The reaction occurs spontaneously if :

1. $\mathrm{T} \Delta \mathrm{S} < \Delta \mathrm{H}$ and both $\Delta \mathrm{H}$ and $\Delta \mathrm{S}$ are $+\mathrm{ve}$
2. $\mathrm{T} \Delta \mathrm{S} > \Delta \mathrm{H}$ and $\Delta \mathrm{H}$ is + ve and $\Delta \mathrm{S}$ is $-\mathrm{ve}$
3. $\mathrm{T} \Delta \mathrm{S} > \Delta \mathrm{H}$ and both $\Delta \mathrm{H}$ and $\Delta \mathrm{S}$ are $+\mathrm{ve}$
4. $\mathrm{T} \Delta \mathrm{S}=\Delta \mathrm{H}$ and both $\Delta \mathrm{H}$ and $\Delta \mathrm{S}$ are + ve

Solution

$\Delta \mathrm{G}=\Delta \mathrm{H}-\mathrm{T} \Delta \mathrm{S}$ $\Delta \mathrm{G}=-v e$ for spontaneous reaction When $\Delta \mathrm{S}=+v e, \Delta \mathrm{H}=+v e$ and $\mathrm{T} \Delta \mathrm{S}$ $ > \Delta \mathrm{H}$ $\Rightarrow \Delta \mathrm{G}=-v e$ Related Theory

Asked in: NEET 2005

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