M is the total amount of the chemical in the compartment, the


Z. values are obtained from Eqs. 3 to 12, and. the V. values are the


accessible volumes of each of the six subcompartments, as described


in subsection B-l above.  When the selected values of V. and Eqs. 3,


4, 6, 8, 10 'and 12 are substituted into Eq. 13, the result is:





      f = M/,(4.16 x IO11  + 1.5 x 105/H + 1.5 x 10~3(oc).K  c  /H
                                                       3 oc s_


            + 0.5 x 10~4(oc),K  c  /H + 1.5 x IO5 B (BCF)/H
                            4 oc s4


            + 1.4 x 10~3  (oc), K   c  /H)                         (14)
                             D  OC  S,
                                     0



Then, with the selected values of (oc) , c  arid B (see subsection B
                                         5

above), Eq. 14 becomes:





      f = MH/(4.16 x 10UH + i.5 x IO5 + 0.15 K   + IO3 K
                                           :    pc  , .     oc


             + 7.5(BCF) + 5.6 x 103.KOC)        .                  (15)
                                 I11-11

-------
which may be reduced to:
      £ = MH/(4.16 x 10UH + 1.5 x 105 + 6.6 x 103K   + 7.5(BCF)  )   (16)
                                                   oc

      Equation 16 was then evaluated for all of the organic priority
pollutants using the values of H, K   and BCF from Table 3; M was.
taken as 100 moles for each chemical.  The calculated f values are also
given in Table 3; they range from about 10    to.10    atm.

      It should be noted that, for certain classes of chemicals, just
one term in the denominator of Eq. 16 may be important. Values of H
(range ~ 10~  to 1), K   (range •%. 1  to 10 ) and BCF (range -«. 1 to 10 )
vary greatly. For chemicals with relatively low K   and BCF values
and relatively high H valuess (i.e., hydrophylic, volatile chemicals),
the first term in the denominator will dominate and Eq. 16 reduces
to:                                                       ,
      f = M/4.16 x 1011                        .                   (17)
                          — 10
which is equal to 2.4 x 10    atm with M = 100 moles. Approximately
50 percent of the chemicals  listed in Table  3 have f values  of
~2 x 10    because of this combination of factors.
      Two other points are worth noting. First, the calculated f values
are directly proportional to M, the total mass of the chemical in the
compartment.  The values of f in Table 3 are for M = 100 moles.   An
adjustment of f for any other value of M is thus a straightforward
ratio calculation. For example,,to obtain f for M = 10 moles, the values
of f in Table 3 would be divided by 10 (100/10 =10)..

      Second, both K   and BCF are measures of hydrophobicity in that
they represent the ratio of the chemical's concentration in some organic
medium (soil, biota) to that in water. A more general measure of hydro-
phobicity is K  , the octanol/water partition coefficient. Two fairly
general regression equations relating K   to K   and BCF are t
                                       ow     oc
      *                •  -  •                     '
       Eq. 18 from Kenaga,  E.E., and C.A.I, Goring (1980).
       Eq. 19 from Veith et al. (1979).
                                 111-12

-------
and
      log K   = 0.544 log K   + 1.377                              (18)
        6  oc           B  ow
      log BCF = 0;76 log K   -0.23            *   '                  (19)
With these -relationships,'Eq. 16 may be written with only  two  chemical-
specific parameters, H and K  :'"'              •'  •*'"'•
                                                     "*"*
      f = MH/(4;l6xl011H+1.5xl05+1.6kl05(K  -)0^44+4.4(K   )°'76)   (20)
                                          ow            ow

This equation thus expresses f in terms-of two, obviously  important,
partition coefficients:  an air/water partition coefficient (H) and
an organics/water partition coefficient (K  ). These two coefficients
are not independent variables, since both depend on the hydrophilicity
(e.g, solubility) of the  chemical.

      Once values of f have been calculated,  the mass  of the chemical
in each subcompartraent,  M^, is obtained from
                                           ':
                    v   .     !  . '       •  •-         '           -
      M. = f V. Z. moles         '  -   ;         ' •      •           (21)
       111

Since in our own case 2»M, = 100 moles, the individual values  of M.
are equivalent to the percent of the chemical  in each  subcompartment.
The calculated values of  M. .(M. = mass
water, etc.). are shown in Table 4.   .- '
The calculated values of M. .(M. = mass  in'air, M_ = mass  in  surface"
      Once the M. values have been obtained, the'concentration  of  the
chemical in each subcompartment,•C., is obtained from •   -      •

      C.^ = Z^f -  mol/m3   -.'.    •       ••••'.              '  (22)
or        .       '   ..    •.,.--•            :.'  '    '    - '•
      Ci = Mi/Vi   mol/m3     '                  •                 '  ^23:)

      The units of C. from  Eqs. 22 and-.2-3 are moles  per  cubic meter  •<
                    1                3                          3
of. the environment; i.e., moles per m  of air for  Cy, moles  per nr of
                                     3         • •     • •
water for C2, C~, and C^,'moles per m  of bottom sediments for  C,,-
                                  111-13              .  -  .   .

-------
               3                               •'''.'•
and moles per m  of soil for C,. Concentrations of chemicals in the
                              o
environment are more commonly expressed on a .volume per volume basis
for the air compartment and on a weight per weight (or weight per
volume) basis for the other subcompartments. Conversion to these more
common units requires ..the use of the c  values for soils and sediments,
the B value for biota, and the molecular weight (MW) of the compound.
For the environmental compartment chosen, the equations for calculating
concentrations, C.', in the more common units are:

      C ' = 2.4 Mj ppt (vol/vol) *                                 (24)

      C2' = (MW)M2/0.15 ppt (wt/wt)             .                   (25)

      C3' = (MW)M3/1.5 x 10~6 ppt (wt/wt)                          (26)

      C4« = (MW)M4 x 102 ppt (wt/wt)                               (27)

      C5' = (MW)M5/7.5 x 10~6 ppt (wt/wt)                          (28)

      C6' = (MW)M&/0.28 ppt (wt/wt)                                (29)

      Equations 24 to 29 were used to calculate subcompartment concen-
trations for each of the organic priority pollutants. The results  are
provided in Table 5.   Again,  it should be pointed  out that  these
calculated concentrations are based upon an assumed total load (M)
of 100.'moles'of each chemical in the total compartment. But again,
the C.1 values are directly proportional to M so that adjustments  may
easily be made for different estimates of M. The values of C-' and
C,' are equal, since we have assumed that the organic carbon content
of the suspended and bottom sediments is the same (10%).

      If only concentration ratios between two subcompartments are to
be calculated,. just the fugacity coefficients (Z)  need to be calculated.
The ratio of concentrations in subcompartments i and j (cf. Eq. 22) is
simply:  CJ./G.J = zi/zj •
  If units of wt/vol are desired for air; use
          c1' «• Mi
-------
Step-by-Step Ins t ructions                                 r
    •srta irx  feifi-vfflj&iio ?o afto; ?e'i;itif;i.:i.;7orJ . A0  '
    ». SOI CiXSJ V f rtGiJUnO '.V 9">r OKI ii'ifi 3a'.«i'iUIO%ivr.u (1) For the pollutant of interest, obtain MW, H, K , BCF and M (mass 3.00 jriiiidw 10) . jr)oi.i-.w iso :><{•*..;•-•'.; va no bos .HiomJ-ipqrco:; :vu; . yH-' "o:i of chemical in mtfdel environment). H may be estimated from >•!:) bn?, ,n;loid ~:v~i &I.UGV :s.'iC'j (2) For the model environment, select the desired Values for the •> accessible volumes of each subcompartment , V (o ) , the concen- (f-lvj • ' " (Iov\.iov) :JC,TI ,H £ . £ --- ' .0 tration of soil and sediments in their respective sub compartments, 3 c (g/m ), the organic carbon content of these soils and sediments, fcSs , i jw\:iw> • 3qq - '..'.; oc (%) , the volume fraction of biota in the surface waters, B, and the temperature, T (K) . (di./ . (.iv,'i.;^5 :;qvi '''""O.! :< i". . }. \ t/ j ' v. ?'; • \ ; (3) For the subcompartments of interest, calculate the fugacity (\v) 3 ;jv..\jw) uq« "Of x ,K;'WM) •-: ' . ,; coefficients, Z (mol m /atm), from equations 3", 4, 6, 8, "10 and 12 (or 3, 4, 5, 7, 9 and 11 if the original Mackay approach is to {80 x UwV;w; 3qq " y [ >: £'.*\.,KfWMj « ' /J be used) . ^i;> (i^\.;w; y.:iq Sv.O\.H(WM) = ! D (4). Calculate the chemical's fugacity us ing 'equation 13. (If 'equation set 3, 4, 6, 8, 10 and 12 is used for' the Z values, and th -J .7ii'jrp3TBsiincjdu« ^::-r-, !i::>.r&v, ;> 3 \itv.» <•:-"/ qv? y£*<-.vj AS snoi;;sup:l . . . . accessible volumes (V ) are the same as were selected for the ?! 3 ! ti<; ft v or!T . a jcrfi .;i;i ; rt ; model environment used here, then equation 14 may be used to .sasrfj 3 fids j's/o .iaitiiioq s>c! ⅈor(a' ij: tioi.figA .L a Lost' fj.r Is ft h^y «>•/<« calculate f. If, in addition, the values of (oc) , c and B are J-;)-b&o.r I&:tOj b'jii(.'ja.aB (SB noqu h.'iEB the same as in the model environment selected here, then equation i:.r«asi 3:<3. . -jnjiX7J"r.q(rio:i [fijc,:i nri:? rri I £.->.? flvirir/ rfoB9 io ,?iiiom 001 I'.i . . 16 may be used to calculate f . ) K-:rj-vvrs.is«r be. :3t.>rfJ o?.. M 6n I <;r-o.i ->"ip<;ui vJ 3L>c»"t f.b r»:T. ',,0 I:-i a->ijjj-v iilT .t-s io ;.:••> jii(r:M?.=5 3fi£."! •>"; J rb ^oj E-btifn nrf vfittr.-.- (5) Calculate the mass, M (mol), of the chemical in each subcompartment Jr!OJi"!ci:> riOffsBD rj.rfi.f.y'iO a»Tj • :ff.:l j L> v (flu a 3 E sv'&ri 7;v^ s?n.f« ,'aups st£> '-;"J using equation 21. *" ' (6) Calculate the concentration, C. (mol/m ), of the chemical in each o') o'iii a.tasan'if.f.mosdusi ov; ri^^-:i:.!.'J-rto;. j.f;\ «o.r:i6T.1n.-iDno3 vine. xi. subcompartment using either equation 22 or 23. Note that these bs3B.i.i;VilK1} »4 oU bssm (S) s:r;:s/ioi A-'C.M.O v'.MDBpiJ.! aii:3 i8i»|, tb:*aeiu3lfi:.> .&f concentration units are mass per cubic meter of environment. ?:i ('IS , p!i' . io'J f SiiTfS 1 a-j«i»:«.i-.i^f;;:K'.-.'.iyv; J'J BfKii. 3 l.vT^OSi.OilOi jtO i;'l :.•}•• ^ uijT Equations 24-29 allow concentrations. C?, to be calculated and i .^\-t:s * j..">\v'> :vj.cj »yt/ :'.'..'• '• JtvT !;>S'.t

-------
expressed in more conventional units (ppt by volume for air and
ppt by weight for the other compartments),
                           111-16

-------
                   TABLE 3

   Chemical-Specific Input Parameters3 for
Level I Approach, and Calculated Fugacity (f)

No. Name
I. Pesticides
1. Acrolein
2. Aldrin
3. a-BHC
4. B-BHC
5. Y-BHC (Lindane)
6. 6-BHC
7. Chlordane
8. DDD
9. DDE
10. DDT
11. Dieldrin

12. ot-Endosulfan
13. 6-Endosulfan
14. Endosulfan Sulfate
15. Endrin
MW

56.06
' 365.
291.
291.
291.
291.
406.
320.
318.
354.5
381.

406.9
406.9
422.9
381.
H

5.66 x 10~5
1.7 x 10~4 .
6.0 x 10~6
4.5 x 10~7
8.16 x'10~6
2.07,x ID'7
9.4 x 10~5
2.15 x 10~8
6.79 x 10~5
1.58 x 10~5
4.57 x 10~10
C
1.0 x 10
1.91 x 10~5
1.8 x 10~10
4.0 x 10~7
K
oc

.563
1.10 x 105
4.27 x 103
4.27 x 103
4.27 x 103
4.27 x 103
1.66 x 105
8.92 x 105
5.02 x 106
4.47 x 106
1.91 x 103

0.0126
0.0126
0.0276
1.91 x 103
BCF

0.17
3.29 x 104
1.28 x 103
1.28 x 103
1.28 x 103
1.28 x 103
4.98 x 104
2.67 x 105
1.50 x 106
1.34 x 106
572.

0.00378
0.00378
0.00827
572.
f

2.39 x 10~10
2.13 x 10*"11
1.95 x 10"11
1.58 x 10~12
2.57 x 10"11
7.28 x 10~13
8.28 x 10"12
3.65 x 10"16
2.05 x 1C)"13
5.35 x 10"14
3.58 x 10~15
-10
2.32 x 10
2.36 x 10"10
1.20 x 10"13
3.09 x 10"12

-------
No. Name
16. Endrin Aldehyde
17. Heptachlor
18. Heptachlor Epoxide
19. Isophorone
20. TCDD
(2,3,7 ,8-TetrachlorodIbenzo-p-dioxin)
21. Toxaphene
II. PCB's and Related Compounds
5 22. PCB-1016 (Arochlor 1016)
i
oo 23. PCB-1221 (Arochlor 1221)
24. PCB-1232 (Arochlor 1232)
25. PCB-1242 (Arochlor 1242)
26. PCB-1248 (Arochlor 1248)
27. PCB-1254 (Arochlor 1254)
28. PCB-1260 (Arochlor 1260)
29. 2-Chloronaphthalene
III. Halogenated Aliphatics
30. Methane, Broroo- (Methylbromide)
MW
381.
373.5
389.2
138.2
322.
.414.
257.9
200.7
232.2
. 266.5
299.5
328.4
' 375.7
162.6
94.94
H
6.5 x 10~7
3.95 x 10~3
1.5 x 10~7
5.75 x 10~6
1.3 x 10~3
0.21
3.3 x 10~4
1.2 x 10~4
8.6 x 10~4
1.98 x 10~3
3.6 x 10~3
2.6 x 10~3
0.74
1.2 x 10~3
0.197
K
oc
759.
1.41 x 104
246.
100.
3.80 x 106
1.1 x 103
2.1.x 105
6.6 x 103
880.
7.2 x 103
3.2 x 105
6.1 x 105
7.7 x 106
5.5 x 103
6.77
BCF
228.
4.24
73.7
30.0
1.14 x 106
330.
6.3 x 104
2.0 x 103
264.
2.1 x 103
9.5 x 104
1.8 x 105
2.3 x 106
1.68 x 103
2.03
f
1.20 x 10"11
2.27 x ID'10
8.17 x 10~12
1.80 x 10"10
5.07 x 10~12
,2.40 x 10"10
2.17 x 10"11
1.28 x 10" 10
2.36 x 10~10
2.27 x 10"10
9.97 x 10"11
5.09 x 10"11
2.06 x 10"10
,2.24 x 10~10
2.40 x 10~10

-------
TABLE 3 (cont.)
No. Name
31. Methane, Chloro- (Methylchloride)
32. Methane, Dichloro- (Methylene
chloride)
33. Methane, Chlorodibromo-
34. Methane, Dichlorobromo-
35. Methane, Tribromo- (Bromoform)
36. Methane, Trichloro- (Chloroform)
37. Methane, Tetrachloro-
(Carbon tetrachioride)
W'
M
71 38. Methane, Trichlbrofluoro-
t-1
vD
. 39. Methane,. Dtchlorpdifluoro- •
40. Ethane, Chloro-
41. Ethane, 1 , 1-Dichloro-
42. Ethane, 1 , 2-Dlchloro-
43. Ethane, 1,1,1-Trichloro-
44. Ethane, 1,1,2-Trichloro-
45. Ethane, 1,1,2,2-Tetrachloro-
46. Ethane, Hexachloro-
MW
50.49
84.94
208.29
163.83
252.75
119.38
153.82
137.4
120.91
64.52
98.96
'98.98
133.41
133.41
167.85
236.74
H
0.04
2.98 x 10~3
8.9 x 10~4
1.8 x 10~3
5.44 x 10~4
2.88 x 10~3.
2.32 x 10~2
0.11
2.98
1.48 x 10"2.
4.26 x 10~3
9.14 x 10~4
3.0 x 10~2
7.42 x 10"4
3.80 x 10~4
2.49 x 10~3
K
oc
4.9
10.0
95.6
69.2
132.
50.2
502.
182. -
66.1
-17.0 '
34.7
16.6
174.
64.6
251
2.29 x 104
BCF
1.47
3.00
28.7
20.8
39.6
15.4
150
54.6
I
19.8
5.10
10.4
4.98 :.
52.2
19.4
75.4
6.88 x 103
f
2.40 x 10~10
2.40 x 10~10
2.40 x 10"10
2.40 x 10~10
2.39 x 10"10
2.40 x 10~10:
2.40 x 10"10
2.40 x 10"10
2.40 x 10"10
2.40 x 10~10
2.40 x 10~10;
2.40'x 10~10-
2.40 x 10"10
•2.40 x 10~10.
2.38 x 10~10
2.10 x 10~10

-------
                                                  TABLE  3  (cont.)
NJ
O
No. Name
47. Ethene, Chloro-
(Vinyl chloride)
48. Ethene, 1,1-Dichloro-
49. Ethene, Trans-dichloro-
50. Ethene, Trlchloro-
51. Ethene, Tetrachloro-
52. Propane, 1,2-Dichloro-
53. Propene, 1,3-Dichloro-
54. Butadiene, Hexachloro-
55. Cyclopentadiene, Hexachloro-
IV. Ethers
56. Ether, Bis(2-chloromethyl)-
57. Ether, Bis(chloroethyl)-
58. Ether, Bis(2-chloroisopropyl)-
59. Ether, 2-chloroethyl vinyl-
60. Ether, 4-Bromophenyl phenyl-
61. Ether, 4-Chlorophenyl phenyl-
62. Bis(2-chloroethoxy) methane
MW ,
62.5
96.94
96.94
131.39
165.83
112.99
110.98
260.79
272.77
115.
143.
171.1
106.6
249.11
204.66
173.1
H
198.
0.160
6.9 x 10~2
9.10 x 10~3
2.0 x 10~2
2.31 x 10~3
1.33 x 10~3
2.56 x 10~2
1.61 x 10~2
2.1 x 10~4
1.3 x 10"5
1.1 x 10~4
2.50 x 10"7
1.3 x 10"6
2.19 x 10~4
3.1 x 10~7
K
oc
9.34
38.0
9.56
38.0
360.
57.6
29.5
1.00 x 103
1.05 x 103
1.32
15.9
69.2
7.59
6.61 x 104
1.70 x 104
5.89
BCF
2.80
11.4
2.87
11.4
100.
17.3
8.86
300.
314.
0.396
4.76
20.8
2.28
1.98 x 104
1.44 x 104
1.77
f
2.40 x 10~10
2.40 x 10""10
2.40 x 10"10
2.40 x 10~10
2.40 x 10~10
2.40 x 10~10
2.40 x 10~10
2.40 x 10~10
2.40 x 10~10
2.40 x 10~10
2.30 x 10~10
2.37 x 10~10
8.22 x 10"11
2.97 x 10~13
1.07 x 10~10
9.75 x lO'11

-------
                                                    TABLE 3 (cont.)-
K>
No. Name
V. Monocyclic Aromatics (Excluding
Phenols, Cresols, Phthalates)

63. Benzene

64. Benzene, Chloro-

65. Benzene, 1 , 2-Dlchloro-

66. Benzene, 1 , 3-Dichlofo-

67. Benzene, 1,4-Dichloro-

68. Benzene, 1,2,4-Trichloro-
69. Benzene, Hexachloro-

70. Benzene, Ethyl-
71. Benzene, Nitro-

72. Toluene

73. Toluene, 2,4-Dinitrp-

74. Toluene, 2,6-Dinitro-
VI. Phenols and Cresols

75. Phenol

76. Phenol, 2-Chloro-

77. Phenol, 2,4-Dichloro-
MW



78.12

112. 56'

147.01

147.01

147.01

181.45
284.79

106.16
: 123.11

92.13

182.14

182.14


94.1

128.56

163.0
H


_3
5.5 x 10
-3
; 3. 58 x 10
_3
1.93 x 10
-3
3.61 x 10
-3
3.1 x 10
_3
2.31 x 10
6.79 x 10~4
o
6.58 x 10
1.31 x 10"5
-3
5.17 x 10
-6
4.5 x 10.
-ft
7.9 x 10

_7
4.54 x 10
_5
1.03 x 10
-6
2.8 x 10 °
K
oc



74.2

380.
3
2.00 x 10
3
2.00 x 10
3
2.00 x 10
A
1.02 x 10
1.45 x 106
3
1.20 x 10
40.8

339.

