A) 400 K
B) 300 K
C) 500K
D) none of these
Correct Answer: C
Solution :
Key Idea: The reaction is spontaneous when value of \[\Delta G\] is negative. Given \[\Delta S=10\,\,cal\,\,mo{{l}^{-1}}{{K}^{-1}}\] \[\Delta H=4\,\,kcal\,\,mo{{l}^{-1}}400\,\,cal\,\,mo{{l}^{-1}}\] Let \[\Delta G=0\] \[\Delta G=\Delta H-T\Delta S\] \[0=4000-T\times 10\] or \[T=\frac{4000}{10}=400\,\,K\] \[\therefore \] Reaction is spontaneous at temperature above 400 K The only choice having temperature above = 400 K is [c] 500 K \[\therefore \] [c] is correct answer
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