An Ellingham diagram is a graphical representation that shows the temperature dependence of the standard Gibbs free energy of formation of various metal oxides. It is widely used to predict the feasibility of reduction reactions, particularly for metal extraction. The diagram plots the Gibbs free energy of the reaction (\( \Delta G \)) against temperature for the formation of metal oxides, and the lower the \( \Delta G \), the more favorable the reduction reaction.
By examining the intersection of the lines for a metal oxide and the line for hydrogen, for example, it is possible to predict the temperature at which a metal oxide can be reduced by hydrogen. This makes the Ellingham diagram an essential tool in understanding the reduction feasibility of metal oxides.
Thus, the correct answer is: Predict reduction feasibility of metal oxides.