Page 102 - Chemical equilibria Volume 4
P. 102

78     Chemical Equilibria
                                 Δ
                                  2
                             Hence:  0  k Δ g =  1 g 0                                   [3.49]
                                  HM =  k HM 1                                          [3.49a]
                                     2
                             We can deduce from this that the two equilibrium pressures are such that:
                                 Rln P =  k R ln P 1                                     [3.50]
                                            T
                                  T
                                       2
                             Thus:
                                 ln P =  k  ln P                                         [3.51]
                                    2      1
                             The y’y axis, therefore, is an axis of a linear scale of the logarithms of the
                           partial pressures, and thus a logarithmic scale of those pressures. This axis is
                           often divided into bars, in accordance with the logarithmic scale.




















                                  Figure 3.7. Ellingham diagram and oxygen pressure at equilibrium


                             When we know those properties, it is easy to determine the oxygen
                           pressure at equilibrium at a certain temperature, using the graph. In order to
                           do so (see Figure 3.7b), consider the equilibrium between copper and copper
                           oxide; we determine the point M (at 1000°C on the figure) and the line ΩM,
                           which we stretch to that y’y axis, on which we read the equilibrium pressure
                                                                                   -6
                           between copper and copper oxide at 1000°C, which is around 10  bars.
   97   98   99   100   101   102   103   104   105   106   107