In the Mond process for the purification of nickel, CO is passed over metallic
nickel to give \(\mathrm{Ni}(\mathrm{CO})_{4}\) :
$$\mathrm{Ni}(s)+4 \mathrm{CO}(g) \Longrightarrow
\mathrm{Ni}(\mathrm{CO})_{4}(g)$$Given that the standard free energies of
formation of \(\mathrm{CO}(g)\) and \(\mathrm{Ni}(\mathrm{CO})_{4}(g)\) are
\(-137.3 \mathrm{~kJ} / \mathrm{mol}\) and
\(-587.4 \mathrm{~kJ} / \mathrm{mol},\) respectively, calculate the equilibrium
constant of the reaction at \(80^{\circ} \mathrm{C}\). (Assume \(\Delta
G_{\mathrm{f}}^{\circ}\) to be independent of temperature.