Sulfur Can Be Separated from Lead in the Mineral Galena $\rarr$

Multiple Choice

Sulfur can be separated from lead in the mineral galena, PbS(s) , by "roasting" the ore in the presence of oxygen as shown in the following reaction: 2PbS(s) + 3O₂(g) $\rarr$ 2PbO(s) + 2SO₂(g)
Calculate $\Delta$ S ^$\circ$ for this reaction using the thermodynamic data provided below. $\begin{array}{|l|c|}\hline & \mathrm{S}^{\circ}(\mathrm{J} / \mathrm{K} \cdot \mathrm{~mol}) \\\hline \mathrm{PbS}(s) & 91.2 \\\hline \mathrm{O}_{2}(g) & 205.0 \\\hline \mathrm{PbO}(s) & 69.45 \\\hline \mathrm{SO}_{2}(g) & 248.5 \\\hline\end{array}$

A) -410 J/K·mol
B) -161.5 J/K·mol
C) -47.7 J/K·mol
D) 21.8 J/K·mol
E) 43.5 J/K·mol