Using the Thermodynamic Data Provided Below, Calculate K_sp for Mg(OH)₂(s) $\circ$

Multiple Choice

Using the thermodynamic data provided below, calculate K_sp for Mg(OH) ₂(s) at 25 ^$\circ$ . $\begin{array}{|l|l|c|}\hline & \Delta \mathrm{H}^\circ_{\mathrm{f}}(\mathrm{~kJ} / \mathrm{mol}) & \mathrm{S}^{\circ}(\mathrm{J} / \mathrm{K} \cdot \mathrm{~mol}) \\\hline \mathrm{Mg}^{2+}(a q) & -461.96 & -117.99 \\\hline \mathrm{OH}^-(a q) & -229.94 & -10.5 \\\hline \mathrm{Mg}(\mathrm{OH}) _{2}(s) & -924.66 & 63.1 \\\hline\end{array}$

A) 8.50 * 10^-12
B) 8.70 * 10^-12
C) 8.90 * 10^-12
D) 9.10 * 10^-12
E) None of the above