Page 96 - [B._MURPHY,_C._MURPHY,_B._HATHAWAY]_A_working_meth
P. 96

80                                                  Chapter 6
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                               Voltmeter        current I


                                    1      +ions  -.+
                                 Salt Bridge

                            CottonWool




          WAnodt                                        WCathode

       Figure 6.8  Schematic diagram of a galvanic cell

             where the RHE is the cathode. Note that if the LHE transpires
             to be more positive than the RHE, this signifies a non-sponta-
             neous cell, as normally EoRHE will  be greater (i.e. more  +ve)
             than EoLHE (more - ve) for a spontaneous galvanic cell.
          9.  Apply the Nernst equation:
             E  = Eocell - (RT/uF)ln K, where: R  = Universal Gas Constant
             = 8.314 J K-'  mol-'  (given in question); T  = temperature in
             K  (not  "C) (standard  state conditions  imply 298  K, i.e. 25°C
             and  1  bar pressure); F  = 96 500 C mol-'  (given in  question);
             Eoce.l  =  EORHE  - EoLHE in  V,  obtained  from step 8; K  =
             equilibrium constant; u  = defined and determined previously in
             step 6. Remember also that at equilibrium, E  = 0.
         10. Determine E, K  or whatever unknown  parameter  is required,
             and do not forget to state the units!
         11. Answer  any  riders  to  the  question,  e.g. determination  of  the
             solubility product, Ksp, etc.
         Examples 1-4 now apply this working method.

       1  Example No. I: Draw the cell represented by:
        P~(~)IHz(~)IH+(~~)IIC~-(~~)IA~C~(~)IA~(~)
        where E" (Ag(s)(AgCl(s)ICl-(aq)) =  +0.222  V. If the cell was short-
        circuited, indicate clearly on the diagram the cathode, the anode,
        the direction of spontaneous current, the electron flow and the ion
        flow. Write down the two respective half-reactions and the net cell
        reaction. Determine the equilibrium constant of the reaction at 298
        K, given that R = 8.314 J K-'  mol-'  and F  = 96 500 C mol-'.
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