United States
                     Environmental Protection
                     Agency
Environmental Research
Laboratory
Duluth MN 55804
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                     Research and Development
EPA-600/S3-83-088  Dec. 1983
&EPA          Project  Summary

                     Adsorption  and   Desorption
                     of  Hexachlorobiphenyl
                     D.M. DiToro, LM. Horzempa, and M.C. Casey
                       The experimental and theoretical re-
                     sults that lead to the development mod-
                     el for the analysis of adsorption  and
                     desorption of hexachlorobiphenyl from
                     suspended and sedimented particles
                     are discussed.
                       The reversibility of the adsorption
                     reaction between dissolved organic
                     chemicals and naturally occurring soils.
                     sediments, and suspended particles is
                     of" fundamental  importance in  the
                     understanding  of the fate of these
                     chemicals in the environment. The issue
                     of reversibility becomes critical if the
                     adsorption-desorption behavior of a
                     chemical is to be expressed quantitative-
                     ly within  the  framework of mass
                     balance equations. In the formulations
                     used to date, with a notable exception
                     to be discussed below, the formulations
                     used to express  the adsorption  and
                     desorption reactions assume reversible
                     behavior, that is, at equilibrium,  the
                     same  isotherm  applies for  adsorption
                     and desorption.
                       The difficulty with this assumption is
                     that for many organic chemicals  and
                     many  naturally  occurring adsorbents,
                     laboratory adsorption and subsequent
                     desorption experiments demonstrate
                     only partially reversible behavior.
                       In the experiment described in Part A
                     of the final report, this nonsingular
                     behavior was confirmed  and, using
                     various experimental procedures, it was
                     found to persist, which suggests that it
                     is necessary to account for this behavior
                     in a quantitative and consistent way.
                       In  Part B  of the final  report, a
                     framework, is presented within which
                     this nonsingular behavior can be analyzed
                     in a manner that can be easily incorporated
                     into mass balance calculations.
                       This Project Summary was developed
                     by EPA's  Environmental Research
Laboratory, Duluth. MN, to announce
key findings of the research project that
is fully documented in a separate report
of the same title (see Project Report
ordering information at back).


Introduction
  The purpose of the final  report,
summarized herein, is to present the
experimental and theoretical results that
lead to the development model for the
analysis of adsorption and desorption of
hexachlorobiphenyl from suspended and
sedimented particles. In contrast to the
desorption reaction, a large body of
information already exists for the adsorp-
tion  reaction. Several authors have re-
ported relationships that relate the extent
of adsorption  of organic chemicals to
their  characteristics such as aqueous
solubility and adsorbent properties such
as specific surface area and  organic
carbon content.
  This is not the case, however, for the
desorption reaction. The available informa-
tion, to be discussed in more detail below,
indicates that for a great many organic
adsorbent systems the desorption reaction
is not completely or even  moderately
reversible. As a consequence, the assump-
tion  of reversible behavior  is  neither
justified nor realistic, and it is not possible
to directly apply the large body of
adsorption  theory and data to describe
desorption since,  for nonreversible
systems, it  is not the same reaction.
  This is unfortunate since it is not clear
how to incorporate nonreversible behavior
into  modeling frameworks that have
been, and are being, developed by EPA
and other groups for the computation of
the fate  of toxic chemicals  in  natural
waters. If  the adsorption were either
completely reversible, or completely

