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Q. If $ \Delta H>0 $ and $ \Delta S>0 $ , in which of the following cases, can a reaction be spontaneous?

Punjab PMETPunjab PMET 2003

Solution:

From Gibbs Helmholtz equation,
$\Delta G=\Delta H-T . \Delta S$
For the reaction to be spontaneous, $\Delta G$ must be negative, hence as $\Delta H$ and $T . \Delta S$, both are positive, then $T \Delta S$ should be greater than $\Delta H$. i.e.,
$\Delta H < T . \Delta S$