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