Page 87 - MODERN ASPECTS OF ELECTROCHEMISTRY
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                                                –      2–  +6 H O+ 6 e –        Claude LamyAet al.
                                    CH OH + 8 OH → CO 3       2          in alkaline electrolytes
                                       3
                                                                                          (2b)
                                   whereas the electrochemical reduction of oxygen occurs at the cathode
                                   (also containing a  platinum-based catalyst),  which  corresponds  to  the
                                   positive electrode of the cell:
                                            O +4 H +4 e → 2H O       in acid electrolytes  (3a)
                                                       –
                                                   +
                                             2
                                                              2
                                                               -
                                                       –
                                            +2 H O+4 e → 4OH        in alkaline  electrolytes   (3b)
                                          O 2    2
                                   The cell potential E is thus equal to the difference between the electrode
                                   potentials of each electrode:
                                                               +  –                      (4)
                                                           E= E c –E a
                                   where the electrode potentials E are defined as the difference of internal
                                                            i
                                   potential at  each  electrode/electrolyte  interface.
                                       One main advantage of such a power source is the direct transforma-
                                   tion of the chemical energy of methanol combustion into electrical energy.
                                   Hence, the reversible cell potential, E , can be calculated from the Gibbs
                                                                 r
                                   energy change, ∆G, associated with the overall combustion reaction of
                                   methanol (l), by the equation:
                                            ∆G + nF E r = 0  leading to Er > 0 with ∆G <0  (5)

                                   where F is the Faraday constant (F = 96,500 C) and n is the number of
                                   faradays (per mole of methanol) involved in the half-cell reactions. Under
                                                       o
                                   standard conditions (25 C), the heat of combustion, i.e., the enthalpy
                                   change for reaction ( l), ∆H , is –726 kJ/mole of methanol, and the Gibbs
                                                         o
                                                   o
                                   energy change, ∆G , is -702 kJ/mole of methanol. This corresponds to a
                                   standard reversible potential for the cell, as given by the equation:
                                                      o
                                              o
                                                  o
                                             Er =Ec –Ea =  _  ∆G o  =  702 x 10 3  =1.21 V  (6)
                                                             nF     6 x 96,500
                                          o  ,E are the standard potentials of each electrode.
                                             o
                                   where E c  a
                                       The main attractions of the DMFC are its high specific energy (W s)
                                   and high energy density (W e ), the values of which are calculated as
                                   follows:
                                                  _   o             3
                                                  ( ∆G )     702 x 10
                                            Ws =          =            = 6.09 kWhr kg -l   (7)
                                                 3600 x M   3600 x 0.032
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