The rate constant for the first order decomposition of $\text{N}_2\text{O}_5$ is given by the following equation : $\log \text{k} = 23.6 - \frac{2 \times 10^4 \text{K}}{\text{T}}$. Calculate $\text{E}_a$ for this reaction. [$\text{R} = 8.314 \text{ J K}^{-1} \text{mol}^{-1}$]