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irreversible so that no desorption occurred,
then  it would be straightforward to
include such behavior in a fate model.
What has been found  experimentally,
however,  is that some desorption takes
place. The amount  is variable and
depends on the details of the situation,
such as the mass of adsorbent and the
adsorbate-adsorbent pair involved.
  The  use  of a desorption "partition
coefficient" in a way that is analogous to
the  use  of the adsorption partition
coefficient in fate computations, is not a
solution to the problem since the actual
quantity of chemical desorbed when
exposed to lower aqueous concentration
is not  directly related  to only the
desorption partition coefficient but also to
the quantity  of chemical  previously
adsorbed. As it happens, for the desorption
model  described below, the desorption
partition coefficient does have a specific
meaning, which the model clarifies, but it
cannot be used directly in fate computations.
Without a  specific model for nonreversible
desorption, it is  not surprising that this
mechanism has not  been explicitly
included in fate computations.
  The nonreversible behavior of adsorption
and desorption can have important
consequences for the fate of chemicals in
natural waters. As inputs  of  toxic
chemicals are reduced, the desorption of
already existing toxic  chemical from
suspended solids  and  sediments will
constitute the major inputs of dissolved
toxicants  into the water column. The
magnitude and extent of this reaction can
control the environmental distribution
and the exposure level for the biota. If the
quantity of chemical desorbed is much
less than  the quantity initially adsorbed
then  assuming completely reversible
behavior can significantly overestimate
the  dissolved chemical in the  water
column. This overestimate may translate
into an underestimation of the impact of
remedial  measures such as discharge
reductions via treatment of effluents.
Hense, a  quantitative understanding of
the factors that influence the behavior of
the desorption reaction is  an  essential
component for understanding the fate of
toxic chemicals in natural waters and the
consequences of remedial actions.

Summary
  As  part of  the  effort at  Manhattan
College to formulate and test mathematical
models of the fate of RGB's in the Great
Lakes, a series of experiments have been
conducted using tritiated  hexachlorobi-
phenyl (abbreviated as HCB) as the
adsorbate and natural  sediments and
inorganic clays as the adsorbents. The
experiments concentrated on the desorp-
tion  behavior  as  well  as conventional
adsorption  tests. Nonreversible desorp-
tion occurred, and an effort was made to
formulate a model which explained the
data.
  It was assumed that the adsorbed HCB
was made  up  of two components: an
exchangeable  component which readily
and  reversibly desorbs and readsorbs
depending upon aqueous phase concentra-
tion, and a second component, which was
termed nonexchangeable, which resisted
desorption until very low(or possibly zero)
aqueous concentrations. This idea is
often used to explain nonreversible
behavior in qualitative terms, e.g., physi-
cal versus chemical adsorption. Methods
were developed for calculating the
quantity of the exchangeable and nonex-
changeable components from the experi-
mental adsorption  and desorption data.
This is the  unique feature of the model
since it gives  quantitative estimates of
the magnitudes of these components. An
analysis of the individual behavior
suggested that each was describable in
terms of (distinct) linear isotherms. This
regular behavior, for both natural sediments
and inorganic clays, represents a significant
simplification and codification of a large
quantity of adsorption and desorption
data in terms of distinct partition coefficients
for the exchangeable and nonexchangeable
components. Subsequent consecutive
adsorption  experiments confirmed the
distinct behavior of the two components
and supported  the validity of the model.
  The fact that two distinct isotherms are
found for the adsorption and desorption
data indicates  that the desorption  is not
completely  reversible. Consider a single
pair  of points corresponding to a single
adsorption-desorption experiment. If it
is assumed that  continued desorption
cycles follow  a  straight  line,  then the
intersection of this line and the ordinate
defines the particulate  concentration
which is nonexchangeable  (since it
remains  on the particles even at zero
aqueous concentration). Once the nonex-
changeable component concentration, r0,
has been found, the differences between
this concentration and  that  found at
adsorption and desorption equilibria
must be the  exchangeable component
since two components are assumed to be
present. The fact that it responded to the
decrease in aqueous concentration that
occurred from adsorption to desorption
equilibrium supports its exchangeability.
Note that two exchangeable component
data points result: at adsorption equili-
brium, rxa, and that desorption equilibrium,
rXd. These correspond to the two aqueous
concentrations ca and Cd, respectively. If
this analysis is repeated for the remaining
two adsorption-desorption data pairs, the
result  is six pairs of exchangeable
component-aqueous concentration data.
  The validity of this analysis depends
upon the observation that all the exchange-
able component data conform to a single
isotherm. The same isotherm applies to
all exchangeable  component data, regard-
less of whether  they correspond to the
quantity of exchangeable component that
is present at adsorption, rxa, in equilibrium
with aqueous concentration, C* or at
desorption,  rxd, in  equilibrium with
aqueous  concentration,  cd. That is, the
exchangeable component is behaving in
accordance with  classical reversible
adsorption-desorption theory.
  The three nonexchangeable component
concentrations calculated from the data
analysis  also have been found to follow
one isotherm. They are a linear function
of the adsorption aqueous concentration.
  Part  B of the final report contains
additional results of the isotherm analysis
for  HCB and a  full discussion of the
development of the proposed adsorption-
desorption  model. Part A  of the  final
report  presents further data and the
results  of  experimental modifications
designed  to eliminate experimental
artifacts as the cause of the nonreversible
behavior.

