The activation energies of two raction are `E_(a1)` and `E_(a2)` with `E_(a1)gtE_(a2)` . If the temperature of the reacting systems is increased from `T_(1)` to `T_(2)` predict which of the following alternatives is correct

Options

A. `(k_(1)^('))/(k_(1)=(k_(2)^('))/(k_(2)`
B. `(k_(1)^('))/(k_(1))gt(k_(2)^('))/(k_(2)`
C. `(k_(1)^('))/(k_(1)lt(k_(2)^('))/(k_(2)`
D. `(k_(1)^('))/(k_(1)lt2(k_(2)^('))/(k_(2)`

Answer

B

Explanation

We have In `(k.)/(K)=(E_(a))/(R )((1)/T_(1))-(1)/(T_(2))=E(_(a))/(R )(triangleT)/(T_(1)T_(2))`
`(k_(1)^(.)//k_(1))gt(k_(2)^(.)//k_(2))`