A) 100 K
B) \[20{{\,}^{o}}C\]
C) 20 K
D) \[120{{\,}^{o}}C\]
Correct Answer: C
Solution :
Given, \[\Delta \Eta =-400\,\text{kJ}\,\text{mo}{{\text{l}}^{-1}}\] \[\Delta S=-20\,\text{kJ}\,\text{mo}{{\text{l}}^{-1}}\,{{K}^{-1}}\] Gibbs Helmholtz equation is \[\Delta G=\Delta H-T\Delta S\] For a reaction to be spontaneous, \[\Delta G\]must be less than 0, i.e., negative. \[\therefore \] \[0\ge \Delta H-T\Delta S\] \[T\Delta S\le \Delta H\] \[T\le \frac{\Delta \Eta }{\Delta S}\le \frac{-400}{-20}\le 20\,K\]You need to login to perform this action.
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