Which of the following orders is not correct?

The correct option(s) about entropy $(S)$ is(are)
$[R =$ gas constant, $F =$ Faraday constant, $T =$ Temperature $]$
$(A)$ For the reaction, $M_{(s)} + 2H^{+}_{(aq)} \rightarrow H_{2(g)} + M^{2+}_{(aq)}$, if $\frac{dE_{cell}}{dT} = \frac{R}{F}$, then the entropy change of the reaction is $R$ (assume that entropy and internal energy changes in entropy and internal energy are temperature independent).
$(B)$ The cell reaction, $Pt_{(s)} \mid H_2(g, 1 \ bar) \mid H^{+}(aq, 0.01 \ M) \parallel H^{+}(aq, 0.1 \ M) \mid H_2(g, 1 \ bar) \mid Pt_{(s)}$, is an entropy driven process.
$(C)$ For racemization of an optically active compound, $\Delta S > 0$.
$(D)$ $\Delta S > 0$, for $[Ni(H_2O)_6]^{2+} + 3en \rightarrow [Ni(en)_3]^{2+} + 6H_2O$ (where $en =$ ethylenediamine).

$0.001 \ mol$ of $Co(NH_3)_5(NO_3)(SO_4)$ was passed through a cation exchanger. The acid coming out of it required $20 \ mL$ of $0.1 \ M$ $NaOH$ for neutralization. Hence,the complex is:

Given below are two statements:
Statement-$I$: Hybridisation, shape, and spin-only magnetic moment of $K_{3}[Co(CO_{3})_{3}]$ are $sp^{3}d^{2}$, octahedral, and $4.9 \ BM$ respectively.
Statement-$II$: Geometry, hybridisation, and spin-only magnetic moment values $(BM)$ of the ions $[Ni(CN)_{4}]^{2-}$, $[MnBr_{4}]^{2-}$, and $[CoF_{6}]^{3-}$ respectively are square planar, tetrahedral, octahedral; $dsp^{2}$, $sp^{3}$, $sp^{3}d^{2}$ and $0, 5.9, 4.9$.

$0.02 \, \text{mole}$ of $[Co(NH_3)_5Br]Cl_2$ and $0.02 \, \text{mole}$ of $[Co(NH_3)_5Cl]SO_4$ are present in $200 \, \text{cc}$ of a solution $X$. The number of moles of the precipitates $Y$ and $Z$ that are formed when the solution $X$ is treated with excess silver nitrate and excess barium chloride are respectively:

Choose the correct statement$(s)$ among the following:
$(A)$ $[FeCl_4]^-$ has tetrahedral geometry.
$(B)$ $[Co(en)(NH_3)_2Cl_2]^+$ has $2$ geometrical isomers.
$(C)$ $[FeCl_4]^-$ has higher spin-only magnetic moment than $[Co(en)(NH_3)_2Cl_2]^+$.
$(D)$ The cobalt ion in $[Co(en)(NH_3)_2Cl_2]^+$ has $sp^3d^2$ hybridization.