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At 400K , the energy of activation of a ...

At `400K` , the energy of activation of a reaction is decreased by `0.8Kcal` in the presence of catalyst. Hence, the rate will be

A

Increased by `2.73` times

B

Increased by `1.18` times

C

Decreased by `2.72` times

D

Increased by `6.26` times

Text Solution

Verified by Experts

The correct Answer is:
A

We know
`(K_(2))/(K_(1))=` Antilog `[(DeltaE)/(2.303RT)]`
Given `DeltaE=0.8Kcal=3.344xx10^(3)J`
`R=8.314JK^(-1)mol^(-1)`
`T=400K`
Substituting all the values in Eq. (i), we get
`(K_(2))/(K_(1))=` Antilog `[(3.344xx10^(3))/(8.314xx2.303xx400)]=2.73`
`:. K_(2)=2.73K_(1)`
Therefore, the rate will increase by `2.73` times.
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