A) \[400K\]
B) \[500K\]
C) \[273K\]
D) \[373K\]
Correct Answer: B
Solution :
\[X(g)+3Y(g)2Z(g)\] \[\Delta {{S}^{o}}=2{{S}^{o}}(Z)-\{{{S}^{o}}(X)+3{{S}^{o}}(Y)\}\] \[=2\times 50-\{60+3\times 40\}\] \[=100-180=-80J\,{{K}^{-1}}\,mo{{l}^{-1}}\] Given \[\Delta {{H}^{o}}=-40kJ=-40,000J\] \[\Delta {{G}^{o}}=\Delta {{H}^{o}}-T\Delta {{S}^{o}}\] At equilibrium, \[\Delta {{G}^{o}}=0\] \[\therefore \] \[\Delta {{H}^{o}}=T\Delta {{S}^{o}}\] or \[T=\frac{\Delta {{H}^{o}}}{\Delta {{S}^{o}}}=\frac{40,000}{80}=500K\]
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