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54   C h a p t e r   4                           C o r r o s i o n   T h e r m o d y n a m i c s    55


                      such  as  ions  are  the  product  of  the  molar  concentration  and  the
                      activity coefficient of each chemical species (i):
                                           a i  = γ i [ ] ≈  [ ]           (4.14)
                                                      i
                                                 i
                                                  i
                         The activity coefficient (γ ) in Eq. (4.14) can be a complex function
                                              i
                      highly dependent on a multitude of variables often difficult to even
                      estimate. For this reason it is usually convenient to ignore (γ ) and use
                                                                        i
                      the concentration term [i] as an approximation of a .
                                                                i
                 4.4  Thermodynamic Calculations
                      The present section illustrates how calculations from basic thermody-
                      namic  data  can  lead  to  open-circuit  cell  potential  in  any  condition
                      of temperature and pressure. Chemical power sources, with the excep-
                      tion of fuel cells, are all based on the corrosion of a metal connected to
                      the negative terminal. The aluminum-air power source, that owes its
                      energy to the corrosion of aluminum in caustic, was chosen for this
                      example because of the relative simple chemistry.

                      4.4.1  The Aluminum-Air Power Source
                      The high electrochemical potential and low equivalent weight of alu-
                      minum combine to produce a theoretical energy density* of 2.6 kWh/
                      kg and make it an attractive candidate as an anode material in metal/
                      air electrochemical cells. The development of aluminum-based cells
                      dates back to 1855 when M. Hulot described a voltaic cell containing
                      aluminum with an acid electrolyte. Since then, many attempts to sub-
                      stitute aluminum for zinc in zinc/carbon and zinc/manganese diox-
                      ide cells have been reported.
                         Figure 4.2 shows a general schematic of a typical aluminum-air
                      system. Tables 4.3 and 4.4, respectively, contain thermodynamic data
                      FIGURE 4.2                                    Load
                      Schematic of
                      an aluminum-air
                      power source.                      e –







                                                   Aluminum                Air
                                                    anode                cathode


                                                   KOH
                                                 electrolyte
                      * Characteristic parameter of a battery indicating the amount of electrical energy
                       stored per unit weight or volume.
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