Using the Thermodynamic Data Provided Below, Determine the Temperature in

Using the thermodynamic data provided below, determine the temperature in ^$\circ$ C at which the decomposition of solid calcium carbonate to form solid calcium oxide and oxygen becomes spontaneous. $\begin{array}{|l|c|c|}\hline & \Delta \mathrm{H}_{\mathrm{f}}^{\circ}(\mathrm{kJ} / \mathrm{mol}) & \mathrm{S}^{\circ}(\mathrm{J} / \mathrm{K} \cdot \mathrm{~mol}) \\\hline \mathrm{CO}_{2}(\mathrm{g}) & -393.5 & 213.6 \\\hline \mathrm{CaO}(\mathrm{s}) & -635.6 & 39.8 \\\hline \mathrm{CaCO}_{3}(\mathrm{s}) & -1206.9 & 92.9 \\\hline\end{array}$

A) 834.6 ^$\circ$ C
B) 814.6 ^$\circ$ C
C) 794.6 ^$\circ$ C
D) 774.6 ^$\circ$ C
E) None of the above