105.

105.


' 16.2

83.2

437.,
BCF



22.3

'114.

599.

. 599.

599.
. • — -•— 	 -i
3.07 x 10J
4.34 x 105

' 361.
12.2

102.

31.4

31:4


4.87

25.0

131.
f


—in
2.40 x 10 AU
-10
2.40 x 10 AU
-10
2.36 x 10
-10
2.38 x 10 ±u
-10
2.38 x 10
10
2.25 x 10~
6.89 x 10~12
-10
2.40 x 10 iu
2.23 x 10~10
-10'
,2.40 x 10 u
-10
1.66 x 10
-10
1.91 x 10 AU

-10
1.02 x 10 1U
-10
2.07 x 10 AU
-11
6.67 x 10

-------
                                                  TABLE 3 (cont.)
[
K)
No . Name

78. Phenol, 2,4,6-Trlchloro-
79. Phenol, Pentachloro- .

80. Phenol, 2-Nitro-
81. Phenol, 4-Nitro-
82. Phenol, 2,4-Dinitro-

83. Phenol, 2,4-Dimethyl

84. m-Cresol, p-Chloro-

85. o-Cresol, 4,6-Dinitro-
VII. Phthalate Esters

86. Phthalate, Dimethyl-

87. Phthalate, Diethyl-

88. Phthalate, Di-N-butyl

89. Phthalate, Di-N-octyl
90. Phthalate, Bis(2-ethylhexyl)-
91. Phthalate, Butyl benzly-
VIII. Polycyclic Aromatic Hydrocarbons
92. Acenaphthene
MW

197.5
266.4

139.1
139.1
184.1

122.2

142.6

198.1


194.2

222.2

278.3

391.
391.
312.

154.2
H
-6
4 x 10 °
2.8 x 10~6
-f>
7.56 x 10
3.7 x 10"11
6.54 x 10~10
-ft
2.4 x 10 °
_7
3.5 x 10
-8
2.0 x 10

-f>
2.15 x 10
-ft
1.2 x 10
-ft
4.5 x 10
-ft
5.7 x 10
3.0 x 10~7
1.2 x lO'11

9.1 x 10~5
K
oc
•J
2.24 x 10°
6.03 x 104

30.9
51.3
55.

347.

381.

276.


112.
3
1.35 x 10
5
1.95 x 10
0
4.08 x 10
2.24 x 109
.1.95 x-105

5.25 x 103
BCF

672.
1.81 x 104

. 9.28
15;4
16.5

104.

114.

82.7


33.7

405.
4
5.85 x 10
9
1.22 x 10y
6.72 x 108
5.85 x 104

1.58 x 103
f
—1 1
2.41 x 10 ij-
7.01 x 10~13
-10
2.16 x 10 u
7.57 x-10~15
1.26 x 10~13
-11
6.98 x 10
-11
1.25 x 10
-12
1.01 x 10

-10
1.21 x 10 XU
-11 '
1.25 x 10
13
3.50 x 10 *
-17
2.12 x 10
2.03 x 10~18
9.32 x 10~19

1.25 x 10"10

-------
TABLE 3 (cont.)
No. Name
93. Aceriaphthylene
94. Anthracene
95. Benzo(a) anthracene
96. Benzo(b) fluoranthene
97. Benzo(k) fluoranthene
98. Benzo(g,h,i) pefylene
99. Benzo(a) pyrene
100. Chrysene
i_i
M
V 101. Dibenz6(a,h) anthracene
(0
i*>
102. Fluoranthene
103. Fluorene
104. Indeno (1 , 2 , 3-cd) pyrene
105. Naphthalene
106. Phenanthrene
107. Pyrene
IX. Nitrosamines and Other Nitrogen-
Containing Compounds
108. Nitrosamine, Dimethyl- (DMN)
m
152.2
178,0
,228.3
252.3
252.3
276.
252.
228.3.
278.4
202.3
166.2
276.3
128.2
178.2
202.3
- 74.1
H
1.45 x 10~3
1.28 x 10~3
1.0 x 10~6
1.38 x 10~4
3.0 x Kf4
1.44 x IO"2
4.91 x 10~7
1.05 x 10~6
7.3 x 10~8
6.5 x IO"6
1.1 x 10~3
5.87 x IO"10
4.6 x 10~4
2.26 x 10~4
5.1 x.10"6
5.4 x 10~7
K
oc
2.89 x IO3
1.55 x IO4
2.24 x IO5
6.31 x Id5
6.31 x IO5
1.78 x IO6
6.31 x IO5
2.24 x IO5
3.24 x IO6
4.37 x IO4
4.47 x IO3
1.78 x IO6
1.07.x IO3
1.55 x IO3
4.37 x IO4
0;12
BCF
866.
4.65 x IO3
6.72 x IO4
1.89 x IO5
1.89 x IO5
5.34 x iO5
1.89 x IO5
6.72 x IO4
9.72 x IO5
1.31 x IO4
1.34 x IO3
5.34 x IO5
.. 322.
4.65 x IO3
1.31 x IO4
0.035
f
2.33 x 10~10
2.02 x 10" 10
6.76 x 10~14
3.27 x 10~12
6.99 x 10~12
8.12 x 10"11
-14
1.18 x 10
7.10 x Kf 14
3. .41 x 10~16
2.23 x 10~12
2.26 x 10~10
5.00 x 10~18
2.32,x 10~10
2.16 x 10~10
1.75 x 10~12
L.44 x 10~10

-------
                                                TABLE 3  (cont.)
No. Name
109. Nitrosamine, Diphenyl-
110. Nitrosamine, Di-N-propyl-
111. Benzidine
112. Benzidine, 3 , 3-Dichloro-

113. Hydrazine, 1 , 2-Diphenyl-
114. Acrylonitrile
MW
198.2
130.2
184.2
253.1

184.2
53.1
H
1.4 x 10~7
2.8 x 10~8
1.8 x 10~10
2.4 x 10~8
_7
7.4 x 10
70
K
oc
2.69 x IO3
17.0
19.5
525.

17.8
0.46
BCF
808.
5.10
5.85
157.

5.34
0.137
f
7.79 x 10~13
1.02 x IO"11
6.46 x 10~14
6.62 x IO"13
-10
1.29 x 10
2.40 x 10~10
M
I
                                                                    •J
a.  MW = molecular weight (g/mol);  H = Henry's Law constant (atm <• m /mol) ; K.   = soil (and sediment)
    adsorption coefficient based on organic carbon; BCF = bioconcentration factor for aquatic life.
    f calculated from Eq. 16 with M = 100 moles.

         Caution;  A large fraction of the H,  K  . and BCF values are estimates which may
                   differ from the actual values  by one order of magnitude (or more in
                   some cases).   The. values listed here should not be considered as
                   reliable.
      Source:   Draft  report by  SRI,  International  for values of MW, H,  K  ,  and  BCF except as noted in
              Table  2.
                                                                        oc

-------
                                 TABLE 4




Mass (M., Moles) of Chemical in Each Subcompartment Using Level I Approach'
No. Name
I. Pesticides
1. Acrolein"
2. Aldrin
3. o-rBHC
4. 8-BHC
5. Y-BHC (Lindane)
M
M 6. 6-BHC
i
fo
01 7 . Chlordane
8. DDD
9. DDE
10. DDT •
. 11. Dieldrin
12. a-Endosulfan
13. 0-Endosulfan
14. Endosulfan Sulfate,
15 . Endrin
Ml

99.35
8.87
8.09
6.56 x 10"1
10.70
_1
3.03 x 10

3.44
1.52,x 10~4
8.51 x 10"2
2.23 x^lO'2
1.49 x 10~3
96.52
98.15
4.98 x 10~2-
1.29
,M2

6.33 x 10"1
1.88 x 10~2
4.86 x 10~
5.6 x 10"1
4.73 x 10T1
• _i
5.28 x 10

1.32 x 10"2
2.55 x 10~3
4.52 x 10"4
5.08 x 10~4
"1.18
3.48
1.85
99.83
1.16
M3

3.56 x 10~7
2.07 x 10~3
2.08 x 10~3
2.25 x 10~3
2.02 x 10T3
_
2.25 x 10~J

2.19 x 10~3
2.27 x.10"3
2.27 x 10~3
2.27 x 10^3
2.25 x 10~3
4.39 x 10~8
2.33 x 10~8
2.76 x 10~6
2.22 x 10~3
M4

2.38 x 10~3
13.78
13.84
14.97
13.45

15.02

14.62
15.15
15.13
15.14
14.97
2.92 x 10"4
1.56 x 10~4
1.84 x 10~2
14.78-
M5

5.38 x 10~6
3.10 x 10~2
3.11 x 10~2
3.37 x 10~2
3.02 x 10~2

3.38

3.29 x 10~2
3.40 x 10~2
3.39 x 1
-------
TABLE 4 (cont.)
No. Name
16. Endrin Aldehyde
17. Heptachlor
18. Heptachlor Epoxide
19. Isophorone
20. TCDD
(2,3,7, 8-Tetrachlorodibenzo-p-dioxin)
21. Toxaphene

II. PCB's and Related Compounds
22. PCB-1016 (Arochlor 1016)
23. PCB-1221 (Arochlor 1221)
24. PCB-1232 (Arochlor 1232)
25. PCB-1242 (Arochlor 1242)
26. PCB-1248 (Arochlor 1248)
27. PCB-1254 (Arochlor 1254)
28. PCB-1260 (Arochlor 1260)
29. 2-Chloronaphthalene
III. Halogenated Aliphatics
30. Methane, Bromo- (Methylbromide)
Ml
5.0
94.6
3.4
74.7
2.1

100.
i :

9.0
53.3
98.4
94.5
41.5
21.2
86.0
93.2

100.
M2 -
2.8
8.6 x 10~3
8.2
4.7
5.9 x 10~4

1.7 x 10"4


9.8 x 10~3
.16
4.1 x 10~2
1.7 x 10~2
4.2 x 10~3
2.9 x 10"3
4.2 x 10~5
2.8 x 10~2

1.8 x 10~4
M3
2.1 x 10~3
1.2 x 10~4
2.0 x 10~3
4-. 7 x 10~4
2.2 x 10~3

1.9 x 10~7


2.1 x 10"3
1.1 x 10~3
3.6 x 10"5
1.2 x 10~4
1.3 x 10~3
1.8 x 10~3
3.2 x 10~4
1.5 x 10~4

1.2 x 10~9
M4
14 ..0
8.1 x 10"1
13.4
3.1
14.8 x 101

1.3 x 10~3


13.8
7.0
.24
.83
8.9
11.9
2.1
1.0

8.3 x 10"6
M5
3.1 x 10~2
1.8 x 10~6
5.0 x 10~2
7.03 x 10~3
3.3 x 10"2

2.8 x 10~6


3.1 x 10~2
1.6 x 10~2
5.4 x 10~4
1.8 x 10~3
2.0 x 10~2
2.6 x 10~2
4.8 x 10~3
2.4 x 10"3

1.9 x 10~8
M6
78.3
4.5
75.0
17.5
83.0

7.1 x 10~3


77.2
39.5
1.4 '
4.6
49.6.
66.9
12.0
:5.7

4.6 x 10"5

-------
TABLE 4 (cont.)
No. Name
31. Methane, Chloro- (Methylchloride)
32. Methane, Dichloro- (Methylene
chloride)
33. Methane, Chlorodibromo-
34. Methane, Dichlorobromo-
35. l:ethane, Tribromo- (Bromoform)
36. Methane, Trichloro- (Chloroform)
37. Methane, Tetrachloro-
M (Carbon tetrachloride)
M
iU 38.. Methane, Trichlorofluoro-
39. . Methane, Dichlorodifluoro-
40. Ethane, Chloro-
41. Ethane, 1,1-Dichloro-
42. Ethane, 1 , 2-Dichloro-
43. Ethane, 1,1,1-Trichloro- :
44. Ethane, 1,1,2-Trichloro-
45 . Ethane ,1,1,2, 2-Tetrachloro-
46. Ethane, Hexachloro- .
Ml
100.
100.
99.8
100.
99.6
100.
100.
100.
100.
100.
100.
100.
100.
99.8
98.9
, 87.3
M2
9.0 x 10~4
1.2 x 10~2
4.0 x 10~2
2.0 x 10~2
6.6 x 10"2
1.3 x 10~2
1.6 x 10~3
3.3 x 10~4
1.2 x 10~5
2.4 x 10~3
8.5 x 10~3
3.9 x 10~2
1.2 x 10~3
4.9 x 10"2
9.4 x 10~2
1.3 x 10"2
M3
4.4 x 10~9
1.2 x 10~7
3.9 x 10~6
1.4 x 10~6
8.7 x 10~6
6.3 x 10~7
7.8 x 10~7
6.0 x l6~8
8.0 x 10~10
4.1 x-10"8
2.9 x 10"7
6.5 x 10~7
2.1.x 10"7
3.1 x 10~6
2.4 x 10~5
2.9 x 10~4
M4
2.9 x 10~5
8.1 x 10~4
2.6 x 10~2
9.2 x 10~3
5.8 x 10~2
4.2 x 10~3
5.2 x 10~3
4.0 x 10~4
5.3 x 10~6
2.8 x 10~4
2.0 x 10~3
4.4 x 10~3
1.4 x 10~3
2.1 x 10~2
.16
1.9
M5
6.6 x 10~8
1.8 x 10~6
5.8 x 10~5
2.1 x 10~5
1.3 x 10~4
9.6 x 10~6
1.2 x 10~5
8.9 x 10~7
1.2 x 10~8
6.2 x 10~7
4.4 x 10~6
9.8 x 10~6
3.1 x 10~6
4.7 x 10~5
3.5 x 10~4
4.3 x 10~3
Mfi
1.6 x 10~4
4.5 x 10~3
.14
5.2 x 10~2
.33
2.34 x 10~2
2.9 x 10~2
2.2 x 10~3
3.0 x 10"5
1.5 x 10~3
1.1 x 10"2
2.4 x 10"2
7.8 x 10"3
.12
.88
10.8

-------
TABLE 4 (cont.)
No. Name
47. Ethene, Chloro-
(Vinyl chloride)
48. Ethene, 1,1-Dlchloro-
49. Ethene, Trans-dichloro-
50. Ethene, Trichloro-
5i.. Ethene, Tetrachloro-
52. Propane, 1,2-Dichloro-
53. Propane, 1,3-Di.chloro-
H
£ 54. Butadiene, Hexachloro-
i
NJ
00 .55. Cyclopentadiene, Hexachloro-
IV. Ethers
56. Ether, Bis(2-chlorpmethyl)-
57. Ether, Bis(chloroethyl)-
58. Ether, Bis(2-chloroisopropyl>-
59. Ether, 2-chloroethyl vinyl-
60. Ether, 4-Bromophenyl phenyl-
61. Ether, 4-Chlorophenyl phenyl-
62. Bis(2-chloroethoxy) methane
Ml
100.
100.
100.
100.
99.96
100.
100.
100.
100.
99.8
95.6
98.7
34.2
. .12
44.8
44.8
M2
1.8 x 10~7
2.3 x 10~4
5.23 x 10~4
4.06 x 10" 3
1.80 x 10~3
1.6 x 10~2
2.7 x 10~2
1.4 x 10~3
2.2 x 10~3
.17
2.6
.32
49.3
3.4 x 10~2
7.4 x 10"2
7.4 x 10~2
M3
1.7 x 10~12
8.6 x 10~9
5.0 x 10~9
1.5 x 10"7
6.49 x 10~7
9.0 x 10~7
8.0 x 10~7
1.4 x 10~6
2.3 x 10~6
2.3 x 10~?
4.2 x 10~5
2.2 x 10~5
3.7 x 10~4
2.3 x 10"3
1.3 x 10~3
1.3 x 10~3
M4
1.1 x 10~8
5.7 x 10~5
3.3 x 10~5
1.0 x 10~3
4.33 x 10~3
6.0 x 10~3
5.3 x 10~3
9.4 x 10~3
1.6 x 10~2
1.5 x 10~3
.28
.15
2-. 5
15.1
8.4
8.4
M5
2.5 x 10"11
1.3 x 10~7
7.5 x 10~8
2.3 x 10~6
9.01 x 10~6
1.3 x 10~5
1.2 x 10~5
2.1 x 10~5
3.5 x 10~5
3. 4 x 10~6
6.3 x 10"4
3.4 x 10~4
5.6 x 10~3
3.4 x 10~2
5.3 x 10~2
5.3 x 10~2
M6
6.4 x 10~8
3.2 x 10~4
1.9 x 10~4
5.6 x 10~3
2.42 x 10"2
3.4 x 10~2
3.0 x 10~2
5.3 x 10"2
8.8 x 10~2
8.4 x 10"3
1.6
.84
14.0
84.7
46.8
46.8

