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76     Chemical Equilibria
                           molecules, the standard entropy will be positive, and therefore the slope of
                           the line will be negative (Figure 3.6(b)).
                                                                             0
                             If we look above the line, we have  RlnT  Q (I)  >  Δ g  By virtue of the
                                                                              .
                                                                           r
                           same reasoning as above, the reaction from left to right is favored. We then
                           say that the part above the line is the  domain of predominance  of carbon
                           dioxide. On the other hand, below the curve is the domain of predominance
                           of carbon monoxide.
                             We speak of the domain of predominance because at every point of the
                           diagram, we have a mixture of the two gases, but each of them is present in a
                           greater quantity in its domain of predominance.

                             On the other hand, for carbon, above the curve the system  contains
                           carbon, whilst below the curve the carbon will have completely disappeared,
                           so we say that above the curve is the domain of existence of carbon.

                             More generally, for the components belonging to a phase with multiple
                           components (mixtures of gases or solutions), the Ellingham curve delimits
                           domains of  predominance, whereas  for components in a pure  phase, the
                           Ellingham curve delimits domains of existence.

                           3.3.2.3. Ellingham diagram for metal–oxygen–oxide systems
                             At the heart of it, the Ellingham diagrams were constructed and used for
                           the stability of metal oxides. In order to facilitate comparisons and
                           combinations of reactions, we tend to write the balance equations of those
                           reactions involving only one oxygen molecule, as in the following examples:


                                C + O 2 = CO 2                                          [3R.10]
                                2C + O 2 = 2CO                                          [3R.11]

                                                                                        [3R.12]
                                4/3Al + O 2 = 2/3 Al 2O 3
                             In these conditions, if P is the oxygen pressure at equilibrium, the line
                                                   0
                           represents the quantity Δ g = Rlog P as a function of the temperature.
                                                       T
                                                 1
                             The slope of the line is positive or negative depending on the sign of the
                           standard entropy of the reaction, and in practice, depending on the creation
                           or consumption of gas molecules in the reaction. Thus, in reaction [3R.10],
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