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The rate constant of a reaction at tempe...

The rate constant of a reaction at temperature 200 K is 10 times less than the rate constant at 400 K. What is the activation energy `(E_(a))` of the reaction ? (R = gas constant)

A

`1842.4" R"`

B

`921.2" R"`

C

`460.6" R"`

D

`230.3" R"`

Text Solution

Verified by Experts

The correct Answer is:
B
At `T_1=200 K,` if `k_1=k,` then
at `T_2 = 400 K, k_2=20 k `
`log""(10k)/k=E_a/(2*303R)(400-200)/(400xx200)" or "E_a=921*2R`.
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