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OCTANOL–WATER SYSTEMS      57

                      8






                      6
                                          °



                     Log K ow  4
                                 Ideal line (log K ow  = – log S w  + 0.92)







                      2






                      0
                              -6           -4           -2            0
                                          Log S (mol/L)
                                              w
            Figure 5.1  Ideal line for solutes in octanol–water systems and the measured
            octanol–water partition coefficients (K ow ) of substituted aromatic compounds in Table
            5.1 in relation to their water solubilities (S w ). [Data from Chiou et al. (1982b). Repro-
            duced with permission.]



            Figure 5.1 along with the ideal line for the octanol–water system. The regres-
            sion of logK ow with logS w for 36 compounds gives

                                logK ow =-0.862logS w + 0.710              (5.3)

            which extends over six orders of magnitude in S w and five orders of magni-
                                                 2
            tude in K ow with a correlation coefficient r = 0.99. As one will see later, the
            high correlation between logK ow and logS w for various solutes is closely
            related to the molecular properties of octanol.
              The significance in the use of supercooled-liquid S w values for solid solutes
            for the logK ow–logS w correlation of a group of solid and liquid solutes is
            underscored by the following examples. Consider, for instance, the S w and K ow
            values of phenanthrene and pyrene, both being solid at room temperature. If
                                                       (s)
            one were to use their respective solid–solute logS w of -5.14 and -6.18mol/L
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