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3.3.2.5. Effects of changes of state of a component of the reaction in
                           a metal–oxide Ellingham diagram           Molecular Chemical Equilibria     79
                             The slope of the Ellingham line is modified when one of the components
                           of the reaction undergoes a change of physical state at a certain temperature,
                           in the wake of the entropy accompanying that change of state. We know that
                           the entropy of state change is positive in transformations from the solid state
                           to the liquid  state and from the liquid  state to the gaseous state,  meaning
                           when the degree of order decreases.

                             If a component on the left-hand side of the reaction – say, aluminum in
                           reaction [3R.12] – undergoes fusion or volatilization, the standard entropy of
                           the reaction is decreased by the entropy of state change, and therefore there
                           is a break in the slope  of the Ellingham line ( Δ s−  0  ), which sharply
                                                                            r
                           increases at the state-change temperature.

                             On the other hand, if a component on the right-hand side of the reaction
                           undergoes fusion or  volatilization, the standard entropy  of the reaction is
                           increased by the entropy of state change, and thus the slope of the Ellingham
                           line ( Δ s−  r  0  ) lessens.

                             Figure 3.8 illustrates the  consequences of those two types of state
                           changes.

                             However, a polymorphic state change to the solid state, which is generally
                           accompanied by a negligible entropy of state change, has practically no effect on
                           the slope of the line.


















                                         Figure 3.8. Consequences of state changes of a
                                              component on an Ellingham diagram
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