The Ellingham diagram is a graphical representation of the Gibbs free energy change (\(\Delta G\)) for various oxidation reactions as a function of temperature.
It is used in metallurgy to determine the feasibility of reduction of metal oxides. The lower the position of a metal's line in the Ellingham diagram, the more stable its oxide is.
By comparing the \(\Delta G\) values of different metal-oxygen reactions, one can predict which metal oxide is more stable and which metals can be used as reducing agents to extract other metals.
Therefore, the Ellingham diagram is the appropriate tool to predict the stability of oxides at different temperatures.