-------
                                                    TABLE 4 (cont.)
N>
VO
No. - Name
V. Monocyclic Aromatics (Excluding
Phenols. Cresols, Phthalates)
63. Benzene
64. Benzene, Chloro-
65. Benzene, 1,2-Dichloro-
66. Benzene, 1 , 3-Dichloro-
. 67. Benzene, 1,4-Dichloro-
68. Benzene, 1,2,4-Trichloro-
69. Benzene, Hexachloro-
70. Benzene, Ettiyl-
71. Benzene, Nitro-
72. Toluene .
73. Toluene, 2,4-Dinitro-
74. Toluene, 2,6-Dinitro-
VI, Phenols and Cresols
75. Phenol
76. Phenol, 2-Chloro-
77. Phenol, 2,4-Dichloro-
Ml
100.
' 99.8
98.4
99.1
99.0
93.4
2.9
99.7
92.9
99.9
68.9
79.6
42.3
86.0
27.7
M2
6.6 x 10"3
1.0 x 10~2
1.8 x 10~2
9.9 x 10~3
1.2 x HT2
1.5 x 10~2
1.5 x 10~3
5.5 x 10~3
2.6
7.0 x 10~3
5.5
3.6
33.6
3.0
3.6
M3
4.9 x 10~7
3.8 x 10~6
3.7 x 10~5
2.0 x 10~5
2.3 x 10~5
1.5 x 1Q~5
2.2 x 10~3
6.6 x 10~6
1.0 x 10~4
2.4 x 10~6
5.8 x 10"4
3.8 x 10~4
5.4 x 10~4
2.5 x 10~4
1.6 x"10~3
M4
3.2 x 10~3
2.5 x 10~2
.25
.13 .
.15
1.0
14.7
4.4 x 10~2
.70
1.6 x 10~2
3.9
2.5
3.6
1.7
10.4
M5
7.3 x 10"6
5.7 x 10~5
5.5 x 10~4
3.0 x 10~4
3.4 x 10"4
2.2 x 10~3
3.3 x 10~2
9.9 x 10~5
1.6 x 10~3
3.6 x 10~5
8.7 x 10~3
5.7 x 10~3
8.2 x 10~3
3.8 x 10"3
2.3 x 10"2
M6
1.8 x 10"2
.14
1.4
.74
.86
5.6
82.4
.24
3.9
8.8 x 10"2
21.7
14.2
20.3
9.3
58.3

-------
                                                    TABLE 4 (cont.)
H
M
U>  '
O
No. Name

78. Phenol, 2,4,6-Trichlqro-
79. Phenol, Pentachloro-

80, Phenol, 2-Nitro-
81. Phenol, 4-Nitro-
82. Phenol, 2,4-Dinitro-
83. Phenol, 2,4-Dimethyl
84. m^Cresol, p-Chloro-
85. o-Cresol, 4,6-Dinitro-
VII. Phthalate Esters
86. Phthalate, Dimethyl-
87. Phthalate, Diethyl-
88. Phthalate, Di-N-butyl
89. Phthalate, Di-N-octyl
90. Phthalate, Bis(2-ethylhexyl)-
.91. Phthalate, Butyl benzly-
VIII. Polycyclic Aromatic Hydrocarbons
92. Acenaph thene
Ml

10.0
.29

89.9
3.1 x 10~3
5.2 x 10"2
29.0
5.2
.42

50.1
5.2
.15
8.8 x 10~6
8.4 x 10~7
3.9 x 10" 7

52.0
M2

.90
3.8 x 10~2

4.3
30.7
29.2
4.4
5.3
7.6

8.4
1 1.6
.12
5.6 x 10~7
1.0 x 10~6
1.2 x 10~6

.21
M3
-3
2.0 x 10
2.3 x 10~3
-4
1>3 x 10
1.6 x 10"3
1.6 x 10~3
1.5 x 10~3
2.0 x 10~3
2.1 x 10~3

9.4 x 10~4
2.1 x 10~3
2.3 x 10~3
2.3 x 10~3
2.3 x 10~3
2.3 x 10~3

1.1 x 10~3
M4-

13.5
15.1

.88
10.5
10.7
10.1
13.6
13.9

6.2
14.1
15'. 1
15.1
15.1
15.1

7.2
M-5
_2
3.0 x 10
3.4 x 10"2
_3
2.0 x 10
2.4 x 10~2
2.4 x 10~2
2.3 x 10~2
3.0 x 10~2
3.1 x 10~2

1.4 x 10"2
3.2 x 10~2
3.4 x 10~2
3.4 x 10~2
3.4 x 10"2
3.4 x 10"2

1.6 x 10~2
Mfi

75.6
84.5

4.9
58.8
60.0
56.5
75.9
78.0

35'. 2.
79.1
84.7
84.8
84.8
84.8

40.4

-------
TABLE 4 (cont.)
No. Name
93. Acenaphthylene
94. Anthracene
95. Benzo(a) anthracene
96. Benzo(b) fluoranthene
97. Benzo(k) fluoranthene
98. Benzo(g,h,i) perylene
99. Benzo(a) pyrene
100. Chrysene
101. Dibenzo(a,h) anthracene
102. Fluoranthene
103. Fluorene
104. Ihdeno(l,2,3-cd) pyrene
105. Naphthalene
106. Phenanthrene
107. Pyrene
IX. Nitros amines and Other Nitrogen-
Containing Compounds
108. Nitrosatnine, Dimethyl- (DMN)
Ml
96.9
83.9
2.8 x 10~2
1.4
2.9
33.8
4.9 x 10~3
3.00 x 10~2
1.4 x 10~4
.93
93.9
2.1 x 10~6
96.4
90.0
.73
59.8
M2
2.4 x 10~2
2.4 x 10~2
1.0 x 10~2
3.6 x 10~3
3.5 x 10"3
8.5 x 10~4
3.6 x 10~3
1.0 x 10~2
7.0 x 10~4
5.1 x 10~2
3.1 x 10~2
1.3 x 10~3
7.6 x 10~2
.14
5.2 x 10~2
40.0
M3
7.0 x 10~5
3.7 x 10~4
2.3 x 10~3
2.2 x 10~3
2.2 x 10"3
1.5 x 10~3
2.3 x 10~3
2.3 x 10~3
2.3 x 10~3
2.2 x 10~3
1.4 x 10~4
2.3 x 10~3 '
8.1 x 10"5
2.2 x 10~4
2.3 x 10"3
4.8 x 10~6
M4
.46
2.4
15.1
14.9
14.7
10.0
15.1
15.1
15.1
15.0
.92
15.1
5.4 x 10"1
1.5
15.0
3.2.x 10~2'
"3
1.0 x 10~3
5.5 x 10~3
3.4 x 10~2
3.4 x 10~2
3.3 x 10~2
2.3 x 10~2
3.4 x 10~2
3.4 x 10~2
3.4 x 10'2
3.4 x 10~2
2.1 x^lO~3
3.4 x 10~2
1.2 x 10~3
3.3 x 10~2
3.4 x 10~2
7.0 x 10~5
M6
2.6
13.7
83.7
83.7
82.3
56.2
84.8
84.8
84.8 ;
84.0
5.1
84.8
3.0
84.2
84.2
.18

-------
                                                  TABLE 4 (cont.)
M
M
I
U)
M
No . Name
109. Nitrosamine, Diphenyl-

110. Nitrosamine, Di-N-propyl-
111. Benzidine
112. Benzidine, 3 , 3-Dichloro-
113. Hydrazine, 1 , 2-Diphenyl-
114. Acrylonitrile
Ml
.32

4.3
2.7.x 10"2
.28
53.5
100. .
M2
.83

54.8
53.8
4.1
26.1
5.2 x 10"7
M3
2.2 x 10"-3
-4
9.3 x 10
1.0 x 10~3
2.2 x 10~3
4.6 x 10~4
2.7 x 10"13
M4
15.0

6.2
7.0
14.5
3.1
1.6 x 10~9
M5
3.4 x 10~z
_2
1.4 x 10
1.6 x 10~2
3.2 x 10~2
7.0 x 10~3
3.5 x 10~12
M6
83.8

34.8
39.2
81.1
17,3
8.8 x 10~9
a.
Calculated from Eq. 21 with M - 100 moles.   Thus, the individual M  values (in moles) are equivalent
to the percent in each subcompartment.   The subscripts on M identify the environmental
subcompartments as follows:
                                1.  Air

                                2.  Surface water

                                3.  Suspended sediments
                                                         4.  Bottom sediments

                                                         5.  Aquatic biota

                                                         6.  Soils

-------
                               TABLE 5

Calculated Concentrations (ppt) of Chemicals in Each Subcompartment
                      Using Level I Approach2
No. Name
I. Pesticides
1. Acrolein
2. Aldrin
3. a-BHC ,
4. 8-BHC ...'..
5. Y-BHC (Lindane)
6. 5-BHC
7. Chlordane
8. DDD ! .
9. DDE
10. DDT-
11. Dieldrin
12. ot-Endosulfan
13. 8-Endosulfan
14. Endosulfan Sulfate
15. Endrin.
«;"-
240.
210.
19.
1.6
26.
7.3 x 10~l
8.3
3.6 x 10~4
..20
5.3 x 10~2
3.6 x 10~3
230.
240.
- .12
3.1
C2
240.
46.
940.
1000.
920.
1000.
36.
5.4
.96
1.2
3000.
940.
5000.
'2.8 x 105
3000.
C^ and C£
13.
5.0 x 105
4.0 x 105
4.4 x 105
3.9 x 105
4.4 x 105
5.9 x 105
4.8 x 105
4.8 x 105.
5.4 x 105
5.7 x 105
12.
6.3
780.
5.6 x 105
C5
40. ' '
1.5 x 106
1.2 x 106
1.3 x 106
1.2 x 106
1.3 x 106
1.8 x 106.
1.5 x 106
1.4 x 106 i
1.6 x 106
1.7 x lO6
36.
19.
2300.
1.7 x lO6
C6.
2.7
1.0 x 105
8.1. x 104
8.7 x 104
7.8 x 104
8.7 x 104
\
1.2 x 105
9.7 x 104
9.6 x 104
1.1 x 105
1.1 x 105
' 2.4
1.3
160.
1.1 :x 105

-------
TABLE 5 (cont.)
No. Name
. 16. Endrin Aldehyde
17. Heptachlor
18. Heptachlor Epoxide
19. Isophorone
20. TCDD
(2,3,7, 8-Tetrachlorodibenzo-p-dioxin)
21, Toxaphene
II. PCB's and Related Compounds
S 22. PCB-1016 (Arochlor 1016)
r
£ 23. PCB-1221 (Arochlor 1221)
24. PCB-1232 (Arochlor 1232)
25. PCB-1242 (Arochlor 1242)
26. PCB-1248 (Arochlor 1248)
27. PCB-1254 (Arochlor 1254)
28. PCB-1260 (Arochlor 1260)
29. 2-Chloronaphthalene
III. Halogenated Aliphatics
30. Methane, Bromo- (Methylbromide)
Ci
12.
230.
8.2
180.
. 5.1
240.
220.
130.
240.
230.
100.
51.
210.
• 220.
240.
C2
7000.
220.
2.1 x 104
4.3 x 103
1.3
.47
17.
210.
64.
31.
8.3
6.4
.10
30.
.12
C' and C?
5.3 x 105
3.0 x 104
5.2 x 105
4.3 x 104
4.8 x 105
52.
3.6 x 105
1.4 x 105
5600.
2.2 x 104
2.7 x 105
3.9 x 105
8.1 x 104
1.7 x 104
7.8 x 10T2
C5
1.6 x 106
91.
1.6 x 106
1.3 x 105
1.4 x 106
160.
1.1 x 106
4:3 x 105
1.7 x 104
6.4 x 104
7.9 x 105
1.2 x 106
2.4 x 105
5.1 x 104
- 24
C6
1.1 x 105
6.1 x 103
1.0 x 105
• 8.6 x 103
9.5 x 104
10.
7.1 x 104
2.8 x 104
1100.
4.4 x 103
5.3 x 104
7.8 x 104
1.6 x 104
3000.
1.6 x 10~2

-------
                                                     TABLE 5 (cent.)
w
u>
No. Name
31. Methane, Chloro- (Methylchloride)
32. Methane, Dichloro- (Methylene
chloride)
33. -Methane, Chlorodibromo-
34. Methane, Dichlorobromo-
35. Methane, Tribromo- (Bromofonn)
36. Methane, Trichloro- (Chloroform)
37. Methane, Tetrachloro-
(Carbon tetrachlorlde)
38. • Methane, Trichlorofluoro-
39. Methane, Dichlorodifluoro-
40. Ethane, Chloro-
41; Ethane, 1,1-Dichlpro-
42. Ethane, 1 , 2-Dlchloro-
43. Ethane, 1,1,1-Trichloro-
44. Ethane, 1,1,2-Trichloro-
45. Ethane, 1,1,2,2-Tetrachloro-
46. Ethane, Hexachloro-
Ci
240.
240.
. .240.
240.
240.
240.
240.
240.
240.
240.
240.
240. '
240.
240.
240.
210.
C2
.30
6.9
56.
22.
110.
10.
1.6
.30
9.8 x 10" 3
. 1.0
5.6
26.
1.1
43.
110.
20.
C' and C'
.15
6.9
540. ..
150.
1500. -•-'";
50.
. 80. ' 	 - :- --
' 5.5
6.4 x 10~2
1.8 ""
19.
43.
19.
280.
260.
-4.6 x 104
C5
.45
21.
1600.
450.
4400.
150.
—240.
16.
-.19
5.3
58.
130.
56.
840.
7900.
1.4 x 105
C6
3.0 x 10~2
1.4
110.
30.
- 290.
10.
16.
1.1
.1.3 x 10~2
.36
3.9
8.6
3-7
56.
530.
9.1 x 103

-------
                                                  TABLE 5  (cont.)
H
I
w
No. Name ,
47. Ethene, .Chloro-
(Vinyl chloride).
48. Ethene, 1 , 1-Dichloro-
49. Ethene, Trans-dichloro-
50. Ethene, Trichloro-
51. Ethene, Tetrachloro-
52. Propane, 1,2-Dichloro-
'53. Propene, 1 , 3-Dichloro-
54. Butadiene, Hexachloro-
55. Cyclopentadiene, Hexachloro-
IV. Ethers
56. Ether, Bis(2-chloromethyl)-
57. Ether, Bis(chloroethyl)-
58. Ether, Bis(2-chloroisopropyl)-
59. Ether, 2-chloroethyl vinyl-
60. Ether, 4-Bromophenyl phenyl-
61. Ether, 4-Chlorophenyl phenyl-
62. Bis(2-chloroethoxy) methane
C£ b
240.
240.
240.
240.
240.
240.
240.
240.
240.
240.
230.
240.
82.
.30
100.
97.
C2
7.6 x 10~5
.15
.34
3.5
2.00
12.
20.
2.4
4.1
130.
2500.
370.
3.5 x 104
57.
100.
5.4 x 104
C^ and C",
7.1 x 10"5
.55
.32
.13.
72.
68.
59.
240.
430.
17.
4000.
2600.
2.7 x 104
3.8 x 105
1.7 x 105
3.2 x 104
c;
2.1 x 10~4
1.7
.97
40.
200.
200.
180.
.730.
1300.
52.
1.2 x 104
7700.
8.0 x 104
1.1 x 106
1.4 x 106 .
9.6 x 104
Cfi
1.4 x 10~5
.11
6.5 x 10~2
2.6
14.
14.
12.
49.
85.
3.5
800.
510.
5.3 x 103
7.5 x 104
3.4 x 104
6400.

-------
TABLE 5 (cont.)
No. Name
V. Monocyclic Arotnatics (Excluding
Phenols, Cresols, Phthalates)
63. Benzene
64. Benzene, Chloro-
65. Benzene, 1,2-Dichloro-
66. Benzene, 1 , 3-Dichloro-
67. Benzene, 1,4-Dichloro-
68. Benzene, 1,2,4-Trichloro-
H
H 69. Benzene, Hexachloro- :
u> • , ' • .
70. Benzene, Ethyl-
71. Benzene, Nit ro-
72. Toluene ;
73. Toluene, 2,4-Dinitro-
74. Toluene, 2,6-Dinitro-
VI. Phenols and Cresols • ;
75. Phenol
76. Phenol, 2-Chloro-
77. Phenol1, 2 , 4-Dichloro-
Cl
240.
240,
240.
240.
240.
220.
6.9
240. '
220.
240.
170.
190.
100.
210.
67,
C2
3.4
7.5
: 18.
9.7
11.
18.
2.9
3.9
2100..
.4.3
6700.
4400.
2.1 x 104
2600.
3900.
C' and C£
25.
290.
3600.
1900.
2300.
1.8 x 104
4.2 x 105
460.
8600.
150.
7.0 x 104
4.6 x 104
3.4 x 104
2.1 x 104 .
1.7 x 105
C5
76.
860.
1.1 x 104
5800.
6800.
5.4 x 104
1.3 x 106
140Q.
2.6 x 104
" ' 440.
2.1. x 105
1.4 x 105
' 1.0 x 105
6.4 x 104
5.1 x 105
r'
L6
5.1
57.
720.
390.
450.
3600.
8.4 x 104
93.
1700.
29.
1.4 x 104
9300
6.8 x 103
4300. '
3.4 x 104

-------
TABLE 5 (cont.)
No. Name
78. Phenol, 2,4,6-Trichloro-
79. Phenol, Pentachloro-
80. Phenol, 2-Nltro-
81. Phenol, 4-Nitro-
. 82. Phenol, 2,4-Dinitro-
83. Phenol, 2,4-Dimethyl
84. m-Cresol, p-Chloro-
H 85. o-Cresol, 4,6-Dlnitro-
H
tl> VII. Phthalate Esters
00
86. Phthalate, Dimethyl-
87. Phthalate, Diethyl-
88. Phthalate, Di-N-butyl
89. Fnthalate, Dl-N-octyl
90. Phthalate, Bis(2-ethylhexyl)-
91. Phthalate, Butyl benzly-
VIII. Polycyclic Aromatic 'Hydrocarbons
92. 'Acenaphthene
Cib
24.
.70
220.
7.6xlO"3
.13
70 :
12.
1.0
120.
13.
.35
2.1xlO~5
2.0xlO~6
9. 3x10 ~7
130.
r'
C2
1200.
67.
4000.
2.8 x IO4
3.6 x IO4
3600.
'5000.
1.0 x IO4
1.1 x IO4
2300.
22.
1.5 x 10~3
2.6 x 10~3
24.
210. .
C' and C'
2.7 x IO5
4.0 x IO5
1.2 x IO4..
1.5 x IO5
2.0 x IO5
1.2 x IO5
1.9 x IO5
2.8 x IO5
1.2 x IO5
3.2 x IO5.
4.2 x IO5
5.9 x IO5
5.9 x IO5
4.7 x IO5
1.1 x IO5
C5 :
8.0 x IO5
1.2 x IO6
3.7 x IO4
4.4 x IO5
5.9 x IO5
3.7 x IO5
5.8 x IO5
8.3 x IO5
3.7 x IO5
9.4 x IO5
1.3 x IO6
1.8 x IO6
1.8 x io6 :
1.4 x io6 :
3.4 x.105 . ,
C6
5.3 x IO4
8.0 x IO4
2500.
2.9 x IO4
3.9 x IO4
2.5 x IO4
3.9 x IO4
5.5 x IO4
2.4 x IO4
6.3 x IO4
8.4 x IO4
1.2 x IO5. ;
1.2 x IO5 :
9.5 x IO4
2.2 x IO4

