Page 111 - Chemical equilibria Volume 4
P. 111

r
                                                                     Molecular Chemical Equiilibria     87
                                                                 n
                                                       a
                           3.3.2.10. Ellingham diagram and solutions solids
                                            m
                                 h
                                                      d
                                            e
                                                                            t
                             In the case  where the solids involved  in the reaction belong  to solid
                                                                           f
                                                       p
                                                                 x
                                           v
                                 n
                           solutions, their activities play a part in the expression of the affinity which is
                                           u
                                 e
                                                      r
                           cancelled out at equilibrium, for a metal oxide MO, in accordance wiith:
                                                                            c
                                                                 d
                                                                  ⎛ P   a (I)  ⎞ ⎞
                                                      Δ g +
                                                                         M
                                 A = A
                                                              T
                                 A     0  − RT lnQ (I)  =−Δ r  0  Rln ⎜  O 0 2  x  (I) ⎟ ⎟ =  0  [3.63]
                                           T
                                                                  ⎝  P  a MO ⎠ ⎠
                             At equilibrium, we obtain the expression of the standard Gibbs ennergy:
                                                                            a
                                 q
                                           w
                                                      e
                                            ⎛  P   a (I)  ⎞ ⎞
                                 Δ Δ g = Rln ⎜  O 0 2  ×  M                               [3.64]
                                    0
                                         T
                                           n
                                                    (I) ⎟
                                  r
                                            ⎝  P   a MO ⎠ ⎠
                                                                 a
                                 s
                             Thus, we can use the Ellingham diagram, but the  scale of thee oxygen
                                            s
                                                       g
                                                            P     a (I)
                                                      o
                                 e
                                           v
                           pressures in fact gives us the product   O 2  ×  M  .
                                                                   (I)
                                                            P 0  a a MO
                                                      d
                                   Figure 3.12. Ellingham diagrams for the oxidations by gaseous
                                                                 h
                                            2
                                                                            ?
                                           w
                                                       o
                                    oxygen (www.google. com/patents/EP1218556B1?cl=fr,2004)
                                                                 P
   106   107   108   109   110   111   112   113   114   115   116