ABC26PH0614 · Thermodynamics

Subject: Physical Chemistry · Chapter: Thermodynamics · Topic: Free Energy Equilibria · Exam: GATE 2005-2021 · Marks: 2 · Difficulty: Medium

Consider the following equilibrium
\[ \mathrm{SO}_{2}(\mathrm{g})+\frac{1}{2} \mathrm{O}_{2} \rightleftharpoons \mathrm{SO}_{3}(\mathrm{g}) \]
At 298 K , the standard molar Gibbs energies of formation, $\Delta_{\mathrm{f}} \mathrm{G}^{\mathrm{o}}$, of $\mathrm{SO}_{2}(\mathrm{g})$ and $\mathrm{SO}_{3}(\mathrm{g})$ are -300 and -371 kJ $\mathrm{mol}^{-1}$ espectively. The value of the equilibrium constant, $\mathrm{K}_{\mathrm{P}}$ at this temperature is ____ $\times 10^{10}$(Round off to the nearest integer) (Gas constant $\mathrm{R}=8.31 \mathrm{J} \mathrm{mol}^{-1} \mathrm{K}^{-1}$ )
Answer
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