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Statement I: Both $\left[\mathrm{Co}\left(\mathrm{NH}_3\right) 6\right]^{3+}$ and $\left[\mathrm{CoF}_6\right]^3$ complexes are octahedral but differ in their magnetic behaviour.
Statement II: $\left[\mathrm{Co}\left(\mathrm{NH}_3\right)\right]^{3+}$ is diamagnetic whereas $\left[\mathrm{CoF} \mathrm{F}_6\right]^{3-}$ is paramagnetic.
In the light of the above statements, choose the correct answer from the options given below:
$I$. $\log \,\,K\, = \,\frac{{nF{E^o}}}{{2.303\,RT}}$
$II$. $K\, = \,{e^{\frac{{nF{E^o}}}{{RT}}}}$
$III$. $\log \,\,K\, = -\,\frac{{nF{E^o}}}{{2.303\,RT}}$
$IV$. $\log \,\,K\, = 0.4342\,\,\frac{{-nF{E^o}}}{{RT}}$
Choose the correct statement $(s)$.
$A\,and\,C\,\xrightarrow{{{\text{Diazotization}}}}\,P + Q\,\xrightarrow[{(ii)\,oxidation\,\left( {KMn{O_4} + {H^ + }} \right)}]{{{\text{(i) Hydrolysis}}}}$$\begin{array}{*{20}{c}} {R\left( {product\,of\,A} \right)} \\ { + \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ {s\,\left( {prosuct\,of\,C} \right)} \end{array}$