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64    CONTAMINANT PARTITION AND BIOCONCENTRATION

                                                                          (5.6)
                                    p X = logK X - logK R
           where  K R is the partition coefficient of the parent solute (molecule) and
           K X is that of the substituted solute with a given solvent–water system. For
           substituted aromatic solutes, benzene is commonly chosen as the parent
           (or reference) compound.
              Since p X is a derived quantity, the factors that affect it must be contained
           in the expression for partition coefficient, as illustrated with K ow and K hw .In
           the absence of a specific solute interaction with a solvent or the dissociation
           of the solute, the p X in octanol–water and heptane–water systems is accounted
           for by Chiou et al. (1982a) by substituting Eqs. (5.1) and (5.4) into (5.6) to
           give, respectively,

                      p X (oct-water)   log[(S w ) R (S w ) X ] - log[(g* o ) X (g* o ) R ]  (5.7)


           and

                      p X(hep-water)   log[(S w) R (S w) X] - log[(g h) X (g h) R]  (5.8)

           where the log(g w/g* w) term has been neglected because its contribution is small
           for most solutes in these two systems. If one designates the first term on the
           right-hand sides of Eqs. (5.7) and (5.8) as

                                                                          (5.9)
                           log[(S w) R (S w) X] = log[(g w) X (g w) R] =D X
           in which D X indicates the change in solute solubility or activity coefficient in
           water when substituent  X is incorporated into the parent molecule, one
           obtains

                            p X(oct-water)   D X - log[(g* o) X (g* o) R]  (5.10)

           and


                            p X (hep-water)   D X - log[(g h ) X (g h ) R ]  (5.11)

           By Eqs. (5.10) and (5.11), the substituent contribution to solute partition co-
           efficient can be estimated in terms of the water solubilities of parent and sub-
           stituted molecules and their compatibilities with a specific solvent.
              The  p X (oct-water) and  p X (hep-water) values for solutes calculated from
           their K ow and K hw data and the respective D X values from their liquid S w or
           g w values using benzene as the parent molecule are presented in Table 5.3. A
           plot of p X (oct-water) versus D X is given in Figure 5.3, and a similar plot of
           p X (hep-water) versus D X is given in Figure 5.4. As noted, the p X (oct-water)
           values approach the  D X values for all nonpolar substituents (e.g., alkyl and
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