AIIMS 2019 Chemistry Arrhenius Equation MCQ Question

Option B, $\ln k_2 = \ln A - \frac{E_a}{RT_2}$, correctly represents the Arrhenius equation at temperature $T_2$, where $E_a$ is the activation energy, and $R$ is the universal gas constant. This equation shows how the rate constant $k_2$ is related to the pre-exponential factor $A$ and the temperature $T_2$.

Option A is incorrect because it specifies $T_1$ instead of $T_2$. Option C is a rearrangement of the Arrhenius equation that is valid but does not directly express $\ln k_2$ as required. Option D introduces an unnecessary logarithmic transformation and does not accurately represent the relationship between the rate constants and temperatures in the context of the Arrhenius equation.