A reactant (A) forms two products (Assume that `A_(1) = A_(2)` , which are pre-exponential factor)
`A overset(k_(1)) to B`, Activation energy `E_(a1)`
`A overset(k_(2)) to C`, Activation energy `E_(a2)`
If `E_(a2) = 2E_(a1)`, then `k_(1)` and `k_(2)` are related as:

Options

A. `k_(2)=k_(1)e^(-E_(a1)//RT)`
B. `k_(2)=k_(1)e^(-E_(a2)//RT)`
C. `k_(1)=Ak_(2)e^(-E_(a1)//RT)`
D. `k_(1)=2k_(2)e^(-E_(a2)//RT)`

Answer

A

Explanation

`k_(2)=Ae^(-Ea//Rt),k_(1)=Ae^(-Ea//RT), therefore (k_(2))/(k_(1))=e^(E_(a_(2))+E_(a_(1)))//RT`