-------
TABLE 5 (cont.)
No. Name
93. Acenaphthylene
94. Anthracene
95. Benzo(a) anthracene
96. Benzo(b) fluoranthene
97. Benzo(k) fluoranthene
98. Benzo(g,h,i) perylene
99. Benzo(a) pyrene
100. Chrysene
101. Dibenzo(a,h) anthracene
102. Fluoranthene
103. Fluorene
104. Indeno(l,2,3-cd) pyrene
105. Naphthalene
106. Phenanthrene
107. Pyrene
IX. Nitr os amines and Other Nitrogen-
Containing Compounds
108. Nitrosamine, Dimethyl- (DMN)
'ib
230.
200.
6.7 x 10~2
3.3
7.0
.81.0
1.2 x 10~2
7.1 x 10~2
3.. 4 x 10~4
2.2
230.
5.0 x 10~6
-230.
220.
•1.8
140.
C2
250.
28.
15.
6.0
5.9
1.6
6.0
15.
13.
' 69.
.34. .. .
2.4
65.
170.
70.
2.0 x 104
C" and C£
7100.
4.3 x 104
3.5 x-105
. 3.8 x 105
3.7 x 105
2.8 x 105
3.8 x 105
3.5 x 105
4.2 x 105
3.0 x 105
1.5 x 104
4.2 x 105
6.9 x 103
2.6 x 104
3.0 x 105
240.
C5
2.1 x 104
1.3 x 105
1.0 x 106
1.1 x 106
1.1 x 106
8.3 x 105
1,1 x 106
1.0 x 106
4.2 x 105
9.1 x 105
4,6 x 104
4.2 x 105
2,1 x 104,
7.9 x 105
9.1 x 105
690.
%
1400.
8700.
6.9 x 104
7.5 x 104
7.4 x 104
5.5 x 104
7.6 x'lO4
6.9 x 104
8.4. x 104
.6.1 x 104 .
3.0 x 103
8.4 x 104
i.4 x 103
5.3 x 103
6.1 x 104
47.'

-------
                                           TABLE 5  (eont.)
No. Name
109. Nitrosamine, Diphenyl-
: 110. Nitrosamine, Di-N-propyl-
111. Benzidine
112. Benzidine, 3,3-Dichloro-
113. Hydrazine, 1,2-Diphenyl-
114. Acrylonitrile
M
c- b
Cl
.78
. 10.
6.4 x 10~2
.66
130.
240.
C2
1100.
4.8 x 104
6.6 x 104
7000.
3.2 x 104
1.8 x 10~4
C' and C£
3.0 x 105
8.1 x 10
1.3 x 105
3.7 x 105
5.7 x 104
8.4 x 10~6
r"
L5
8.9 x 105
2.4 x 105
.3.9 x 105
1.1 x 106 '
1.7 x 105
2.5 x 10~5
C6
5.9 x 104
1.6 x 104
2.6 x 104
7.3 x 104
1.1 x 104
1.7 x 10~6
w
V a. Calculated from Eqs. 24-29. C£ is in units of ppt (vol/vol) ; all other values are in units of ppt
o (wt/wt). Calculations assume 100 moles of the chemical are contained within the total environmental
    compartment.   The  subscripts on C identify the environmental subcompartments  as  follows:
                          1.  Air

                          2.  Surface water

                          3.  Suspended sediments
4.  Bottom, sediments

5.  Aquatic biota

6.  Soils
    Note that concentration ratios are independent of the total mass in the environment and the volumes
    of the individual subcompartments.


                                         •3                        '
b.  To .convert air concentrations to ng/m ,  multiply the value of C-, given here by MW/24.

-------
               ',  IV.   CALCULATIONS  USING NEELY'S  APPROACH

A.    Basis for Approach
      Researchers at the Dow Chemical Co. (Midland, MI) have investigated
the distribution of a number of chemicals after placement in a simulated
aquatic/terrestrial ecosystem (Neely, 1978a, 1978b).  A scenario (Blau
and Neeley, 1975; Neely and Blau, 1977) was used involving the introduc-
tion of 0.15 g/hr of the test chemical into the ecosystem for a-30-day
period (Neely, 1978c).  This was followed by a 30-day clearance period.
The percent of .the test chemical in air, water and soil was determined
after the first 30-day period.  The half-life for clearance from fish was
determined during the 30-day clearance period.   A brief  description of
the ecosystem  used .in these tests  is shown  in Table 6.

      The test set of chemicals used, along with their relevant properties,
are shown  in  Table  7.   The percent of  each  chemical found  in water, soil,
and air -  and the  fish  clearance rate  -  are shown in  Table 8.

      Four regression, equations were found  to describe the results  of these
tests in a statistically significant manner.  They are:

      % in Air   •  -0.247(1/H) +  7.9 log S + 100.6                    (30)
      % in Water -  0.054U/H) -1-1.32               '                   (31)
      % in Soil  =  0.194(1/H) -7.65 log S - 1.93                      (32)
      log t1/2   -  0.0027(1/H) -0.282 log  S + 1.08                    (33)
where H    =  Henry's Law Constant = PV /S
      S    =  water solubility (mM/L)*
      P    =  vapor pressure (mm Hg)
      fcl/2  =  half-life for clearance from  fish in ecosystem  (hr)
         To  convert  values  of S from mg/L (e.g.,  the values in Table 6)
to mM/L, divide by the molecular weight.

                                    IV-1

-------
                             Table 6
         Description of the Model.Ecosystem Used by Neely

            Parameter    .                    -         Values

                                                          8   3
      Volume of Water                             3.6 x 10  cm
      Average depth of water                          89 cm
      Total weight of soil                        1.5 x 10 7 ga*
      % organic matter in soil                       0.13%
      Total weight of fish                           8,580g
      Weight of average fish                           15g

      Rate of chemical addition                     0.15 g/hr
                                                       s
      Duration of chemical addition                  30 days
      Clearance period                               30 days

                                                                2
a.  This is based on a conversion factor of 3.7 g of soil per cm  for
    a 2.5 cm layer.

Source:  Neely (1978c)

-------
                               Table  7

             Properties of a Series of Chemicals Tested  in
                    the.Simulated Aquatic Ecosystem

Toluene
p-Dichlorobenzene
Tr ichloroben zene
Hexachlorobenzene
Diphenyl
Trichlorobiphenyl
Tetrachlorobiphenyl
Pentachlorobiphenyl- •
DDT
Perchloroethylene
Molecular •
Weight
92
147
180
285
154
256
291
325
350 '
166
Vapor Water "
- Pressure . Solubility
(nun Hg) (ppm)
- 30 ." 470
1 . ' 79
0.5 . -30
M0~5 • • . '• • 0.035
9.7 x 10~3 ' 7.5
1.5 x 10~3 . 0.05 •
4.9 x 10~4 6.05
7.7 x 10"5 0.01
10~7 . 1.2 x 10~3
14 150
Source:  Neely (1978a).
                                 iv-:

-------
                              Table 8

   Distribution of the Chemicals Shown in Table 7 in the Various
             Compartments of the Simulated Ecosystem
Chemical
Toluene
p-Dichlorobenzene
Trichlorobenzene
Hexachlorobenzene
Diphenyl
Tr i chlo rob ipheny 1
Te t r achlo rob ipheny 1
Pentachlorobiphenyl
DDT
Perchloroethylene
Water, %
0.9 (1.33)b
.1.24 (1.31)
1.33 (1.34)
3.57 (1.98)
2.27 (1.59)
1.38 (1.33)
1.5 (1.34)
1.5 (1.34)
1.26 (3.17)
1 (1.32)
Soil, %
0.4 (MD)
1.28 (0.24)
2.06 (4.09)
39.4 (31).
5.4 (9)
15.2 (26)
17 (27)
21 (33)
67.5 (46.5)
1 fcO)
Air, %
98.6 (VLOO)
97.5 (98) .
96 (94)
56 (68)
92.2 (89)
83 (71)
81 (71)
77 (65)
28 (49)
98 (100)
•t1/2 from
fish3, h
10 (7.,6)
15 (H)
17 (20)
162 (164)
27 (29)
96 (134)
104 '(139)
229 (226)
915 (517)
14 (12)
This is the time for clearance from the fish in the simulated aquatic
ecosystem once addition of chemical was terminated.


The numbers in parenthesis were estimated from the regression equations.

Source:  Neely (1978a)
                                IV-4

-------
Table  8  shows  the predicted  percentages  (and  t- ,2 values)  for the test
set  of chemicals used by Dow.

                     '
      It should be pointed out that the use of Equations 30 to 33 were
not Intended by Neely to provide the user with quantitative predictions of
environmental concentrations that would be an end in themselves.  These
regression equations were proposed as part of a decision tree (Neeley,
1978a)  which can lead the user to a decision on what, if -any, additional
environmental tests should be carried out on a chemical of concern.  The
percent values calculated are simply used to rank a chemical with regard
to its potential as an air,* water, soil, and/or aquatic biota pollutant.
The decision tree proposed by Neely (1978a) included the" following cut-
off points :

Compartment         . .If               .    Tests to 'be Conducted
    Air             >90%           Photodegradation; model- impact "on
                                   stratosphere
    Water            >2%           Degradation (chemical and biological)
                                   in water
    Soil             >4%           Degradation (chemical and biological)
                                   in soils
    Fish          ti/2 ^OO hrs.   Bioconcentration factors in aquatic
                                   biota; metabolic degradation/elimination.
      The decision tree also involves considerations of the use pattern
(e.g., confined vs dispersive) of the chemical and its physical form
(polymers are given a low ranking) .                      .

      A final comment on Equations 30-33 is required.  This set of equa-
tions has been normalized so that the sum of the percentages in air,
water and soil should sum to approximately 100% for any chemical.  While
it is recognized that, in reality, the percent in any one compartment
cannot be >100 or <0%, the regression equations may yield values outside
these values for some chemicals.  This is to be expected due to a combina
                                    IV-5

-------
 tion of experimental errors and the inability of the relatively-simple
 regression equations to explain allof the variability in the measured
 data.
B.     Sample  Calculations
      The test set of compounds selected for use is shown in Table 9
along  with  the  input  data  required  for  each  chemical.   These  input  data
were obtained from a  draft report by  SRI,  International (Menlo Park,  CA).
The test  set  consists of twenty  chemicals  representing a variety of
chemical  classes.

       Equations 30 to 33 were  applied to each of  the  test chemicals.
The results are shown in Table 10.   Underneath the calculated values for
%  in air, water and soil are the corresponding values (M.., M  and Mfi,
respectively)  from the Level I fugacity calculations  (Table 4).

       The results of the Neely approach shown in Table 10 are somewhat
disturbing  if attention is focused  on the  unrealistic percentages associ-
ated with some  chemicals.   Percentages  <0% or >100% were associated with
nearly one-half of the  test set  (9 out of 20 chemicals).  The "Total %"
value  is  unrealistic  for only  one chemical,  2,4-dinitrophenol.

       If, however, the numbers in Table 10 are only used - as described in
A  above - to  decide if  additional tests are  required, then the results atfe
meaningful  for  essentially the whole  test  set.  The chemicals that  exceed
the cut-off points associated  with  Neely1s decision tree are  listed below.
                      (Text continues on page IV-12)
                                    1V-6

-------
                      Table  9
Chemicals and Input Data Used with Neely's  Equations
No. Name
I. Pesticides
2. Aldrin
5. Y-BHC (Lindane)
17. Heptachlor
II. PCB's and Related Compounds
23. PCB-1221 (Arochlor 1221)
24. PCB-1260 (Arochlor 1260)
III. Halogenated 'Aliphatics
32. Methane, Dichloro-
(Methylene chloride)
48. Ethene, 1,1-Dichloro
54. Butadiene, Hexachloro
IV. Ethers
56. Ether, Bis(2-chloromethyl)-
61. Ether, 4-chlorophenyl phenyl-
V. Monocylic Aromatics (Excluding Phenols',
Cresols, Phthalates)
67. Benzene, 1,4-Dichloro •
73. Toluene, 2,4-Dinitro
MW •
(g)
365
291
373.5
200.7
375.7
84.94
96.94
260.79
115
204.66
. 147.01
182 . 14
Pvp
(mm Hg)
6 x 10"6
1.6 x 10~4
3.0 x 10~4
6.7 x 10~3 .
4.05 x 10~5
362.4
591
0:15 "•
30
2.7 x 10~3..
1.18 • ;
5.1 x 10~3 .
S
(mg/L)
.017
7.52
0.056
15
.0027
20,000
• 400
2
2.2 x 104
3.3
79
270
1/H
(mm Hg*m3/mole)
7.76
161.51
.50
11.2
1..77 x lO'1
6.50 x 10"1
6.98 x 10~3
5.1 x 10~2
6.38
5.97,
4.55 -x lO'1 .
290.7 .

-------
Table 9 (continued)
No . Name
VI Phenols and Cresols
77. Phenol, 2,4-Dichloro-
82. Phenol, 2,4-Dinitro-
VII. Phthalate Esters.
87. Phthalate, Diethyl-
90. Phthalate, Bis(2-Ethylhexyl)-
VIII. Polycylic Aromatic Hydrocarbons
93. Acenaphthylene
99. Benzo(a)pyrene
105 . Naphthalene
IX. Nitrosamines and Other Nitrogen-Containing
Compounds
114. Acrylonitrile
MM
(g)

163
184.1
222.2
391
152.2
252
; 128.2
I
^53.1
P
vp
(mm Hg)

5.9 x 10"2
1.49 x 10"5
3.5 x 10~3
2 x 10~7
2.9 x 10~2
5.6 x 10~9
8.7 x 10~2
100
S
(mg/L)

4.6 x 103
5.6 x 103
896
0.4
3.93
3.8 x 10"3
31.7
7.9 x 104
1/5
(mm Hg- , /mole)

478.3
2.04 x 10"1"6
1.15 x 103
5.12 x 103
.89
2.69 x 103
2.84
14.88

-------
                                                         Table 10
                                  Results of Calculations Using the Neely Approach3
No . Name
I. Pesticides
2 . Aldrin
5. Y -BHC (Lindane) •
17. Heptachlor . .
II. PCB's and Related Compounds
23, PCB-1221 (Arochlor) 1221
28. PCB-1260 (Arochlor) 1260
III. Halogenated Allphatics
32. Methane, .Dichloro-
• (methylene chloride)
48. Ethene,l,l-Dichloro-
54. Butadiene, Hexachloro
% in Air
.64.5
(8.87)a
48.2
(10.7)
70.3
(94.6)
88.9
(53.3)
59.9
(86.0)
119.2
(-xlOO)
105.5
(^100)
83.9
(VLOO)
% in Water
1.7
(0.02)a
10.0
(10.47)
1.3
(0.009)
1.9
(0.16) - .
1-* -5
(4 x 10 °)
1.4
(0.01)
1.3
(2 x 10~4)
1.3
(0.001)
% in Soil
32.7
(77.3)a
41.5
(75.3)
27.4
(4.5)
8.9
(39.5)
37.5
(12.0)
-19.9 ,
(4 x 10"J)
-6.6
(3 x 10 4)
14.3
(.05)
Total %
98.9
99.7
99.0
99.7
98.7
100.6
100. 0
99.5
fcl/2 ^hrs'^
210.2
92.0
144.4
26.8
339.6
2.6
8.1
47.5
f
VO

-------
                                                        Table  10  (continued)
No. Name
IV. lEthers
56. Ether, Bis (2-Chloromethyl)
i
61. Ether, 4-Chlorophenyl Phenyl-
i
V. Monocylic Aromatics (Excluding
Phenols, Cresols, Phthalates)
'67. Benzene, 1 , 4-Dichloro-
•
73. Toluene, 2,4-Dinitro-
i
VI. Phenols and Cresols
77. Phenol, 2,4-Dichloro-
82. Phenol, 2,4-Dinitro-
VII. Phthalate Esters
87. Phthalate, Diethyl-
90. Phthalate, Bis(2-ethylhexyl)
% in Air
117.1
(99.8)
85.0
(44.8)
98.4
(99.0)
30.2
(68.9)
-6.1
(27.7)
-5.0 x 105
(0.05)
-179.2
(5.2)
-1190
(8 x 10-7)
% in Water
% in Soil
1.7 -18.1
(0.17) (0.008)
1.6 12.9
(7.4 x 10"2) (46.8)
1.3 -22
(0.01) . (0.86)
17.0
(5.5)
27.1
(3.6)
1.1 x 105
(29.2)
63.5
(1.6)
277.5
(1 x 10~6)
53.2
(21.7)
79.8
(58.3)
4.0 x 105
(60.0)
216.9
(79,1)
1010
(84.8)
Total %
100.6
99.5
99.9
100.3
100.8
2.14 x 103
101.3
104.4
Cl/2 (hrs')
2.8
40.0
14.4
65.5
91.7
99
>9.9 x 10
1.0 x 10 4
5.4 x 1015
f

-------
                                                  Table 10 (continued)

VIII. Polycyclic Aromatic Hydrocarbo
93. Acenaphthylene
99. Benzo(a)pyrene
105. Naphthalene
IX Nitrosamines and Other Nitrogen
Containing Compounds
114. Acrylonitrile
% in Air
as
8?;s
(96.9)
-600
(0.005)
95.1
(96.4)

122 LO
( 100)
% in Water
1.4 ,
(0.02)
147
(0.004)
1.5
(0.08)

2<1 -7
(5 x 10 ')
% in Soil
10.4
(2.6)
557
(84.8)
3.3
(3.0)

-23.3 Q
(9 x 10 *)
Total %
99.6
101.5
99.8

100.8
tl/2 (hrs*^
33.9
5.1 x 109
18.1

1.68
a.  Vales in parenthesis are the corresponding results (K., M  and M,) from the Level  I  fugacity
    calculations (Table 3).                                                  ..

