A) \[K=\frac{T\Delta {{S}^{o}}-\Delta {{H}^{o}}}{RT}\]
B) \[K=\frac{\Delta {{H}^{o}}-T\Delta {{S}^{o}}}{RT}\]
C) In\[K=\frac{T\Delta {{S}^{o}}-\Delta {{H}^{o}}}{RT}\]
D) In\[K=\frac{\Delta {{H}^{o}}-T\Delta {{S}^{o}}}{RT}\]
Correct Answer: C
Solution :
Sol. \[\Delta G{}^\circ =-RT\]In K and \[\Delta G{}^\circ =\Delta {{H}^{o}}-T\Delta {{S}^{o}}\] Hence, \[-RT\]In \[K=\Delta {{H}^{o}}-T.\Delta {{S}^{o}}\] \[RT\,In\,K=T\Delta {{S}^{o}}-\Delta {{H}^{o}}\] \[In\,K=\frac{T\Delta {{S}^{o}}-\Delta {{H}^{o}}}{RT}\]
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