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HEPTANE–WATER SYSTEMS      59

            from the unique molecular structure of n-octanol, which possesses a nonpolar
            chain of moderate size and a hydrophilic OH group; these impart to the mol-
            ecule a unique polar-to-nonpolar balance with a weak-to-moderate polarity.
            This unique molecular property empowers octanol to accommodate a wide
            range of organic compounds with comparable solvencies through its hydro-
            philic OH and/or its nonpolar alkyl chain. As a consequence, the g* o values of
            a wide range of sparingly water-soluble solutes fall into a small range. We shall
            see later that the partition effects of solutes in some other solvent–
            water systems share some common features with those in the octanol–
            water system, while other systems manifest important differences in solute
            partition behavior as a result of large discrepancies in solvent composition and
            polarity.



            5.3 HEPTANE–WATER SYSTEMS

            The  n-heptane/water mixture offers an extreme but instructive system for
            examining important differences in the partitioning of polar and nonpolar
            compounds into a highly nonpolar organic phase. As with the octanol–water
            system, the molecular-size differences between most solutes and heptane are
            usually not too large to negate the use of Raoult’s law for treating solute par-
            tition with heptane. Note here that the mutual solubility of heptane and water
            is very small at room temperature, the solubility of heptane in water being
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            about 9.5  ¥ 10 M and that of water in heptane being 5.3  ¥ 10 M. Thus,
            Eq. (3.11) can be simplified by treating the molar volumes of water-saturated
            heptane and heptane-saturated water to be essentially the same as the molar
            volumes of the respective pure solvents. A further approximation can be made
            by assuming that the small amount of heptane in water has no significant effect
            on the solubility of solutes in the water phase. With these simplifications,
            Eq. (3.11) is reduced to

                               logK hw =-logS w - logV h - logg h          (5.4)

            where K hw is the heptane–water partition coefficient of the solute, V h the molar
            volume of heptane (0.146L/mol), and g h the activity coefficient of the solute
            in heptane. The ideal line for the heptane–water system is therefore
                                   logK° hw =-logS w - logV h              (5.5)

            where logK° hw - logK hw = logg h applies for a solute at a particular logS w .
              The K hw values for a series of organic solutes and the corresponding K ow
            values at room temperature are given in Table 5.2 for comparison. If polar and
            nonpolar solutes should exhibit comparable compatibilities with heptane as
            with octanol, an equally good linear correlation would exist between logK hw
            and logS w , as noted for the octanol–water system. However, as shown in
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