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At $300 \mathrm{~K}, \mathrm{PCl}_{5(g)} \rightleftharpoons \mathrm{PCl}_{3(g)}+\mathrm{Cl}_{2(g)}$ and $K_p=1.8 \times 10^{-7}$. Then calculate its $\Delta G^0$.
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$38.72 \mathrm{~kJ} \mathrm{~mol}^{-1}$
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