-------
               Air Pollutants
               (% in Air >9Q%)
           Methane, dichloro
           Ethene, 1,1-dichloro-
           Ether, BIs(2-chloromethyl)-
           Benzene, 1,4-dichloro
           Naphthalene
           Acrylonitrile
  Water Pollutants
  (% in Water >2Z)
Y-BHC
Toluene, 2,4-dinitro-
Phenol, 2,4-dichloro-
Phenol, 2,4-dinitro-
Phthalate, diethyl-
Phthalate, Bis(2-ethyl-
hexyl)
Benzo(a)pyrene
Acrylonitrile
              Soil Pollutants
              (% in Soil >4%)
           Aldrin
           Y-BHC
           Heptachlor
           PCB-1221
           PCB-1260
           Butadiene, hexachloro-
           Ether, 4-chlorophenyl
           phenyl-
           Toluene, 2,4-dinitro-
           Phenol, 2,4-dichloro-
           Phenol, 2,4-dinitro-
           Phthalate, diethyl-
           Phthalate, Bis(2-ethyl-
           hexyl)
           Acenaphthylene
           Benzo(a)pyrene
  Fish Pollutants
   .(ti/2 >100h)
Aldrin
Heptachlor
PCB-1260
Phenol, 2,4-dinitro(?)
Phthalate, diethyl-
Phthalate, Bis(2-ethylhexyl)
Ben zo(a)pyrene
     All of the assignments as air, water, and/or soil pollutants appear
reasonable in connection with the results of the Level 1 fugacity calcu-
lations, and the known (or estimated) properties of these chemicals.
                                    IV-12

-------
                     V.   LEVEL II MACKAY CALCULATIONS
A.    Basic Assumptions/Model Output

      The Level II calculations go beyond the Level I equilibrium
calculations by allowing:
                   >,                                 •     .

      1)  Degradation (by first-order kinetics only) in each subcompart-
          ment;

      2)  A net flux of the chemical into the total compartment; and

      3)  Removal of the chemical from a subcompartment by advection,
          e.g., transport in the air or water.

      The Level II calculations do not consider rates .of intercompartmental
transport via such pathways as runoff, washout or volatilization.
Equilibrium partitioning between the subcompartments (a dynamic steady
state) is allowed.  All other aspects of the basic model, including the
concept of accessible volumes for a chemical in each subeompartment,
still remain.

      The Level II calculations provide as output estimates of the
following:

      1)  The mass, M  (mol), of the pollutant in each subcompartment;

      2)  The concentration, C  (mol/m ) or C' (ppt), of the pollutant
          in each subcompartment;

      3)  The rate of removal of the pollutant from each subcompartment,
          R. (mol/yr), due to the combined action of degradation and
          advection;  and

                                   V-l

-------
       4)  The mean residence time, T (yr), for the pollutant in the
           model environment.

 B.    Description of the Model Environment

       The Level II calculations were, with one exception, carried out
 for the same model environment used with the Level I calculations.
 (See Section III-B.)   The exception  involves  the elimination of
 the Suspended Sediments and Biota subcompartments.   Their elimination
 does not materially affect the predicted concentrations for the remaining
 subcompartments (air, water, sediments, soil) since their accessible
 volumes are small.  Elimination of the two subcompartments simplifies
 the calculations but does not prohibit the model from estimating
 pollutant concentrations in these subcompartments from the estimated
 concentration in water.

       As noted above, the Level II calculations can account for
advection, i.e., the net loss of a chemical due to transport-in air,. .
water or sediment.  The rate of loss due to advection must be calculated
with some assumed fluid transport velocities (e.g., air speed, current
speed) for the appropriate subcompartment.  Examples of Level II
calculations with and without advection were provided in Subsection E
below.  The additional Level II calculations reported in Subsection F
have all assumed that no advection losses take place.

 C.    Chemical-Specific Parameters Required

       For the level II calculations described below, the following
 chemical-specific input parameters are required:

                                         3       "     "
      .1)  Henry's Law constant, H (atm m /mol);
                                   V-2

-------
       2)   Soil  and  sediment  adsorption  coefficient, K  ;
                                                      oc

       3)   Molecular weight,  MW (g/mol)

       4)   First-order rate constants, ki; (yr  ), for all important
           chemical,  photochemical or  biological degradation  pathways,
           by subcompartment; and

       5)   The rate ;of  input  of the  chemical  into the  total compartment,
           I  (mol/yr)..      :                                       .

The bioconcentration factor  for aquatic life, BCF, would have been
required if  the Biota  subcompartment  had been kept in the model.

       Values of H,  K  and MW  were  taken, when  available, from  a  draft
report by  SRI,  International.   Gaps were filled with  estimates  by
Arthur D.  Little, Inc.  Values of these parameters for the organic
priority pollutants were previously listed.   (See Table 3.)
      For the sample Level  II calculations described below, a  subset
of 24 chemicals from the  full list of organic priority pollutants was
selected.  Most of these  chemicals have been  (or are currently) the
subject of Risk Assessment  studies by Arthur D. Little, Inc. for the
Environmental Protection  Agency.  The list of selected chemicals is
given in Table 11.                          '           .  ;
                                                          •<
      Table 11 also gives the values of the. degradation rate constants
used for each chemical.   These values are mostly order-of-magnitude
estimates based upon data and discussions by Callahan e£  alU (1979),
Tabak (1980) and unpublished material prepared by SRI, International;
in risk assessment documents currently being prepared by  Arthur D.
Little, Inc.; and in other  miscellaneous sources.  These  values, while
considered reasonable, are  for example purposes only.  The shake-flask

                                  V-3

-------
                                            TABLE 11

                                                   —1              •                               a
First-Order  Rate  Constants  (k,  Years   ) Used  in  Level II  Calculations
No. Compound Biodegradation
Pesticides
7 • Chlordane
11. Dieldrin
17 . Heptachlor
20. TCDD
PCBs and Related Compounds
29. 2-Chloronaphthalene
lUlosenated Aliphatics
36. Chloroform
39. Dichlorodifluoromethane
42. 1,2-Dichloroethane
43. 1,1,1-Trichloroethane
. 47. Chloroethene
50. Trichloroethylene
Halogenated Ethers
56. Bis(2-chloronethyl)ether
57. Bis(2-chloroethyl)ether
Monocyelic Aromattes
63. Benzene
65. 1,2-Dichlorobenzene
'63. 1,2.4-Trichlorobenzene
12. Toluene
Phenols and Cresols '
75- Phenol
77, 2,4-Diehlorophenol
.79- Pentachlorophenol
81. 4-Nitrophenol
Phthalate Esters
90. Bis (2rethylhexyl) phthalate
Polvcyclic Aromatic Hvdrocarbons
95; Benzo(ajanthracene
105. Naphthalene

0.03
0.2
0.1
0.03

3

1'
0
0.01
0.07
0
1

0
3

2
2
2
3
,
3
3
0.7
3

0.4

0.5
3
Photolysis'
Air ' Water

18
4.2
4.2
51

0.1

'i '
0.02
10
3
1000
63

26
1500

1000
84
250
400

2000
0
18
0

0

250
0

4.2
4.2
4.2
4.2

0.1

0
0
0
0 .
0
0

0
0

0
0
0
0

63
0
14
84

0

1900
250
Hydrolysis

0.1
0.2
260
0

0

' ' 0.6
0
0
1.4
0.07
0.8

10S
1

0
0
0
0

•o
0
0
0
•
10 ""

0
0
Oxidation

0
0
0
0

0.1

0
0
0
0
0
2.8

0
0

0
0
0
0

63
. 0
0
0

0

160
8.4
       The values given for race constants are mostly order*of-magnitude estimates based upon data and discussions
       by Callahan,  et al. (1979), Tatmk (1980), unpublished material prepared by SRI  International, risk assess-
       ment documents currently being prepared by Arthur D. tittle. Inc.. and other miscellaneous sources.  These
       values, while considered to be reasonable, are Cor example purposes only.
   b.   Blodegradation rate constants were, in many cases, taken to be about one twentieth of (he rate measured
       in seeded tests.
   c.   Photolysis is taken here to include any light-induced reaction, including reaction with hydroxyl radicals
       in Che atmosphere.
                                              V-4

-------
biodegradation data of Tabak (1980) were especially useful in selecting
biodegradation rate constants.  In many cases, a first-order degradation
rate was taken to be 0.05 times the initial rate measured in these
seeded tests.
       As shown in Table 12,  certain degradation rate constants were
assumed to be applicable to 'two or more subcompartments.  Thus, the
biodegradation rate constant (k ) for a chemical was always assumed to
be applicable to the surface water, sediment and soil subcompartments.
Similarly, the rate of hydrolysis (k ) was assumed to be the same in
                                    u
these three subcompartments, while the rate of oxidation in water (kn)
was cut in half for the sediment and soil subcompartments.  Biodegradation
hydrolysis and oxidation (excluding light-induced free-radical oxidation)
were not allowed in the air subcompartment.  Light-induced degradation
was limited to the air and surface water subcompartments.
      The estimated flux of each chemical into the model environment,
I (mol/yr), was derived whenever possible from emissions estimates
provided in the risk analysis documents (being prepared by Arthur D.
Little, Inc.), from preliminary estimates provided by Acurex, Inc., or
from other in-house reports.  If these reports provided an estimate of
the total annual losses to the environment (to air, water and land) in
the U.S., that figure  (in kg/yr) was divided by the area of the 48
                            ft   9   f                          9
contiguous states  (7.86 x 10  km ) to obtain a flux - in kg/km -yr - for
                                                      2            ' •
our model environment which has a surface area of 1 km .  Dividing this
flux by the molecular weight (kg/mol) provides the value of I in the
desired units (mol/yr).  No emissions estimates were available for 5 of
the 24 compounds in the test set; reasonable default values were selected
for these chemicals.   The values of I for each test chemical is provided
below with the  discussion  in Section  F.
                                  V-5

-------
                            TABLE  12




Scheme for Assignment of Rate Constants  for Level II Calculations
Phase
f Air
Surface Water
Sediment
Soil
Degradation Process
Photodegradation
Biodegradation Air Water " Hydrolysis Oxidation
0 kp 0 00
a
kB ° kP ^ kO
w
k_ 0 0 k_ 0.5k.
D n U
k 0 0 lc^ .0.5k
o n U

-------
 D.     Level II Equations   .  •

      The basic tenets of the fugacity approach used for Level I (see
Section III) are also valid for the Level II calculations.  Most of the
parameters used were previously defined along with the Level I descrip-
tion.  A summary list is provided below:      ;

 subscript  i =  compartment  identifier (For sample  calculations  given
               here:   1  ~ air, 2  = surface water,  3 = sediments,
               4 =  soil)

                                             3 •    •
          C.  =  pollutant concentration (mol/m )

          Cf *  pollutant concentration (ppt in v/v for air and  w/w  for
               water,  sediments and soil)
         c  =  "concentration"  of sediments  or soil in their respective
N           i                       3
'               subcompartments  (g/m )         •
          f  = pollutant's  fugacity (atm)
                                          3
          H  » Henry's  Law constant  (atm m /mol)
          I   = flux of  pollutant  into  model environment (mol/yr)

       k( ) =  first order rate constant for degradation;  k  for
               biodegradation, k  for hydrolysis, etc.  (yr~^)

         K.   = overall  first-order- degradation' constant for each
               subcompartment (yr  ).   Obtained from sum of individual
               k. .  values and -  if desired - advection rate constants.

         K   = soil or  sediment adsorption coefficient  based on organic
          oc
               carbon content

-------
         M. = mass of pollutant in each subcompartment (mol)

         MW « pollutant's molecular weight (g/mol)

      (oc). = organic carbon content of sediments or soil

          R = gas constant

         R, » rate of removal of pollutant in each subcompartment
              (raol/yr)

          T = temperature (K)

          T = mean residence time of pollutant in model environment (yr)

                                                         3
         V  = accessible volume of each subcompartment (m )

         Z  = fugacity coefficient of pollutant in each subcompartment
                    3
              (mol/m  a tin)

      A good narrative discussion of the Level II calculations is
provided in the original article by Mackay (1979).  The detailed
instructions provided below follow his basic instructions with few
modifications.

Step-by-Step Instructions

(1)   For the pollutant of interest, obtain MW, H, K  ,1 and k, ,
      (the individual degradation rate constants).  {It is helpful to
      set up  a matrix,  such  as  the one  shown  in Table  12,  for listing  the
      selected values of k, . for each subcompartment.]

(2)   For the model environment, determine the desired values of V ,
      c   and (oc)..   [The values used  here for the  test  set are  shown
      si          i
                                   V-8

-------
       in Table 13.]                        .        ...  ,  -

(3)   Determine, for each-subcompartment, the total first-order rate
      constant for degradation (plus advection if desired) by summing
      the appropriate k, y.values:   .-

                K  -' Z k                         .  ..                (34)
                          ;
      [The summations used for our test set are shown in Table 13.]  All
      k.,  v values, and thus K., must be in units of yr   .

 (4)    Determine,  for each subcompartment,  the value of the fugacity
       coefficient,  Z  (mol/m ),  using the  equations given previously
       for the  Level  I calculations:   equations 3,  4,  8 and 12 [in
       Section  III]  for the air,  water, sediments  and soil subcompart-
       ments, respectively.   [These equations  are  also provided in Table
       13.]                              .                      .

(5)    Calculate the  fugacity of  the pollutant,  f  (atm),  from:

                f -  I/I V  Z K             '                         . (35)
                      ±  l l i  •

(6)    Calculate the  mass of the pollutant in  each  subcompartment,  M ,
      from:
                Mi * fZiVi

      and then calculate the total amount of  the pollutant  in  the model
      environment from £ M..                  .       ,
                       i                       '             '-.".-.
(7)   Calculate the concentration of  the pollutant  in  each  subcompart-
      ment with:

                C± (mol/m3) =  Z}f = M±/V1                      ,.      (37)
                                  V-9

-------
                                                      TABLE 13                                     .




                 Summary of Compartment-Specific Equations and Parameters  for Level  II Calculations
f
i Phase
1 Air

2 Surface Water

. 3 Sediments


4 Soil

KjXyr""1) V1(m3) Z^mol/m3 atm)
k 1010 1/RT(=41.6 at 20°C)
a
kB = kp + 1^ + ^ 1-5 x 105 1/H
w
k_ + Ic, + 0.5k_ 5 x 103 10"8(oc),K c /H
o H 0 3 oc s_
(=0. 2K /H)3
oc
kB + 1^ + 0.5k0 1.4 x 105 10~8(oc)4KocCs /H
(=0.04K c/H)b
C^(ppt)
2.4^ (v/v)°

(MW)M2/0.15 (w/w)

(MW)M -100 (w/w)


(MW)M4/0.28 (w/w)
•
    a.  Assumes  (Oc)  = 10%, c   = 2 x 10  g/m

                     3         s-i
                                        /:    -3

    b.  Assumes  (oc)  - 2%, c   = 2 x 10  g/m

                     4        S4


    c.  (v/v) = volume to volume ratio




    d.  (w/w) = weight to weight ratio

-------
      If concentrations, C', in units of ppt  (v/v  for  air  and w/w for
      the other subcompartments) are desired,  the  equations  given
      previously for the Level I calculations  may  be used:   equations
      24, 25, 27, and 29 [in Section III]  for  the  air, water, sediment
      and soil subcompartments, respectively.   [These  equations  are  also
      provided in Table 13. ]

(8)   Calculate the rate of removal of the pollutant from  each subcompart-
      ment from:

                Rt (mol/yr) = V^K  = f V Z±K                      (38)

(9)   Calculate the average residence time of  the  pollutant  in the model
      environment from:,

                T (yr) = Z M../I             "                 .        (39)

E.    Level II Calculations, with Advection,for One Chemical

      Level II calculations, with the consideration of advection,  were
carried out for tetrachloroethylene.  The simple four-compartment model
described above was used.  The first-order.rate constants  used are shown
in Table 14 and Table 15 shows some of the intermediate  parameters, that
must be calculated; values are shown for two casest with and without
advection.

      For the case with advection it was assumed that:   .(1)  the air
compartment was constantly swept.with a wind whose velocity  was  16 km/hr;
(2) the water compartment was a river, 50m wide, 3m deep,  with a. current
of 3.2 km/hr.  In both cases a steady-state input  of 200 mol/yr  was
assumed.                                    •             .       '•••_,

      The final results of the Level II calculations are shown in Table
16.  The calculated values for "total removal  rate"-(V C.K ) show .that

                                 V-ll

-------
                                               TABLE 14

                    First-Order Rate Constants for Tetrachloroethylene  (Years'1)'
Phase Biodegradation Photolysis
la. Tetrachloroethylene (no advection)
Air 0 50.6
Water 1 1
Sediment 1 0
Soil 1 0
Ib. Tetrachloroethylene (with advection)
Air 0 50.6
Water 1 1
Sediment 1 0
Soil 1 0
Hydrolysis Oxidation

0 0
0.1 1
0.1 0.5
0.1 0.5

0 0
0.1 1
0.1 0.5
0.1 0.5
Advection Total

0 50.6
0 3.1
0 1.6
0 1.6
.
1.04 x 105 1.04 x 105
2.80 x 104 2.80 x 104
0 1.6
0 1.6
a.  The values given here for the rate constants are mostly order-of-magnitude estimates based upon
    data and discussions from Callahan e£ al. (1979) and - to a much lesser extent - a few other
    sources.  These values, while considered to be reasonable, are for example purposes only.

b.  Photolysis is taken here to include-any light-induced reaction, including reaction with hydroxyl
    radicals in the atmosphere.

-------
                                TABLE 15
      Level' II Calculations for Tetrachloroethylene.'.- Intermediate
                              Parameters3
/ mol \ Vi
1 3 I 3
Phase \ m *atm ' (m )
Air 41.6 1010

c.
Water 50 1.5 x 103

•\
Sediment 3600 5 x 10
5
Soil 720 1.4 x 10



/
K ' . . ZiViKi
• / mo], \
(yr ) * atm-yr '
50.6 2.10 x 1013
(1.04 x 105)3 (4.33 x lO16)8
7
3.1 2.33 x W'
(2.80.x 104)3 (2.10 x 1011)3
7
1.6 2.88 x 10
8
1.6 1.62 x 10
1 1
E - 2.10 x 10XJ
16 (
(= 4.33 x 10 )
a.  For K ' and Z V K., two values are given.  The top number is for the
    case involving no advection.  The bottom number, in parenthesis,
    involves advection associated with the air and water subcompartments.
                                 V-13

-------
                                 TABLE 16

   Final Results of Level II Calculations for Tetrachloroethylene
a,b,c
Phase
Air
Water
Sediment
Soil
Mi
(mol)
3.96
(1.9 x 10 ~3)
7.1 x 10~5
(3.5 x 10"8)
1. 7 x 10~4
(8.3 x 10~8)
9.6 x 10~4
(4.7 x 10"7)
S » 3.96
(3.1 x 10~3)
(ppt), .
9.5
(4.6 x 10~3)
7.9 x 10~2
(3.8 x 10~5)
2.8..
(1.4 x 10~3)
0.57
(2.8 x 10~4)
Wi
(mol/yr)
200
(200)
2.2 x 10~4
" (9.7 x 10~4)
2.7 x 10~4
(1.4 x 10~7)
1.5 x 10~3
(7.4 x 10~7)
a.  M -     B mass of chemical in each subcompartment;

    CT     = concentration of chemical in each subcompartment.  Units.
             are (vol/vol) for air and (wt/wt) for other subcompartments.
    V.C K  •« total removal rate from subcompartment.


b.  Two values are given for each parameter.  The top number  is for  the
    case involving no advection.  The bottom number, in parenthesis,
    involves advection associated with the air and water subcompartments.

c.  Steady-state input (I) of 200 moles/yr assumed in both cases.
                                  V-14

-------
degradation in the atmosphere is, by far, the most important fate path-
way for this chemical.

