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A catalyst lower the activation energy o...

A catalyst lower the activation energy of a reaction from `200KJ "mol"^(-1)` to `100 KJ "mol"^(-1)`. The temperature at which the rate of uncatalysed reaction will be same as the rate of catalysed reaction at `25^(@)C` is (assuming Arrheneous consant `A` to be same in both the case)

A

`50^(@)C`

B

`225^(@)C`

C

`323^(@)C`

D

`596^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
C
`(E_(a_(1)))/(T_(1))=(E_(a_(2)))/(T_(2))`
`200/(T_(1))=100/298`
`T_(1)=596K=323^(@)C`
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