A) \[\Delta H=\Delta G=T\cdot \Delta S\]
B) \[\Delta S=\frac{1}{T}[\Delta G-\Delta H]\]
C) \[\Delta S=\frac{1}{T}[\Delta H-\Delta G]\]
D) \[-\Delta G=\Delta H-T\cdot \Delta S\]
Correct Answer: C
Solution :
Key Idea: Gibbs' Helmholtz equation is \[\Delta G=\Delta H-T\Delta S\] Compare the choices with it to find correct answer \[\Delta S=\frac{1}{T}(\Delta H-\Delta G)\] or \[T\Delta S=\Delta H-\Delta G\] or \[\Delta G=\Delta H-T\Delta G\] \[\therefore \]It is correct answer.
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