F.    Level II Calculations for Test Set (Ko Advection)

      Level II calculations were carried out for the teat set of 24  4
chemicals listed in Table 11.  This table also shows the values of the
degradation rate constants used.  No advection out of the model
environment was allowed.

      The results of the calculations are given in,Table 17.  This table
also provides the values for the other chemical-specific input parameters
required (MW, H, K  , X) and the values of some of the intermediate
parameters (f, K , Z , and V Z.K ).  It should be noted that the primary
outputs - M., C' and R. - are all directly proportional to the input
flux, I.  Thus, adjustment of the primary outputs is easy if a different
value of I is selected.                       •  •

      Some of the model outputs, in particular the values of T (residence
time) and G' (subcompartment concentrations), are displayed in Figures
2-5 so that the relative position of the various chemicals can be seen.
Predicted values of T are seen .(Fig. 2) to vary over five orders .of
magnitude, from 50 years for dichlorodifluoromethane (a stratospheric
pollutant) to 0.25d for bis(2-chlorbethyl)ether;  When model" calculations
for specific chemicals are being run this residence time should be con-
sidered as an important factor in setting the accessible volumes (V ) of
each subcompartment.  If, for example, a preliminary calculation shows
T s Id and degradation in the atmosphere is important (i.e., R  is large
in comparison with R , R- and R ), then the accessible volume for the air
compartment (V ) should probably be reduced in a second (revised)
calculation.   A height of 1 km (rather than the 10 km used for the test
set here) would be more appropriate.
                                           (Text continues on page V-26)
                                  V-15

-------
                                                      TABLE 17




                                 Results of Level II Calculations for  Test Set














f
h*
7. Chlordane

Inputs MH - 406
K - 1.66 x
oc

Outputs
- 	 *—
£ « 3.43 x 10"13 atm
i - 1
Air
K. » 18
. i
Zt ' 41.6
ViZlKi • 7-49 x IO12
M± - 0.143
C^ • 0.343
Rt - 2.57


, H - 9.4 x 10"5 atm m3/mol
IO3 I • 3. 1 mol/yr



EMt - 4.14 mol T - 1.3 yr
2 3
Water Sediment
18.1 0.13

1.06 x 10* 3.53 x IO8
2.88 x IO10 2.30 x IO11
5.45 x 10~* 0.606
•
1.48 2.46 x 10*
1 *}
9.88 x 10"J 7.89 x 10"*4







4
Soil
0.13

7.06 x IO7
1.28 x IO12
3.39
4.92 x IO3
0.439

11. Dieldrin
Inputs MW - 381
K - 1.91 x
oc

Outputs
f - 2.63 x 10"18 atm

i - 1
Air

K, » 4.2
i
2t = 41.6
V,ZK., - 1.75 x IO12
i i i ,.
M. - 1.10 x 10
1 ,
C^ « 2.64 x 10"°
Rt • 4.60 x 10~6








.. H - 4.57 x 10~10 atm n3/mol
10 I * 3.3 x 10 mol/yr



^ - 7.35 x

2
Water

4.6
2.19 x IO9
1.51 x IO15
8.65 x IO"4
2.20
3.97 x IO"3



10"2 nol T - 2.2

3
Seditttsnt

0.4
8.36 x IO11 1
1.67 x IO15 9
1.10 x 10 "2 6
419
4.39 x IO*3 2



yr

4
Soil

0.4
.67 x
.35 x
.16 x
83.8
.46 x








io11
IO15
1C'2

io-2
17.  Heptachlor
20.  TCDD
Inputs

,MH - 373.5
K - 1.41 x
oc
. H - 3.95 x
10* I -
10 ~ atm m /mol
0.31 mol/yr


Outputs
£ - 3.
i

K.
i
Z.
i
V.Z.K.
i i i
M.
i
c<
i
Ri
93 x 10"14 atm
1
Air
4.2
41.6
- 1.75 x IO12
- 1.63 x 10~Z
<•' -">
- 3.91 x 10 *
- 6.88 x 10"2
Hl^ " 0.0172 mol T - 5.5 x 10"2
2
Water
264
253
. 1.00 x IO10
1.49 x 10"6

3.71 x 10~3
3.93 x 10"4
3
Sediment
260
7V14 x 10S 1.
9.28 x IO11 5.
1.40 x 10"4 7.

5.23
3.65 x 10~2
yr (» 20d)
4
Soil
260
43 x IO5
20 x IO12
87 x 10"4
*"
1.05
0.204
Inputs

MW - 322
K - 3.80 x
oc
, H - 1.3 x 10"^ atm m3/mol
10° I = 5.1 x 10" mol/yr


Outputs
t - 2.
i

K.
i
Z.
i
V_Z,K,
i i i
M,
i
cr
i
34 x 10" atm
«• 1
Air
51
41.6
• 2.12 x IO13
- 9.73 x 10~9

• 2.34 x 10~8
• 4.96 x 10 ~
EM - 4.61 x 10"7 ool T - 0.
2 3
. Water Sediment
4.23 0.03
769 5.85 x IO8
4.88 x IO8 8.78 x IO10
2.70 x 10~12 6.84 x 10~8
-9 -3
5.80 x 10 2.20 x 10
1.14 x 10'11 2.06 x 10"9
90 yr
4
Soil
0.03
1.17 x IO8
4.91 x IO11
3.83 x 10~7
<_A
4.41 x 10
1.15 x 10"8

-------
                                                     TABLE 17 (cont.)
f
29. 2-Chloronaphthalene
Inputs MW - 162.6
K 5.5 x 103
oc
Outputs
f - 1.72 x 10~13 atm ZM
, i - 1
Air
Ki * O-1
Zj - 41.6
V.Z.K. » 4.16 x 1010 4.
ill «
Mt - 7.14 x 10 Z 2.
C* • 0.171 2.
R± " 7.16 x 10"3 6.
39. Dichlorodifluorome thane
, Inputs MW =120.9
V6-6-1
Outputs
£ - 1.20 x 10 atm EM.
" 1 - 1
Air
. K£ - 0.02
2. ' 41.6
i q
ViZiKi " 8'3 * 10
M, - 5010 6.
4
C'i - 1.20 x 10
&t » 99.6

H - 1.2 x 10"3 atm m3/mol
I - 2.3 x 10" mol/yr

- 7.66 x 10~2 ooi T = 3.3 yr
234
Water Sediment Soil
3.2 3.05 3.05
833 .9.17 x 105 1.83 x 105
00 x 108 T.40 x 1010 7.81 x 1010
14 x 10"5 7.86 x 10"4 .4.39 x 10"3
32 x 10~2 12.8 2.55
88 x 10~5 2.41 x 10"3 1.34 x 10~2

H - 2.98 atm m3/mol
I - 100 mol/yr '".
,
• 5010 mol T - 50 yr.
; 2 3 4
Water Sediment Soil
000
0.336 4.44 0.887
0 0 0
07 x 10~4 2.68 x 10~* 1.50 x 10~3
0.489 3.24 0.646
000
36. Chloroform
Inputs MW <• 119.4 H - 2.88 x 10~3 atm m3/mol
K - 50.2 I " 21 mol/yr
oc
Outputs
f - 1.68 x 10 ~U atm TM± - 6.99 mol T - 0.33 yr
i - 1 2 3 4
Air Water Sediment Soil
K. » 3 1.6 1.6 1.6
i ,
Zt - 41.6 347 3.49 x 10J 697
ViZiKi " 1>2S x 1()12 8'33 x 10? 2>79 x 10? lw56 x l°8
M. - 6.99- 8.74 x 10~4 2.93 x 10"4 1.64 x 10~3
i
c; - 16.-8 0.696 3.50 0.699
1 -3 -4 -3
R± - 21.0 1.40 x 10 4.69 x 10 2.62 x 10
42. 1.2-Dtchlo roe thane
•Inputs MW - ,99.0 H - 9.14 x 10"4 atm m3/mol
KOC -16.6 I = 86 mol/yr
Outputs . .
f - 2.07 x 10~ 1 atm EM = 8.60 mol T - 0.10 yr
1=1 2 3 i
Air Water Sediment Soil
Kt « 10 0.01 0.01 0.01
Z± - 41.6 1.09 x 103 3.63 x 103 7.26 x 102
V1Z1K1 " 4>l6 x lo12 1'64 * l°6 1-82 xlO5 1.02 x 106
Mt - 8.60 3.38 x 10~3 3.75X10"4 2.10xlO~:
' ci ' 20-6 2-23 3.71 0.743
Rt " 86.1 3.40 x 10"5 3.77 x 10~6 2.11 x 10~:

-------
                                                      TABLE 17 (cont.)
f
M
00
43. 1,1,1-Trichloroe thane
Inputs MW = 133.4
Koc 17A
Outputs
£ » 1.92 x 10~10 atm
i - 1
Air
K. - 3
i
Zt - 41.6
V.Z.K. - 1.25 x 1012
i i i
M, = 79.9
i
c; - 192
i
Rt - 240
50. Trichloroethylene
Inputs MW • 131.4
If » 38.0
oc
Outputs
f - 3.70 x 10~12 atm
i - 1
Air
KI " 63
Z » 41.6
V.Z.K, = 2.62 x 1013
ill
M, - 1;54
i
c; - 3.70
i
R - 96.9

H » 3.0 x 10~ atm ID /mol
I - 240 mol/yr

EM - 79.9 mol T - 0.33 yr
2 3
Water Sediment
1.47 1.47
33.3 1.16 x 103
7.34 x 106 . 8.53 x 106
9.59 x 10~4 1.11 x 10 ~3

0.853 14.8
1.41 x 10~3 1.64 x 10"3




4
Soil
1.47
232
4.78 x 107
6.24 x 10~3

2.97
9.18 x 10*3
47. Chloroethene
Inputs MW - 62.5
K 9.34
oc
Outputs
f - 4.81 x 10~13 atm
i - 1
Air
Kt « 1000
Z± » 41.6
ViZiKi " A'16 * 1<)14
M - 0.200
*•
CJ - 0.480
tL± - 200



K » 198 atm m /mol
I - 200 mol/yr

ZMt • 0.200 mol
2
Water
0.07
5.05 x 10~3
, 53.0
3.64 x 10~10
_7
1.-52 x 10
2.55 x 10~11

T - 1.0 X 10
3
Sediment
0.07
9.43 x 10 ~3
3.30
2.27 x 10~U
—7
1.42 x 10 '
1.59 x 10~12

~3 yr (» 0.36d)
4
Soil
0.07
1.89 x 10"3
18.5
1.27 x 10-10
—ft
2.84 x 10 °
8.90 x 10"12
56. Bis(2-chloromethyl)ether
H » 9.10 x 10~3 atm m3/nol
I - 97 raol/yr

EMt = 1.54 mol T - 1.59 x
2 3
Water Sediment
4.6 3.2
110 835
7.59 x 107 1.34 x 107
6.11 x 10~5 1.55 x 10r5
5.35 x 10"2 0.204
2.81 x 10~4 4.96 x 10~5


10~2 yr (-5.8d)
4
Soil
3.2
167
7.48 x 107
8.66 x 10 ~5
4.06 x 10~2
2.77 x 10"4
Inputs MW - 115
K » 1.32
oc
Outputs
f - 1.27 x 10~18 atm
i = 1
Air
Kt » 26
Z - 41.6
V.Z.K. - 1.08 x 1013
-7
M. - 5.30 x 10 '
1 c
C^ - 1.27 x 10
Rt - 1.37 x 10~5
H - 2.1 x lO^atm m3/mol
I - (1.1 x

EM1 » 5. 30 x 10
2
Water
1 x 105
4.76 x 103
7.14 x 1013
9.10 x 10"10
6.98 x 10~7
9.07 x 10~5
10 mol/yr]

~7 mol T - 4,
3
Sediment
IxlO5
1.26 x 103
6.3 x 1011
8.03 x 10~12
9.24 x 10~8
8.00 x 10~7


.8 x 10"3 yr (-1.8d
4
Soil
1 x 105
251
3.51 x 1012
4.48 x 10"11
1.84 x 10~8
4.46 x 10~6

-------
                                                              TABLE 17  (cont.)
[57.  Bis(2-chloroethyl)ether
     Inputs  MW  - 143  .       H - 1.3 x 10*5, ato m3/mol
             KO<;   15.9 .       I - [8.9 x 10"* mol/yr]
                                                                                 63.  Benzene
                                                                 yr  (»0.25d)
i • 1
Air .
2
Water
K± - 1500
Z± - 41.6
V.Z.K. - 6.24
jL X i
. M± - 5.93
C' - 1-42
J_
S. • 8.92
1
M
x 10
x.10
x 10
x 10


14
-7
-6
-4


7.
A.
1.
1.
6.


69
61
64
56
59


4
x IO4
xlO10
X10-8
xlO-5
xW8


3
Sediment

2.
4.
1.
2.
7.



45
90
75
50
01


4

xlO5
x 10
x 10
x 10
x 10


9
-9
-5
-9



4.
2.
9.
4.
3.


4
Soil
4
89 x IO4
74 xlO10
76 x 10"
99 x 10
92 x 10

^
65.  1.2-Dlchlorobenzene
     Inputs  MW  " 147.0    ,
             K     2.00 x 10J
              oc . •
                               H - 1.93 x 10"3 atm m3/mol
                               I - 5.9  x 10~J mol/yr
     Outputs
     f «  1.69 x
           i »'
10~16 atm
  1
.Air
 84
 41.6
EM  - 7.03 x 10
       2
     Water
                                          *5
                                                 T - 1.2-
                                            Sediment
                10~2 yr (»4.3d)
                  4
                 Soil
     VJZ.K. • 3.49 x 10
     "i-i"-!
         Mi
       '  Ci
               7.03 x 10
               1.69 x 10
       ,13
       -5
       -4
              5.90 x 10
                       -3
       2
      518
  1.55 x 10'
  1.31 x 10"
  1.28 x 10"
  2.62 x 10
                                      8
                                      ~8
2.07 x 10
2.07 x IO9
1.75 x 10
2.57 x 10
3.50 x 10
                                                              2
                                                         4.14 x
                                                                IO
,-?
-3
-7
1.16 x 10
9.80 x 10"
5.14 x 10"
1.96 x 10"
                                                                  10

Inputs MW « 78.1
K • 74 2
Koc '*'
Outputs
f - 2.07 x 10~12 atm EM±
i - 1
Air
K. - 1000
i
Z. - 41.6
1 14
V.Z.K. » 4.16 x 10 5
i i i
M, - 0.860 5
1
c; - 2.06 2
i
Rt - 860 1
68. 1,2,4-Trichlorobenzerie
. Inputs MW '" 181.4 ,
. K - 1.02 x 10 '
oc
Outputs
£ = 9.62 x IO"14 atm m±
~ i - 1
Air
K. - 250
i
Z± - 41.6
V.Z.K,, - 1.04 x IO14 1
i 1. i.
Mj - 4.00 x 10~2 6
• C.' - 9.6 x 10~2 7
i
R - 10.0 1

_•» i

H - 5.5 x 10 "" atra m"/mol
I - 860

- 0.86 mol
2
Water
2
182
.46 x IO7
.64 x 10~5
.94 x 10"2
.13 x 10"4

H - 2.31 x
I - 10

- 4.28 x 10
2
Water
2
433
. 30 x IO8
.24 x 10~6
.55 x 10"3
.25 x IO*5
mol/yr

T - 1.0 X 10
3
Sediment
2
2.70 x IO3
2.7 x IO7
2.79 x 10"5
0.218
5.59 x 10"'

IO"3 atm m3/mol
mol/yr

mpl T » 4.
3
Sediment
2
8.83 x IO5
8.83 x IO9
4.24 x 10"4
7.69
8.49 x 10"4


"3 yr (-0.36d) •
4
Soil
2
540
1.51 x IO8
1.56 x 10~4
4.36 x IO"2
3.13 x IO"4




3 x 10~3 yr,(-l'6d)
4
Soil
2
1.77 x IO5
4.94 x IO10
2.38 x 10"3
1.54
4.75 x 10~3

-------
                                                       TABLE 17 (cont.)
f
ISJ
O
72. Toluene

Inputs tW
Soc
Outputs
f - 3.55 x
i -


K "
i
Zi-
Wi.-*-
rl » ™ A »
ci - 3-
R. -
i


- 92.1
- 339
10-14 atm
1
Air

400

41.6
ML
66 x 10
48 x 10~2
55 x 10 ~2
5,89








75. Phenol
H * 5.17 x 10~3 atm nfVraol
I - 5.9 mol/yr Inputs MB - 94.1
Outputs
EM, - 1.48 x 10~2 mol t - 2.5 x 10~3 yr <-0.92d) -14
i f - 2.94 x 10 atm
2
Water

3

193
7
8.68 x 10 '
1.03 x 10r6
6.32 x 10"4
_&
3.08 x 10

3
Sediment

3
A
1.31 x 10
a
1.96 x 10
2.33 x 10~6
2.15 x 10 ~2
-6
6.96 x 10 D

4
Soil

3
3
2.62 x 10
g
1.10 x 10*
1.30 x 10~5
4.29 x 10~3
_5
3.90 x 10

77. 2,4-Dichlorophenol
Inputs MW
= 163
K - 437
oc
Outputs
f * 1.05 x
i =•

K, "
i
Z. •
i
V,Z K,, -
i i i
M4 •= 4.
1
c; • i.
i
Ri =

10~14 atm
1
Air
0
41.6
0
.35 x 10~3
_9
.04 x 10
0
H = 2.8 x
I = 3.4 x

, „-$ 3 ,
10 " atm m /mol
10~2 mol/yr

£M± • 1.57 x 10~2 mol T - 0
2
Water
3
3.57 x 105
1.61 x 1011
5.60 x 10"4

0.608
1.69 x 10~3
3
Sediment
3
3.12 x 107
4.68 x 1011
1.63 x 10"3

26.6
4.91 x 10~3



.46 yr
4
Soil
3
6.24 x 106
2.62 x 1012
9.14 x 10~3

5.32
2.75 x 10~2

i - 1
Air

K, - . 2000
.. i
Z, - 41.6
1 14
V.Z.K. - 8.32 x 10
111 n
M. - 1.22 x 10
c; - 2.93 x 10~2
1
R - 24.5
79. Pentachlorophenol
Inputs KM - 266.4
K - 6.03 x
oc
Outputs
f - 6.68 x 10 ~15 atm
i • 1
Air
K± - 18
Zt - 41.6
viZiKi " 7*49 * 1()12
M. - 2.78 x 10~3
-3
CJ • 6.67 x 10
R. = 5.00 x 10~2


