If \( \Delta \mathrm{G}=-177 \mathrm{~K} \) cal for (1) \( 2 \mathrm{Fe}(\mathrm{s})+\frac{3}{2}...

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If \( \Delta \mathrm{G}=-177 \mathrm{~K} \) cal for (1) \( 2 \mathrm{Fe}(\mathrm{s})+\frac{3}{2} \mathrm{O}_{2}(\mathrm{~g}) \longrightarrow \mathrm{Fe}_{2} \mathrm{O}_{3}(\mathrm{~s}) \) and \( \Delta \mathrm{G}=-19 \mathrm{~K} \) cal for (2) \( 4 \mathrm{Fe}_{2} \mathrm{O}_{3}(\mathrm{~s})+\mathrm{Fe}(\mathrm{s}) \longrightarrow 3 \mathrm{Fe}_{3} \mathrm{O}_{4}(\mathrm{~s}) \).
\( P \) What is the Gibbs free energy of formation of \( \mathrm{Fe}_{3} \mathrm{O}_{4} \) ?

W
\( -(\mathrm{A})+229.6 \frac{\mathrm{kcal}}{\mathrm{mol}} \)
(B) \( -242.3 \frac{\mathrm{kcal}}{\mathrm{mol}} \)
(C) \( -727 \frac{\mathrm{kcal}}{\mathrm{mol}} \)
(D) \( -229.6 \frac{\mathrm{kcal}}{\mathrm{mol}} \)
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