For the following reactions


For the following reactions

$\mathrm{A} \stackrel{700 \mathrm{~K}}{\longrightarrow}$ Product

$\mathrm{A} \underset{\text { catalyst }}{\stackrel{500 \mathrm{~K}}{\longrightarrow}}$ Product

it was found that $E_{a}$ is decreased 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. $135 \mathrm{~kJ} / \mathrm{mol}$

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

  3. $198 \mathrm{~kJ} / \mathrm{mol}$

  4. $75 \mathrm{~kJ} / \mathrm{mol}$

Correct Option: , 4



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