The correct option(s) about entropy (S) is(are)
[ $\mathrm{R}=$ gas constant, $\mathrm{F}=$ Faraday constan, $\mathrm{T}=$ Temperature ]
Select ALL correct options:
A
For the reaction, $\mathrm{M}(\mathrm{s})+2 \mathrm{H}^{+}(\mathrm{aq}) \rightarrow \mathrm{H}_2(\mathrm{~g})+\mathrm{M}^{2+}(\mathrm{aq})$, if $\frac{\mathrm{d} \mathrm{E}_{\text {cell }}}{\mathrm{dT}}=\frac{\mathrm{R}}{\mathrm{F}}$, then the entropy change of the reaction is R (assume that entropy and internal energy changes are temperature independent).
B
The cell reaction, $\mathrm{Pt}(\mathrm{s})\left|\mathrm{H}_2(\mathrm{~g}, 1 \mathrm{bar})\right| \mathrm{H}^{+}(\mathrm{aq}, 0.01 \mathrm{M})| | \mathrm{H}^{+}(\mathrm{aq}, 0.1 \mathrm{M})\left|\mathrm{H}_2(\mathrm{~g}, 1 \mathrm{bar})\right| \mathrm{Pt}(\mathrm{s})$, is an entropy driven process.
C
For racemization of an optically active compound, $\Delta \mathrm{S}>0$.
D
$\Delta \mathrm{S}>0$, for $\left[\mathrm{Ni}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]^{2+}+3 \mathrm{en} \rightarrow\left[\mathrm{Ni}(\mathrm{en})_3\right]^{2+}+6 \mathrm{H}_2 \mathrm{O}$ (where en = ethylenendiamine).
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