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According to Arrhenius equation, the rate constant $(\mathrm{k})$ is related to temperature $(\mathrm{T})$ as

ChemistryChemical KineticsVITEEEVITEEE 2007

Options:

A $\operatorname{In} \frac{\mathrm{k}_{2}}{\mathrm{k}_{1}}=\frac{\mathrm{E}_{\mathrm{a}}}{\mathrm{R}}\left[\frac{1}{\mathrm{~T}_{1}}-\frac{1}{\mathrm{~T}_{2}}\right]$
B In $\frac{\mathrm{k}_{2}}{\mathrm{k}_{1}}=-\frac{\mathrm{E}_{\mathrm{a}}}{\mathrm{R}}\left[\frac{1}{\mathrm{~T}_{1}}-\frac{1}{\mathrm{~T}_{2}}\right]$
C In $\frac{\mathrm{k}_{2}}{\mathrm{k}_{1}}=\frac{\mathrm{E}_{\mathrm{a}}}{\mathrm{R}}\left[\frac{1}{\mathrm{~T}_{1}}+\frac{1}{\mathrm{~T}_{2}}\right]$
D $\operatorname{In} \frac{\mathrm{k}_{2}}{\mathrm{k}_{1}}=-\frac{\mathrm{E}_{\mathrm{a}}}{\mathrm{R}}\left[\frac{1}{\mathrm{~T}_{1}}+\frac{1}{\mathrm{~T}_{2}}\right]$