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For following reactions A overset( 400...

For following reactions
`A overset( 400K)( rarr) ` Product
`A underset("catalyst")overset("200K")(rarr)` Product
it was found that the `E_(a)` is decreased by 20 kJ` //` mol in the presence of catalyst. If the rate remains unchanged, the activation energy for catalysed reaction is ( Assume per exponential factor is same ) `:`

A

40 kJ` //` mol

B

`20kJ` /mol

C

`80 kJ //mol`

D

`35 kJ //mol`

Text Solution

AI Generated Solution

To solve the problem, we need to analyze the activation energy (Ea) for both the uncatalyzed and catalyzed reactions, and how they relate to the rate of the reaction. ### Step-by-Step Solution: 1. **Define the Variables:** - Let \( E_{a1} \) be the activation energy for the uncatalyzed reaction at 400 K. - Let \( E_{a2} \) be the activation energy for the catalyzed reaction at 200 K. - It is given that \( E_{a1} - E_{a2} = 20 \, \text{kJ/mol} \). ...
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