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264 CHAPTER 3

































           where    is  the  metal ion’s activity in solution. Now the reaction that goes on at an
           electrode when an ion in solution exchanges electrons with the electrode can be written
           as





           Clearly, one has to make an allowance for the electron in the Nernst-type theories—
           which are thermodynamically valid (model free) and therefore can be used today. This
           was done by a term   (potential × the electronic charge = energy in electrostatics).
           The E was thought of by Nernst as the potential between the metal and the solution.
                                                         13
               Now, the thermodynamic equilibrium for Eq. (3.100)




           Substituting  from  Eq.  (3.99),




           or



           13
            The negative sign arises because  the  magnitude of the charge on the electron, bears a negative sign.
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