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26
                                                               0
                                                            S
                                                                             W
                                                                          S
                                               E =E – E =l/F∆ W α Ag + RT/F ln(a ± /a± ) Zbigniew Koczorowski
                                                                                          (10)
                                                      3
                                                   2
                                   at the same concentrations in both solvents and assumes that the surface
                                   potentials of the solvents are unmodified by the presence of low amounts
                                   of AgClO  i.e., <10  mol dm  (see Section XII). The method was applied
                                                          –3
                                                   –2
                                           4
                                   to many solvents, among others, to methanol, ethanol, propanol, butanol,
                                   ethylene glycol, acetonitrile, acetone and  γ-butyrolactane, as well as to
                                   mixtures of some organic solvents with waters 56–63
                                       According to Eq. (2), the real and chemical energies of transfer differ
                                   by the term  containing the  difference in  surface  potentials  of  a  given
                                   solvent and water (see  Section  XIV).
                                                    VII.   REAL ION ACTIVITY
                                   Rabinovich et al. have shown that it is possible to propose an extrather-
                                                                        *
                                   modynamic definition of single-ion activity, a , as a function of the real
                                   potentials of those particles. 64–66  By carrying out the measurements of
                                   voltaic cells containing electrodes reversible to the same ionic species in
                                   solutions of different concentrations in the same solvent,


                                                                                          (IV)



                                   it is possible  to  find the ratio  of the real  activities  of the M+ ions  in both
                                   solutions:
                                                                  S
                                                                a
                                               E = RT/F In a /a + ∆ a χ = RT/F In a /a 2 *  (11)
                                                                             *
                                                                1
                                                            2
                                                          1
                                                                             1
                                                                2
                                   Therefore the real and chemical ionic activity coefficients are related by
                                   the formula:
                                                                       a
                                                      .
                                                      * 1
                                                    γi /γ i = γ /γ exp  z F∆ a χ/RT       (12)
                                                         * .2
                                                                        1
                                                                    i
                                                             i
                                                               i
                                                                        2
                                   If the concentration change in the surface potential, ∆ a χ, is close to zero
                                                                              a 1
                                                                               2
                                   (see Section XII), the real  and chemical activities are the  same.
                                       On the basis of this definition, one can determine, for instance, the
                                    activity  of electrolytic  solutions  in  terms  of the  “real”  hydrogen  ion
                                          65
                                    activity. Rybkin et al. found that the  ∆χ effect may be stabilized by
                                                      66

                                    adding surface-active substances in small quantities to the solution. Ac-
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