For following reactions \( \mathrm{P} \) A \( \stackrel{700 \mathrm{~K}}{\longrightarrow} \) pro...

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For following reactions
\( \mathrm{P} \)
A \( \stackrel{700 \mathrm{~K}}{\longrightarrow} \) product
WV
A \( \underset{\text { catlyst }}{\stackrel{500 \mathrm{~K}}{\longrightarrow}} \) product
it was found that the \( E_{a} \) is decteased by \( 30 \mathrm{~kJ} / \mathrm{mol} \) in the presence of catalyst. If the rate remains unchanged, the activation energy for catalysed reaction is (Assumer pre exponential factor is same) :
[JEE Main-2020 (January)]
(1) \( 105 \mathrm{~kJ} / \mathrm{mol} \)
(2) \( 195 \mathrm{~kJ} / \mathrm{mol} \)
(3) \( 135 \mathrm{~kJ} / \mathrm{mol} \)
(4) \( 75 \mathrm{~kJ} / \mathrm{mol} \)
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