On icreasing temperature from `200 K` to `220 K` rate of reaction A increases by `3` times and rate of reaction B increases by `9` times then correct relationship between activation energy of A and B is

Options

A. `E_(A) = 3 E_(B)`
B. `3 E_(A) = E_(B)`
C. `E_(B) = 2E_(A)`
D. `E_(A) = 2E_(B)`

Answer

C

Explanation

For a reaction `A rarr P`
`In (k_(2))/(k_(1)) = (E_(A))/(R ) [1/200 - 1/220] = In 3`
`In (k_(2))/(k_(1)) = (E_(B))/(R ) [1/200 -1/220] = In 9`
`(In3)/(In3^(2)) = (E_(A))/(E_(B)) rArr 2E_(A) = E_(B)`