Statement I: The Ellingham diagram can indeed be constructed for the formation of oxides, sulfides, and halides of metals. This statement is correct.
Statement II: The Ellingham diagram does not consist of plots of \( \Delta H^\circ \) vs \( T \). Instead, it represents plots of \( \Delta G^\circ \) (Gibbs free energy change) vs \( T \) (temperature) for the formation of oxides of elements. This statement is incorrect.
The Ellingham diagram is primarily used to determine the feasibility of reduction reactions of metal oxides and to compare the relative stability of oxides at different temperatures. Thus, the correct answer is \( \boxed{(3)} \).
Calculate the potential for half-cell containing 0.01 M K\(_2\)Cr\(_2\)O\(_7\)(aq), 0.01 M Cr\(^{3+}\)(aq), and 1.0 x 10\(^{-4}\) M H\(^+\)(aq).