Calculate (Delta G^{0}) at (600^{circ} mathrm{C}) and (850^{circ} mathrm{C}) for the reaction [ mathrm{CaCO}_{3}(mathrm{~s}) ightleftharpoons mathrm{CaO}(mathrm{s})+mathrm{CO}_{2}(mathrm{~g})

Calculate \(\Delta G^{0}\) at \(600^{\circ} \mathrm{C}\) and \(850^{\circ} \mathrm{C}\) for the reaction

\[ \mathrm{CaCO}_{3}(\mathrm{~s}) \rightleftharpoons \mathrm{CaO}(\mathrm{s})+\mathrm{CO}_{2}(\mathrm{~g}) \]

Given that the decomposition pressure of carbon dioxide at \(850^{\circ} \mathrm{C}\) and \(600^{\circ} \mathrm{C}\) are \(1 \mathrm{~atm}\) and \(0.032 \mathrm{~atm}\) respectively.