  A second focus  of the  experiments
conducted with HCB was the effect of the
mass of adsorbent on the partition
coefficients. It had been observed from an
analysis of published data that adsorption
partition  coefficients decrease as adsor-
bent mass  increases. This phenomenon
was investigated for HCB adsorption and
also for desorption. It was found to occur
for both reactions. If the data is interpreted
in terms of exchangeable and nonexchange-
able components, the nonexchangeable
partition  coefficient is essentially inde-
pendent of  adsorbent mass, whereas the
exchangeable partition coefficient is
inversely proportional to adsorbent mass.
The adsorption and desorption partition
coefficients are seen to decrease  as
adsorbent mass,  m, increases. Note that
the extent  of irreversibility  increases as
mass increases.  That is, the desorption
partition coefficient becomes increasingly
larger  than  the adsorption partition
coefficient  as adsorbent mass increases.
The exchangeable partition coefficient is
seen to be  inversely proportional to mass
whereas the  nonexchangeable partition
coefficient  is independent of mass. This |

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suggests a definition of an exchangeable
distribution coefficient: vx= ir^m which is
also mass independent.
  The variation of these mass-indepen-
dent parameters as functions of sediment
properties has been examined.  The
details, together with additional data and
a more  complete description of the
adsorbent mass effects are given in Parts
A and B of the final report.
  The result of this combined experimental
and  modeling program is a quantitative
framework within which it is possible to
predict the adsorption, and more signifi-
cantly, the desorption  behavior of hexa-
chlorobiphenyl as a function of adsorbent
mass and its characteristics.
  The  importance of the  interaction
between modeling analysis and experimen-
tal design in such an investigation cannot
be overemphasized. The exchangeable-
nonexchangeable model was formulated
as a consequence of the need to organize,
synthesize, and understand the experimen-
tal  data. Once the  hypothesis  was
formulated in quantitative terms, it was
possible to design experiments to test the
model  predictions  and illucidate the
relevant features. The dual capability to
do the experiments and formulate the
models  within  a cooperating group  is
essential  if progress is  to  be made in
formulating and testing rational, quantita-
tive descriptions of complex phenomena
such as the desorption reaction.