•



H - 4. 54 x 10~7 atm m3/mol
I - 26 mol/yr
EM1 - 2. 89 x 10~2 mol t - 1.1 x 10~3 yr (-0.40d)

2
Water

129
2.20 x 106
4.26 x 1013
9.72 x 10~3
6.10

1.25


3
Sediment

35
7.14 x 106
1.25 x 1012
1.05 x 10~3
9.88
-2
3.68 x 10


4
Soil

35
1.43 x 106
6.99 x 1012
5.90 x 10~3
1.98

0.206

, H = 2. 8 x 10 atm m /mol
10 I - 0.72

T.M± - 0.952 mol
2
Water
14.7
3.57 x 105
7.87 x.1011
3.58 x 10~A

0.636
5.26 x 10~3
mol/yr

t « 1.3 yr
3
Sediment
0.7
4.31 x 109
1.51 x 1013
0.144
•j
3.84 x 10
0.101



4
Soil
0.7
8.61 x 108
8.44 x 1013
0.805

766
0.564

-------
                                                              TABLE 17  (cont.)
,81.  4-Nitrophenol
              oc
                   139.1
                   51'3
     f - 2.40 x 10"18 atm
                  1
                 Air
                  0
                 41.6
     Wi
         M± - 9.99 x 10
         c; - 2.40 x 10"
                       -7
                                                                              90.  Bi8(2-ethylhexyl)phthalate
                     H - 3. 7  K 10*11
                     I - (0.91 mol/yr]
Ij - 3.17 x
. 2
Water
87
2.70 x IO10
3.52 x 1017
9.72 x 10" 3
9.01
0. 845
10~2 mol T -
3
Sediment
3
2.77 x IO11
4.16 x 1015
3.32 x 10~3
46.2
9.98 x 10~3
3.5 x 10~2 yr
4
Soil
3
5.55 x 1010
2.33x 1016
1.87 x 10"2
9.27
5.59 x 10~2
                                                                  yr <=>13d)
                                                   - 391
                                                                                                            H » 3.0 x 10~7 atm m3/mol
K • 2.24 x 10
oc
Out
f -




V.Z
i



puts
2.80 x
i -

K, •
i
Z. -
i
^ *
i i
M, - 1.
i
c; - 2.
i
R, "

10~1(? atm
1
Air
0
41.6
0
-6
16 x 10 ^
78 x 10'6
0
' I " 55

EM - 138
2
Water
0.4
3.33 x IO6
2.00 x 10U
-f.
1.40 x 10^
3.65 x 10~3
5.60 x 10~7
mol/yr

T » 2.5 yr
3
Sediraeat
0.4
1.49 x 101S
2.98 x 1018

20.8
8.13 x IO5
8.34



4
Soil
0.4
2.99 x 10U
1.67 x IO19

117
1.6 x IO5
46.8
95. • Ben2o[a]anthraccne
    -. Inputs  MW  « 228.3    .
             K   - 2.24 x IO5
4.68 x 10~20 atm
H - 1.0 x 10
I - [5.57 x 10"
i -
Ki"
zi-
viziKi -
Mi-
ci-
Ri"

i.
i.
4.
4.
1
Air
250
41.6
04 x
95 x
68 x
87 x

10,"
io-8
Kf8
io-6
                            EM  " 6.92 x 10~5 nol
                                                                               105.  Naohthalene
                                                  ol/y]
        t - 1.2 x IO"2  yr <-4.5d)
                         2
                       Water
                                             Sediment
                                  2060-
                               1.00 x  10
                               3.09-x  10
                               7.02 x  10"
                               1.07 x  10"
                             ,6
                             .14
   80.5
4.48 x 10
                                           .10
                                  1.80 x 10
                                  1.05 x 10"
                                     0.240
         ,16
                                                              4
                                                             Soil
                                                            80.5:
                                                         8.96 x 10s
                                                         1.01 x 10
                                                         5.87 x 10"
                                                         4.79 x 10"
                                   .17
Inputs  MW  - 128.2
        K   - 1.07 x IQ
         OC
                                                                                                    H - 4.6 x iO
                                                                                                    I » [9.92-
                                                                                 atm m /mol
                                                                                 mol/yr]
                               1.45xlO'5    8.42  x  10~*    4.73x10"
Outputs
£ - 5.07 x
i -

K,. •
i
Z -
- i
V Z K -
i i i
M. »
i
C' -
vl
R, *

Uf"
1
Air
0
41.6
0
21.1
50.6

0

EM1 • 21.9 mol
2
Water
261
2.17 x IO3
8.50 x IO10
1.65 x 10~2
14.1

4.31

T - 2.2 yr
3
Sediment
7.2
4.65 x IO5
1.67 xlO10
" 0.118
1.51 x IO3

0.847


4
Soil
7.2
9.30 x 10*
9.38 x IO10
0.661
302

4.76

-------
RESIDENCE 102_.
TIME(yeors)
10 -
2-Chloronophtholene 	 *.^^

Pcntochlorophcnol ' ^
1 -
2,4-Dichlorophenol 	 '\__tol
10"'-














                                        Dichlorodifluoromethone
                                        Bis(2-ethylhexyl)phtholate
                                        Dieldrin
                                        Chlordane
                                        TCDD

                                        Chloroform

                                        1, 2-Dichloroethane

                                        4-Nitrophenol
                                        1,2-Dichlorobenzene
                                        Benzo [a] anthracene
                                        1,2,4- Trichlorobenzene
                                        Phenol
                                        Chloroethene
                                        Benzene
FIGURE  2. ESTIMATED RESIDENCE TIME IN COMPARTMENT
           FROM LEVEL n CALCULATIONS  (No Advection).
                           V-22

-------
CONCENTRATION IN in,
WATER (ppt) 10
10 -

1 -
Chloroform 	 ;*
Pentochlorophenol ~r~//
Drchlorodifluoromethane 	 ' .Q-j_
10'2-
Hftotnr hinr —-• 	 • 	 »
ID"3-
to'4-
10'5-
r T 106-
io-7-
10'8-
* Position of chemicals listed in
brackets very uncertain. Based
on use of default value for input (I).
in"*-













                                            [Naphthalene]*

                                            [4-Nitrophenol]

                                            1,2- Dichloroethone
                                            Chlordone
                                            1,1,1-Trichloroethane
                                            2,4-Oichlorophenol


                                            Trichloroethylene

                                            2- Chloronaphthalene

                                            1,2,4-Trichlorobezene
                                            Bis(2-ethylhexyl}pntna!ate
                                            CBis(2-chloroethyl) ether]

                                            [Benzo[a]anthracene]



                                            1,2-Dichlorobenzene



                                            Chloroethene
                                            TCDD
FIGURE 3. ESTIMATED CONCENTRATION JN WATER COMPARTMENT
            FROM  LEVEL H  CALCULATIONS  (No Advectioo).
                                V-23

-------
IN AIR, ppt (w/v) 1U ~
10.?,-
^NQpnTnaicnej ^
10 -
1 -
^niorocTnenc 	 ^
H^ntnrhlAr — •*
Phenol 	 ^
10"2-
>o-3-
to;5-
Bis(2-ethylheKyl)phthalote 	 ss^
[4- Nitrophenol]— ^^
Position of chemicals listed in
brackets very uncertain. Based
on use of default value for input (I)
ifl~®—
t








^~

-------
CONCENTRATION IN 106_
SEDIMENTS (ppt)
10*-
104-

103-
102-
1.1,1-Trichloroethone 	 ^, fc
to -
1,2-Dichloroethane 	 -^^S
Dichlorodifluoromethane 	 ' 1 _
10-'-
io-2-
. . . io-3-
'..-;•" • io-4-
of chemicals listed in
very uncertain. Based
>f default value for input (I) ^
io-7-
la \
• -- \r '*
"*



"^—

i ~
^
                                             Bis(2-ethylhexyl) phthalate
                                             Chlordane.
                                             [Naphthalene]'
                                              2,4-Dichlorophenol
                                              2-Chtoronophthalcne
                                              Heptachlor
                                              Chloroform  '  .


                                              [Bento [a] anthracene]

                                              Trichloroethylene
                                              TCDD
                                              [Bis(2-chloroethyl)ether3  .
                                              Chlorbethehe '•;"'•
                                              [Bis (2-chioromethyl )ether]
FIGURE  5. ESTIMATED CONCENTRATION  IN SEDIMENT COMPARTMENT
           FROM LEVEL  tt  CALCULATIONS (No Advecjion).       '
                        "         V-25"   \         -  .-":

-------
      Predicted water compartment concentrations (Fig. 3) range over 10
orders of magnitude while those for air (Fig. 4) and sediments (Fig. 5)
range over 12 and 14 orders of magnitude, respectively.  Predicted soil
concentrations are one fifth of the predicted sediment concentrations and
thus the soil concentration ranking would appear as shown in Figure 5.
The extremely high value of C' shown for bis(2-ethylhexyl)phthalate in
Figure 5 results from the high (probably excessively so) value of K
              n                                                    oc
used (2.2 x 10 ).
      An alternate manner of presenting the predicted environmental con-
centrations is shown in Figure 6.  This figure plots - for each chemical -
predicted values of M  (mass in air), M_ (mass in surface water), and
M, + M, (total of mass in soil and sediments), expressed as a percent
of the total mass in the model environment.  This figure dramatizes the
(predicted) tendency of most of the selected priority pollutants to
reside primarily in the air compartment or the-soil/sediment compartments.
Only phenol (#75) has an appreciable mass  ( ~34%) residing in the water
compartment;                                                ,           '.  • t

      Predicted values for removal rates, R., show that atmospheric
degradation (mostly reaction with light-produced hydroxyl radicals) is
the most important loss area for 14 of the 24 chemicals.   For two
chemicals.- 2,4-nitrophenol and bis(2-chloromethyl)ether - degradation
in the surface water compartment is the most important; and for the
remaining 8 test chemicals, the soil compartment was most important for
degradation.  These results would be altered (perhaps significantly) if
different,  adjustable, values of V  were used and if advection was
considered.

G,    Comparison of Predicted Concentrations with Monitoring Data

      The environmental concentrations predicted by the Level II calcu-
lations are compared in Table 18 with monitoring data for eight chemicals.
In most cases, monitoring data on surface water concentrations (much of
                                  V-26

-------
                                                   57
36, 39, 42
43, 47, 50
56, 63,65, 72
to
           Water
                                  79, 90, 95
                                  Soil and
                                  Sediment
       Note:  Numbers by each point refer to the compounds listed in Table 11.   The percent  of  the total mass
              (in the model environment)  in each of the three subcompartments is given by  the vertical dis-
              tance from the line opposite the apex with the named  subcompartment.
                             Pimipp  6 .PLOT.QF.D!STR!BUT!OKjRRED!GTEDiBY-LSVEL-!!,CALCULAT!ONS.
                                       PERCENT IN AIR, WATER, OR SOIL AND SEDIMENT COMPARTMENT.

-------
                           TABLE 18 .
         Measured vs Environmental Concentrations for
                      Selected Chemicals3
No.
36.
39.
50.
51.
63.
75.
77.
79.
Compound
Chloroform
Dichlorodifluoromethane
Trichloroethylene
Tetrachloroethylene
Benzene
Phenol
2, 4-Dichlorophenol
Pentachlorophenol
Approximate Concentration Ratio:
Measured/Predicted
Air
1-10
10-2-1
1-102
1-10
102-103
—
—
—
Water
103-104
103-105
104(+102)
104-107
104-105
102-104
'vlO4
. 1Q2~105
Data on measured concentrations were taken from risk assessment
documents being prepared by A.D. Little, Inc.  Data clearly
labeled as representing sites near pollution sources were ex-
cluded in an attempt to obtain "background" concentration data.
The predicted concentrations were, from the Level II (Mackay)
calculations.
                             V-28

-------
                                                              4      2
the data were from STORE!) indicate ambient levels that are 10  (+ 10 )
higher than the surface water concentrations predicted by the model.
Monitoring data for atmospheric concentrations (five chemicals) indicated
                                                                2
ambient concentrations are generally within a factor of 10 to 10  of the
Level II predictions reported here.  Insufficient data were available to
make meaningful comparisons for the other chemicals in the test set or
for the soil and sediment compartments.
      The wide discrepancies seen for the surface water concentrations
is thought to be due to the combined effects of:

      1)  A bias towards the more polluted streams and rivers in
          monitoring programs; besides having higher  than  "average"
          concentrations, chemical pollutants in these waters may
          have been discharged to the water and not had time to
          equilibrate with other environmental 'compartments;

      2)   Problems  in obtaining meaningful  "averages"  of. concentration
          data  from monitoring programs when detection or reporting
          levels are often not specified, when the  concentrations being
          reported  are  frequently near these detection limits, and when
          data  management systems  (e.g.,  STORE!)  use questionable
          methods  (e.g.,  using either 0 or  the detection limit) when
          averages  must be taken from data  sets containing  numerous
          "not  detected"  or  "less  than X" entries.

      3)   A bias towards  less polluted areas in the method  used here  to
                      /                                        .      *
          select the inputs, I  (mol/yr),  for each chemical  into the
          model environment.  The use of  total U.S. emissions divided
          by  the area of  the 48 contiguous  states (to  yield I in
                   2                                              2
          mol/yr km for  the model environment whose area was 1 km )
          will  significantly underestimate  pollutant loadings for
          chemicals released in the more  populated  and industrialized
          sectors  of the  U.S. which occupy  only a relatively small
          fraction of its surface  area.

-------
      The discrepancies seen, then, should not be considered a failure
on the part of the basic fugacity model, but a result of inadvertent
biases in the monitoring data and model parameters used.  Both of these
biases can presumably be compensated for, if not fully corrected, in
future uses of this model.
                                  V-30

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                   VI.  LEVEL III MACKAY CALCULATIONS
A.     Basic Assumptions/Model Output           :

       The Level III calculations go beyond the Level II calculations by
allowing:
       1)  A steady state flux, I> (mol/yr), of the pollutant into
           any subcompartment, i;
       2)  Time-dependent intercompartmental transfers (e.g., volatiliza-
           tion from water) where a steady-state transfer process may be
           postulated.

Other processes covered in the Level II calculations (e.g., degradation
and advectiqn out of the model environment) may still be included.

       The subcompartment-specific pollutant loadings (I. values) will
frequently be available from materials balance studies for a pollutant.
These studies may provide estimates of (total) discharges to the sub-
compartments of interest, i.e., air, surface water and land.  This
model does not, however, simulate point source discharges.  Thus,
a discharge to land, for example, would imply a discharge to all of
the land in the model environment chosen; the Level III calculations
     r
will then assume that all of the land is equally contaminated.  This
will — at least for discharges to land — seldom be a good assumption.

       The intercompartmental transfers are postulated to occur as a
steady-state transfer rate, N (mol/yr), as:
                          N = D^C^ - f..)                         (40)
                                   VI-1

-------
where D.. is the transfer coefficient for transfer between subcompartments
± and j, and f. and f. are the fugacities of the pollutant in subcom-
partments i and j, respectively.  In this treatment, D   = D   and
                                                       J    J*
values of D must always be positive.  The transfer coefficient, D,
has units of mol/(yr atm) and will depend upon the pollutants rate
of diffusion and the common transfer area between the two subcompartments.
Mackay  (op.cit.) has shown that for volatilization from water
                           D = KQa/RT                               (41)
where K  is the overall gas mass transfer coefficient (m/yr), a is  the
interfacial area between the surface water and atmosphere (m~),  R is
the gas constant and T the temperature.

       K_ is a chemical- and environmental-specific parameter which
may be estimated from the chemical's Henry's law constant and molecular
weight  (Thomas, 1980).   For compounds of relatively low molecular
weight  (<65 g/mol) the equations given by Thomas (op.cit.) may be
combined to give the following expression:
                      K,, - 87.6 [(0.314H + 7.86xlb~5)\/MWr1m/yr    (42)
                       {j       t           .                     .  • ; •
where MW is the molecular weight (g/mol), H is Henry's law constant
      3
(atm m  /mol), and a temperature of 20°C has been assumed.  For compounds
of high molecular weight (>65 g/mol) the wind and current velocity,
and the mean depth of the water body, are also required for the
estimation of KG>  The equations given by Thomas, for one set of wind
and current velocities and three depths, may be reduced to the
following:

       •  V wind = 5 m/s (VLO mph), V current = 0.5 m/s  (-yl mph),
          Depth of water - 1 M:
          KG = 87.6 [(0.120H + 3.77xlO~5) VMW]"1 m/yr               (43)
                                   VI-2

-------
       *  Depth of water =  3m (velocities as above):
          K  = 87.6 [(0.057H + 3. 77xlO~5) VSW]^1 m/yr               (44)
                                                    •
       •  Depth of water = 10 m (velocities as above):
               87.6 [(0.025H + 3. 77xl(f5)VSw3~X m/yr               (45)
       Other intercompartmental transfer processes which may be
important for some pollutants are volatilization from soil, wet and
dry deposition (to land and surface waters), adsorption on and
desorption from sediments, and uptake and clearance by aquatic biota.
Expressions for the respective transfer coefficients for each of these
processes can presumably be devised.  However, none are presented in
the Mackay work (op. cit.).  Thus, for the present, the user must
make an informed guess for K_ for these other processes.
                            t»               •

       Implicit in this treatment of intercompartmental transfers
is the assumption that the rate of transfer (N in eq.40) is directly
proportional to the difference in the chemical's fugacity in the two
subcompartments.  This will not always be true.

       The Level III calculations provide as output estimates of the
following:
                                  •  '..       •' '      p     3   •''':  ' ''   ' '
       1)  The mass, M.(mol), and concentration, C  (mol/m ) or
           Cj (ppt) , of the pollutant in each subcompartment.

