(Solved): 5) Sulfuric acid is one of the most synthesized chemicals by weight. An impor ...

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5) Sulfuric acid is one of the most synthesized chemicals by weight. An important step for the synthesis of \( \mathrm{H}_{2} \mathrm{SO}_{4} \) is the oxidation of sulfur dioxide: \[ 2 \mathrm{SO}_{2}(\mathrm{~g})+\mathrm{O}_{2}(\mathrm{~g}) \rightarrow 2 \mathrm{SO}_{3}(\mathrm{~g}) \quad \Delta G^{\mathrm{o}}=-137.4 \mathrm{~kJ} / \mathrm{mol} \] Given the following partial pressures and temperature \( =298 \mathrm{~K} \), please calculate \( \Delta G \) (a) \( 1.0 \) bar \( \mathrm{SO}_{2}, 1.0 \) bar \( \mathrm{O}_{2}, 1.0 \) bar \( \mathrm{SO}_{3} \) (b) \( 70.0 \) bar \( \mathrm{SO}_{2}, 100.0 \) bar \( \mathrm{O}_{2}, 2.0 \) bar \( \mathrm{SO}_{3} \) (c) \( 2.0 \) bar \( \mathrm{SO}_{2}, 1.0 \) bar \( \mathrm{O}_{2}, 20.0 \) bar \( \mathrm{SO}_{3} \)