The rate of a reaction doubles when its temperature

Question:

The rate of a reaction doubles when its temperature changes from $300 \mathrm{~K}$ to $310 \mathrm{~K}$. Activation energy of such a reaction will be

$\left(\mathrm{R}=8.314 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}\right.$ and $\left.\log 2=0.301\right)$

  1. $53.6 \mathrm{~kJ} \mathrm{~mol}^{-1}$

  2. $48.6 \mathrm{~kJ} \mathrm{~mol}^{-1}$

  3. $58.5 \mathrm{~kJ} \mathrm{~mol}^{-1}$

  4. $60.5 \mathrm{~kJ} \mathrm{~mol}^{-1}$


Correct Option: 1

Solution:

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