Implications for Receiving
Water Fate Models
  The use of models for the computation
of toxic  chemicals  exposure levels  in
natural waters is currently an important
component of  rational  toxic chemical
regulation and control. The development
of EXAMS by EPA models for PCB, radionu-
clides and toxic heavy metals in the Great
Lakes by Manhattan College, and other
investigations, are currently in progress.
These models have a common approach
in dealing with the adsorption-desorption
reaction.
  The  mass balance  equations are
written in terms of total chemical, CT, with
the transport and kinetic terms suitably
modified with the fraction of chemical in
the dissolved, fd, or particulate fp,  form
depending on whether the terms in the
equation apply to particulate or dissolved
phases. As an example,  consider a two-
layer segmentation representing the
water column of depth Hi, and an active
sediment layer of  depth  H2.  These
interact via vertical mixing of the aqueous
phases, with mass transfer coefficient KL;
and settling  and resuspension of the
particulate.phases, with velocities wa and
wrs respectively.  The governing  mass
balance equations are:
           dt
       Waf plCTI + Wref p2CT2 + W
              = KL(fdCT,-fd2CT2)
dt
Wafp|CT|-Wrefp2CT2
                                  (2)
where CTI and cT2 are the total chemical
concentrations in the water column and
sediment  layers  respectively, and W is
the input mass  loading rate (M/L2/T).
Note  that the  central  roles of the
dissolved fdi and fd2 are particu late (f Pi and
fp2> fractions  in  the water  column and
sediment  segments,  respectively. They
directly affect the magnitudes of the mass
transfer coefficients and, therefore, the
fate of the chemical. A more complex fate
computation  would  include terms  for
outflow,  the various appropriate decay
mechanisms, and sedimentation losses.
However, the principle  is still the same.
Once the total concentration is computed,
the dissolved water column concentration
is given  by:  cdi = fdiCri, with analogous
expressions for the particulate concentra-
tion. Again, the particulate and dissolved
fractions play a  central role, and these
fractions are a direct  result of the
adsorption-desorption model employed.
  For  completely reversible adsorption-
desorption and  a linear  isotherm, the
dissolved  and particulate  fractions are
given  by:
                 1
                 PITT
                                  (3)
                                  (4)
where TT is  the reversible partition
coefficient  and  m  is the  adsorbent
concentrations. The subscripts 1 and 2 in
equations (1) and (2) refer to evaluating
these fractions  using the appropriate
adsorbent concentration in segments 1
and 2.
  For the HCBC exchangeable-nonex-
changeable component model of adsorp-
tion-desorption, these fractions depend
upon the model parameters: TTO, the
partition coefficient for the nonexchange-
able component; and i/*, the distribution
coefficient for the exchangeable compon-
ent; and the maximum dissolved aqueous
concentration to which the particle has
                               been exposed: Cmd. This latter concentra
                               tion sets the magnitude of the nonexchange-
                               able component. It can be shown that the
                               dissolved and particulate fractions are
                               given by the expressions:
                                               fd =
                                                           1
                                      , _
                                      Tp -
                                         1 + Vx + m TTofCmd/Cd)
                                                    Vx +
                                                   1  + Vx +
(5)
(6)
                               where cd is the current dissolved aqueous
                               phase concentration. The  conventional
                               expression, assuming reversible behavior
                               is also shown. There  is  a  significant
                               difference between  the conventional
                               reversible formulation and the exchange-
                               able -  nonexchangeable  model. The
                               particulate fraction  is always a substan-
                               tial portion of the total chemical concen-
                               tration, even  at  low suspended  solids
                               concentrations that are  characteristic of
                               most receiving waters  (10-100  mg/l).
                               This suggests that fate computations
                               using the exchangeable-nonexchangeable
                               model will give quite different  results
                               which  emphasize  the  importance of
                               particle transport.

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      D.  M. Di Toro, L. M. Horzempa, and M. C. Casey are with Manhattan College,
        Bronx, NY 10471.
      W. R. Richardson is the EPA Project Officer (see below).
      The complete report, entitled "Adsorption andDesorption ofHexachlorobiphenyl:
        A. Experimental Results and Discussions; B. Analysis of Exchangeable and
        Nonexchangeable Components," (Order No.  PB 83-261  677; Cost: $25.00,
        subject to change) will be available only from:
              National Technical Information Service
              5285 Port Royal Road
              Springfield, V'A 22161
              Telephone: 703-487-4650
      The EPA Project Officer can be contacted at:
              Large Lakes Research Station
              Environmental Research Laboratory-Duluth
              U.S. Environmental Protection Agency
              9311 Groh Road
              Grosselle,MI48138
                                                   •frUS GOVERNMENT PRINTING OFFICE 1983-659-017/7236
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