Appeared in: 2023 (3 sets)
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. [$\text{R} = 8.314 \text{ J K}^{-1} \text{mol}^{-1}$]
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Step 1 (Formula / Governing Law & Given Data): [0.5 Mark]
According to the Arrhenius equation in its logarithmic form (base 10):
$$\log k = \log A - \frac{E_a}{2.30