For following reactions:


For following reactions:

it was found that the $E_{a}$ is decrease by $30 \mathrm{~kJ} / \mathrm{mol}$ in the presence of catalyst. If the rate remains unchanged, the activation energy for catalysed reaction is (Assume pre exponential factor is same):

  1. $75 \mathrm{~kJ} / \mathrm{mol}$

  2. $105 \mathrm{~kJ} / \mathrm{mol}$

  3. $135 \mathrm{~kJ} / \mathrm{mol}$

  4. $198 \mathrm{~kJ} / \mathrm{mol}$

Correct Option: 1


Given: $k_{1}=k_{2}$




$\Rightarrow \mathrm{E}_{a 1}=\mathrm{E}_{a_{2}}+30$



$\Rightarrow 150=2 \mathrm{E}_{a_{2}}$

$\mathrm{E}_{a_{2}}=75 \mathrm{~kJ} / \mathrm{mol}$


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