      ' 2)  The rate of removal of the pollutant from each sub-
           compartment, R.(mol/yr), due to the combined action of
           degradation, advection and intercompartmental transfer; and

       3)  The mean residence time, x (yr), for the pollutant in the
           model environment.
The effect of intercompartmental transfers is also elucidated in the
calculational process.
                                  VI-3

-------
B.     Description of the Model Environment

       The Level III sample calculation was carried out for the same
model environment used for the Level II calculations.  (See Section V.)
Only the air, water, sediment and soil subcompartments are considered.
No advection out of the model environment is considered.

       As noted in subsection A above, some exchange coefficients may
require compartment-specific information.  For volatilization from
water, for example, this includes:  (1) the air-water interfacial
            4    2
area (5 x 10   m   in  the model  environment  used here);  and (2)  for
chemicals with MW>65,  the wind and current velocities and the mean
depth of the water.  For the sample calculations given below we have
selected the conditions of equation 44, i.e., a wind velocity of
5 m/s, a water velocity of 0.5 m/s, and a mean water depth of 3 m,

C.     Chemical-Specific Parameters Required

       For the Level III calculations described below, the following
chemical-specific input parameters are required:
       1)   Henry's  Law constant, H (atm m /mol) ;

       2)  Soil and sediment adsorption coefficient, K  ;
                                                      oc

       3)  Molecular Weight, MW (g/mol);

       4)  First-order rate constants, k (yr  ), for all important
           chemical, photochemical or biological degradation path-
           ways, by subcompartment;
                                               i

      . 5)  The rate of input of the chemical, I  (mol/yr), into each
           subcompartment; and
                                  VI-4

-------
       6)  Transfer coefficients,  D (mol yr   atm  )',  for-each
           intercompartmental transfer process (e.g.,  volatilization)
           to be modeled.   For volitization from water,  D will require
           only H and MW as chemical-specific input parameters.
The bioconcentration factor for aquatic life, BCF,  would have been
                                            7
required if the Biota subcompartment had been kept  in  the Level III
calculations.                               .1
                                            [•        •    .
D.     Level III Equations        '

       The basic tenets of the fugacity approach used  for the Level T
and II calculations (see Sections  ill and V) are also  valid  for the
Level III calculations.  The parameter symbols used below are the  same
as in the Level I and II calculations.

       The Level III calculations  go beyond the Level  II calculations by
allowing'a steady-state flux of the chemical, I  (mol/yr), into any
subcompartment i.  Intercompartmental transfers are modeled  as a
flux, D   (f  - f.)» as shown in equation AO.  Degradation within
a compartment is given (see eq. 38 in Section V) by the  product V  C K  .
At equilibrium'the inputs and outputs in each subcompartment must  be
equal:
           li-'Wi+yDyX'- V                          (46)
The summation is over all compartments except i and must include
terms for each transfer process being considered.  Remembering that
C = Zf, equation 46 can be reqritten as:    '

         •  h-fi 'Wi+ § V> .f Vi    .                (47)
In practice, equation 47 must be written out for each  subcompartment
being considered, and then the set  of siraulatarieous  equations solved
for the f. values.  Considering four subcompartmehts (e.g.,  air,
water, sediments and soil) will thus yield four simultaneous equations
to be solved for f1, f«, f_ and f,.  Calcualtions can  then be made for
M, C, R and T in a manner similar  to that used in the  Level  II equations.
                                 • VI-5

-------
Step-by-Step Instructions

(D\
(2)
(3)
(4)
Steps (1) through (4) are the same as were
given previously for the Level II calculations
(see Section V-D)
(5)   Calculate V.Z.K  (mol yr    atm   ) for each subcompartment.
(6)   Calculate or select an exchange coefficient, D  (mol yr^atm"1),
      for each intercompartmental transfer process of interest, e.g.,
      volatilization from soil and/or water, adsorption, uptake by
      biota, etc.  For volatilization from water, D is given by equation
      41; the Kp parameter needed in equation 41 may be evaluated from
      equation 42, 43, 44 or 45, as appropriate.  Values of D for other
      transfer processes must be assumed; no equations were given by
      MacKay (op. cit.) for their calculation.

(7)   For each subcompartment 1, write out the  mass balance equation
      given by equation 47.  If there are n subcompartments, there will
      be n simultaneous equation which must then be solved for the
      chemical's fugacity in each compartment,  f.(atm).

(8)   Calculate the mass of the pollutant in each subcompartment, M., from:

                M^mol) = f±V1Zi                                   (48)

      and then calculate the total amount of the pollutant in the model
      environment from EjM..
                                   VI-6

-------
(9)   Calculate the concentration of the pollutant in each  .
      subcompartment with:

                C± (mol/m3) = Z±fi = Mi/V±      .                   (49)

      Conversion to units of ppt may be made as described previously
      for the Level II calculations.

(10)  The rate of removal of the pollutant from each subcompartment,
      R± (raol/yr), is -- by definition — equal to I  in the Leva! Ill
      calculations.             •      .

(11)  Calculate the average residence time (T) of the pollutant in the
      model environment from:
                T (yr) = E±MI/EIII                                 (50)
E.    Level III Sample Calculation

      A sample Level III calculation is presented for trichloroethylene
in a four-compartment model environment identical to the one described
for the Level II test set.   The values of the input parameters used here,
although considered reasonable, should not be considered to be the
"best" values (or even defensible in some cases); they were selected
primarily to allow the sample calculation to be run.

      For trichloroethylene we have used MW = 131.4 g/mol,
H = 9.1 x 10 3 atm m3/mol,  K   = 38 and the same degradation rates
assumed for the Level II calculations (see Section V, Table 17).  The
selected values of I. and (previously) calculated values of V.Z.K. are
as shown below.
                                   VI-7

-------
Compartment.
Number
1
2
3
4
Compartment
Air
Surface water
Sediment
Soil
Input
di)
mol/yr
. . 48
11
0
38
v^tc,
2.62 x 1013
7.59 x 107
1.34 x 107
7.48 x 107
                                    Total   97





 The  total  input  (97 mol/yr)  is  the same as was used in the Level II


 sample  calculations.





      This sample  calculation considers the following intercompartmental.


 transfer processes:





                   Process                Transfer Coefficient
          Volatilization from water       D12  (


          Volatilization from soil        DH+  (


          Adsorption  on  sediments         T>23  (.-  032)






Assuming  an air  speed of 5  m/s, a  current speed  of  0.5  m/s,  and a mean


•water depth of 3 m,  allows calculation  of K  from equation 44:
                                           G





      K_  -  87.6  [(0.057 x 9.1  x 10~3 -I-  3.77  x 10~5) V131.4]'1
       t




          -  1.37  x  101* m/yr                               •





When this is substituted in  equation 41 (with the interfacial area


a = 5 x 101* m2), Di2 is calculated  as:





      D12 = 1-37 x 10^(5 x 10^/2.4 x 152





          = 2.85 x 1010 mol  yr~ l atm~ l
                                   VI-8

-------
For the initial calculation we will assume Dm = 1010 mol/(yr atra) and
D23 ° 1012.mol/(yr atm) .  Since the uai*/sediment , soil/sediment and
soil/water compartment pairs have no common interface, we set
D13 = D31 = °» D3it " Di»3 * 0 and D2^ • Di+2 = 0.
      The, general form of the four simultaneous equations  (based on
equation 47) that require solution is:
                      12 + Dm)f! -  (D12f2 + Duf^)                 (51)

      I2 = (V2Z2K2 + D12 + D23)f2 -  0>i2fl + D23f3>               '  '(52)

      I3 = (V3Z3K3 + D23)f3 - (D23f2)                •>•.•       (53)

                                                                   -(54)

Substituting in the input values given above gives:

For:
    i - 1   48 = (2.62 x 1013 + 2.85 x 1019 + 1019)fi -  (2.85 x 1010f2 + 10
    i = 2 .  11 = (7.59 x 107 + 2.85 x 1010 + 1012)f2 -  (2.85 x lO^f! + 101

    i = 3    oQ (1.34 x 107 +.1012)f3 - (1012f2)            •-,'--

    i = 4   38 - (7.48 x 107 + 1010)f4 - (1010fi)   :
Collecting terms yields:                        .•••-.
      48 - 2.62 x 1013f! - 2.85 x 1010f2                - 1010fH

      11 - - 2.85 x lO10^ + 1.03 x 1012f2   -  1012f3

       0 - .                _        1012f2   +  1012f3

      38 -        -- 1010f 1                              + 1.01 x
                                  VI-9

-------
The solution of this set of simultaneous equations yields:

           fl = 3.67 x 10-12 atm

      f2 - fs - 3. 70 x HT10 atm

           fn - 3.77 x 10-9 atm

      Steps 8 and 9 of the step-by-step instructions (equations 48 and
49) are then used to find the mass (M.) and concentration (C.) in each
compartment.  The results are shown below and the predicted
concentrations compared with the Level II output.
M± (mol) =

C. (mol/m) =

C'± (ppt) =

CC from
  Level II (ppt) =3.7            0.054         0.20          0.041

      For this example we also have a total pollutant load in the model
environment (£M ) of 1.63 mol and an average residence time (T) of
0.017 yr (6.1 d).  The Level II calculations predicted 1.54 mol and 5.8 d,
respectively.  The significant differences in the predicted values of C.
for the Level II and III calculations (for the water, sediment and soil
compartments) should be noted.
1
Air
1.53
1.5 x 10'10
3.7
2
Water
6.1 x 10-3
4.,1 x 10- 8
5.3
3
Sediment
1.5 x HP 3
3.1 x ICT7
20
4
Soil
8.8 x 10~2
t .
6.3 x lO-7
41
                                  VI-10

-------
Sensitivity Analysis          '                                         '

      The Level III calculations introduce two new parameters:  sub-
compartment-specific inputs (I.) and intercompartmen'tal transfer
coefficients (DJ^)«  The sensitivity of the model outputs to variations
in these inputs will depend, in part, on the values of many of the other
chemical- and environment-specific inputs.  Thus, generalizations are
not possible and the user must conduct his/her own sensitivity analyses
on a case-by-case basis.

       Table  19  presents the results  of a (partial)  sensitivity analysis
for the trichloroethylene calculations described above.  This table
shows the results of the Level I and II calculations followed by eight
Level III cases in which the D., and I, values were changed.  Case No. 1
(Base Case) is the one described in detail in the text above.  In
Case Nos. 2-4, values of Dm and 023 (which had been guessed at for the
base case) were varied over three to four orders of magnitude, generally
resulting in minor changes in the predicted concentrations.  In.Case
Nos. 5-8, the subcompartment inputs (Ii - 1^) were varied, but the total
input was kept at 97 mol/yr.  In Case No. 5, no discharge to water is
allowed and the air and soil compartments receive about 60% and 40%,
respectively.  In Case Nos, 6-8, all of the discharge is to one compart-
ment:  the air, soil, and. water compartments, respectively.  In these
latter cases (Nos. 5-8 vs. Base Case) the model output, excepting the
air .compartment, is seen to be fairly sensitive to the varying I. inputs.

      One general conclusion that might be made from the analysis above
is that predicted concentrations for a subcompartment that contains a
large"percentage of 'the total mass of the chemical (e.g., air for tri-
chloroethylene) will be fairly insensitive to changes in Dj. and IA
variations.  The converse statement would be equally valid.
                                  vi-ii

-------
                               TABLE 19
         Sensitivity of Level III Outputs to D.. and I  Values.
                Test Calculations for Trichloroethylene
Method of
Case No. Calculation Air
' . Level Ib '240
" Level IIC 3; 7
A
Concentration (ppt)
Water
3.5 '
0.054'
Sediment
13
0.20
in:
Soil
2.6
0.041
Level III:d ' :
1 Based 3
2 D23=109 3
3 Dm
4 DI^
IX =
5 I2=
I«»"
6 fll =
(I2=
=108 3
=1012 3
59
1 3=0 3
38
•'• } ,
13=1^=0 J
? ( Ij-Ij-lg-O ) 3
Il =
8 I2=
I3=
;
D i
i
97 [ 3
Ij,=0 )
.7
.7
.1
.7

.7

.7
.7

.5

5.3
5.5
5.3
5.7

0.050

0.050
0.050

46

20
21
20
22

0.19

0.19 -
0.19

170

41
41
24
0.45

41

0.040
100

0.038

a. ppt (v/v) for air and ppt (w/w) for other compartments.
b. Level I calculation assumed 100 moles of chemical were in the model
   environment.  No degradation allowed.
c. Level II calculation assumed total input of 97 mol/yr into model
   environment.  Degradation allowed.  Mass of chemical in compartment
   calculated to be 1.54 mol.
d. All Level III calculations assumed total input to model environment
   was 97 mol/yr.  Base case is the example worked out (in detail) in
   the text where:
                                  VI-12

-------
                           TABLE 19  (cont.)
                  D12 = 2.85 x 1010           Ii - 48
                  D^ = 1010                 I2 - 11         :
                  D23 = lQia                 I3 =  0
                                             Ik = 38

In runs 2 through 8, changes in these input parameters were made as
indicated in the second column.   For example, in Case No. 4 Dj^ was set
at lO1^; all other inputs remained as specified above for the base case.
                                  VI-13

-------
                      VII.  LIST OF SYMBOLS USED
                                                       . .
                                                   -  '        2
a =  Area of common interface between  two'subcompartments  (m )
B =  Volume fraction of biota in surface waters.   (Assumed to be
     5 x 10    m  /m  in-sample Level  I calculations.)
BCF = Bioconcentratibn factor for  aquatic  life
C = .Concentration of chemical (mol/m )
C" » Concentration of chemical  (ppt  by volume in  air and ppt by
     weight in other compartments)     .                      .  "'
c  = Concentration of soil or sediments in soil or sediments
 s                                   3
     compartments, respectively  (g/m )
D =  Transfer coefficient for transfer between subcompartments
     (mol/yr. atm)
f =  Fugacity of chemical (atm)
                                 o       mm Iff*
H ~  Henry's Law constant (atm m /mol) ( "Tjr:  in Neely's equations)
I =  Rate of input of chemical into  model  environment or a specific
     subcompartment (mol/yr)               •
i,j =  Used as subscripts to identify  subcompartments.  See
       Subscripts below.
K =  Overall (or total) first-order  degradation rate constant  for
     chemical (yr  )
k =  First-order degradation rate  constant for chemical (yr )
K,, =  Overall gas mass transfer coefficient  for volatilization  (m/yr)
 u
K   =  Soil or sediment adsorption coefficient base  on organic
       carbon content
K   = Octanol water partition coefficient
K  = Soil adsorption coefficient
M =  Mass of chemical  (mol)
MW = Molecular weight  (g/mol)
N = Steady-state transfer rate  for chemical between  two subcorapart-
    ments (mol/yr)
 (oc) ** Organic carbon  content of soil  or  sediment (%)
P   *» Vapor pressure of chemical  (mm Hg)
                                 VII-1

-------
                           -5      3
R -  Gas constant (8.2 x 10   atm ID /mol deg)
R  = Total rate of removal of chemical from subcompartment i (mol/yr)
S «  Solubility of chemical (mg/L) (mM/L in Neely's equations)
T = Temperature (K)
•1/2
       Half-life for clearance from fish (hr)
t = Mean residence time of chemical.in model environment  (yr)
                                            3
V » Accessible volume of a subcompartment (m )
y « Fraction of aquatic biota that can be considered equivalent
    to octanol
Z - Fuacity  coefficient  (tool m /atm)
Subscripts (i)
1
2
3
4
5
6
Level I Calculations
Air
Surface water
Suspended sediments
Bottom sediments
Aquatic biota
Soils
Level II and III Calculations
Air
Surface water
Bottom sediments
Soils
                                 VII-2

-------
                        •• .VIII. -REFERENCES
Blau, G.E. and W.B. Neely, "Mathematical Model Building with an Applica-
tion to Determine the Distribution of Dursban Insecticide Added to a
Simulated Ecosystem," Adv. Ecol. Res.', £:133 (1975).

Callahan, M.A. jjt al., Water-Related Environmental Fate of 129 Priority
Pollutants, U.S. Environmental Protection Agency, Report No. EPA-440/
4~79-029a and b (1979),

Gledhill, W.F., R.G. Kaley, W.J. Adams, 0. Hicks, P.R. Michael, V.W.
Saeger and G.A. LeBlanc, "An Environmental Safety Assessment of Butyl
Benzyl Phthalate," Environ. Sci. Technol., 14:301-05  (1980).

Kenaga, E.E. and C.A.I. Goring, "Relationship Between Water Solubility,
Soil Sorption, Octanol-Water Partitioning, and Bioconcentration of
Chemicals in Biota," prepublication copy of paper dated Oct. 13, 1978,
given at the Third Aquatic Toxicology Symposium, American Society for
Testing and Materials, New Orleans, LA, October 17-18, 1978 [Symposium
papers published by ASTM, Philadelphia, PA, as Special Technical
Publication (STP) 707 in 1980.]

Mackay, D., "Finding Fugacity Feasible," Environ. Sci. Technol., 13;
1218-23 (1979).

Neely, W.B. (Dow Chemical Co., Midland, MI), "An Integrated Approach
to Assessing the Potential Impact of Organic Chemicals in the Environ-
ment," preprint of paper presented at the workshop on "Philosophy and
Implementation of Hazard Assessment Procedures for Chemical Sub-
stances in the Aquatic Environment," held August 14-18, 1978 in
Waterville Valley, NH (1978a).

Neely, W.B., "A Method for Selecting the Most Appropriate Environmental
Experiments that Need to be Performed on a New Chemical," in Preprints
of Papers Presented at the 176th National Meeting,  Miami Beach, FL,
September 10-15, 1978;  American Chemical Society,  Division of Environ-
mental Chemistry,  Vol.  18, No. 2, p. 336-7 (1978b).

Neely, W.B.  and G.E.  Blau, "The Use of Laboratory  Data to Predict the
Distribution of Chlorpyrlfos in a Fish Pond," in Pesticides in the
Aquatic Environment,  Plenum Publishing Co.,  New York (1977).

Neely, W.B., "A Preliminary Assessment of the Environmental Exposure
to be Expected from the Addition of a Chemical to  a Simulated  Aquatic
Ecosystem,"  Int. J.  Envron. Sci.  (1978c).

Tabak, H.H., Blodegradability Studies with Priority Pollutant Organic
Compounds, Staff Report  (Draft), U.S. Environmental Protection Agency,
Environmental Research Center, Cincinnati, Ohio (1980).
                                VIII-1

-------
Thomas, R.G., "Volatilization from Water," draft report in Monthly
Report No. 18 submitted by Arthur D. Little, Inc., to the U.S. Army
Medical Research and Development Laboratory, Fort Detrick, Frederick,
MD, under Contract No. DAMD17-78-C-8073 (April 7, 1980).

Veith, G.D., K.J. Macek, S.R. Petrocelli and J. Carroll, "An Evaluation
of Using Partition Coefficients and Water Solubility to Estimate Bloeon-
centration Factors for Organic Chemicals in Fish," J. Fish. Res. Board.
Can. (1980).
                                  VII1-2

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