Page 106 - Chemical equilibria Volume 4
P. 106

82     Chemical Equilibria
                             Temperature  T i is  known as the temperature of inversion of
                           reaction [3R.17].
                           3.3.2.7. Ellingham diagram for a metal with multiple oxides – diagram
                           for iron
                             Certain  metals are capable of forming several different oxides. A
                           particularly interesting case is that of iron  oxides, with three compounds
                           elementary iron, iron monoxide FeO, and tri-iron tetroxide Fe 3O 4. Between
                           those components, we can write three reactions represented by an Ellingham
                           line:

                                2Fe + O 2 = 2FeO                                        [3R.18]


                                6FeO + O 2 = 2Fe 3O 4                                   [3R.19]
                                3/2Fe + O 2 = 1/2Fe 3O 4                                [3R.20]

                             As these three reactions are not independent, their standard Gibbs
                           energies are linked to one another by the relation:

                                        1        3
                                 Δ   0    Δ g =  0  Δ g +  g 0                           [3.56]
                                  20
                                        4  19    4  18
                             Figure 3.10(a) gives the representation of the three Ellingham lines,
                           which intersect at temperature T t = 825 K.

                             The straight line pertaining to equilibrium  [3R.20] is situated between
                           those representing the equilibria [3R.18] and [3R.19].

                             Let us first place ourselves at a temperature lower than 825 K. By
                           consideration of the stable components in relation  to each curve, we can
                           easily show that there is only compatibility between the  curves if  we
                           conserve that relating to the equilibrium  [3R.20] (Figure  3.10(b)), and
                           therefore two zones of stability: one for metal iron (bottom) and the other for
                           tetroxide (bottom).

                             On the other hand, below the temperature of 825 K, it  is easy to
                           demonstrate that we can only conserve (Figure 3.10(b)) the curves relative to
                           the equilibria [3R.20] and [3R.16], and therefore ultimately the three zones
                           of stability illustrated in Figure 3.10(c).
   101   102   103   104   105   106   107   108   109   110   111