A process has \(\Delta\)H = 200 J mol\(^{-1}\) and \(\Delta\)S = 40 JK\(^{-1}\) mol\(^{-1}\). Out of the values given below, choose the minimum temperature above which the process will be spontaneous :
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- 4 K
- 20 K
- 5 K
- 12 K
The Correct Option is C
Solution and Explanation
\(T_{min} = \dfrac{200\ \mathrm{J\,mol^{-1}}}{40\ \mathrm{J\,K^{-1}\,mol^{-1}}} = 5\) K.
The process becomes spontaneous above 5 K, so among the given values the minimum (threshold) temperature is 5 K.
Answer: (3) 5 K
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