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110 CHAPTER 2
























            late the                              plot to  infinite  radius,  i.e., to
                                                               is then  equal  to
                           or
               Once one has thus obtained the experimental absolute heat of hydration of the
            proton,  one  can use it  in  combination with  experimental values  of   -containing
            electrolytes (e.g., HC1) to obtain absolute values of the heat of hydration of other ions,
            (Table 2.13). Such an approach has a better basis than an older method in which the
            salt considered had equal radii and the absolute heat of solvation of each was equal to
            half that  of the  whole. However,  this  assumption of the  equality of the  heats of
            hydration of ions with the same radius is just not true (Fig. 2.32).
               Conway and Soloman corrected Halliwell and Nyburg’s (1963) value for the
            numerical value of the dipole moment of water and got    Then, Lister,
            Nyburg, and Doyntz reattacked the calculation using a different series of ions of the
            same size. They got
               The best value in the late 1990s is    (cf. the original value of –1113).
            As stated earlier, knowledge of the absolute heat of hydration of       allows individual
            heats of hydration of anions to be  obtained from the  corresponding heats  for  an
            electrolyte, HX. Knowing the individual heats for some typical   ions allows one to
            couple these values with the heats of hydration of MXs and obtain individual values
           for   ions. A few values are given in Table 2.13.

            2.15.8. How Can Temperature Coefficients of Reversible Cells Be
                   Used to Obtain Ionic Entropies?

               In Section 2.13, it was shown how it is possible to obtain the entropy of solvation
            for an electrolyte, but that left open the separation  into the individual  entropies of
            solvation for each ion.
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