Page 149 - Basic physical chemistry for the atmospheric sciences
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Oxidation-reduction  reactions            1 3 5



                      Is this a spontaneous reaction?
            6 . 2 2.   What is the value of the equilibrium constant for the redox
                     reaction given in Exercise  . 2 1 ? What do you conclude from
                                             6
                     this value?
            6.23 .   Calculate  the  initial  electric potential difference  i n   an  elec­
                     trochemical  cell at 250K, and the initial change in the Gibbs
                     free energy (.:lG) associated with the redox reaction
                                         2
                                Cd(s) + Cu + (aq)� Cd 2  + (aq) + Cu(s)
                     when the species are present in the following concentrations
                                                           z
                                        z
                     [Cd(s)] =  3 . 00  M  ,   [Cu + (aq)] =  1 . 50 M,  [Cd + (aq)] = 0.500 M ,
                     and  [Cu(s)] =  0.750  M  .   Is  the reaction spontaneous ?
            6.24.    Automob l e  batteries  often consist of six cells  connected in
                              i
                     series. The following redox reaction occurs in each cell
                              Pb(s) + Pb0 (s) + 4H + (aq) + 2SO� - ( aq)�
                                        2
                                       2PbSOis) + 2H20(1)
                      What is  the  maximum voltage that this battery can generate
                     under standard conditions?
                                                       2
            6.25.    The cell potential when a Mn(s) - Mn + ( aq) couple is linked
                     to an H  + (aq) - H (g) couple is  1 . 0 1 V at 25°C when both the
                                     2
                                     2
                                                                        1
                                                                   n
                      Mn(s) and the Mn + ( aq) are present in concentratio s   of  . 0
                      M  and  the  partial  pressure  of the H 2 (g)  is  1 . 0 atm.  What  is
                     the concentration of H + (aq)? [Note: This problem indicates
                      how  an  electrochemical  cell  that  involves  H + ( aq)  can  be
                      used  to  measure  [H  + (aq)] ,  and  therefore  the pH of a  solu­
                      tion. This is the basis of a pH meter.]
            6 . 2 6.   Calculate  the  standard  electrode  potential  for  the  half­
                      reaction

                           HS03(aq) + H20(1)� HSC}.j(aq) + 2H + (aq) + 2e ...
                      I s   this reaction spontaneous under standard conditions?
            6.2 .     What is the ratio of [Fe2+ (aq)] to  [FeH (aq)] that  will  e   in
                                                                      b
               7
                      equilibrium at 25°C with seawater that has a redox potential
                      of 0.600 V ?
            6.28.     H2S(aq) + H 0 3 (aq)� S(s) +  O (g) + H20(1)  is  an  unbal­
                                N
                                                N
                      anced  redox  reaction.  What  is  the  gram-equivalent  weight
                      of H 2 S(aq) and HN0 3 (aq)?
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