A reactant (A) forms two products: A k 1 B a c t i v a t i o n e n er g y E a 1 A k 2 C a c t i v a t i o n e n er g y E a 2 If \displaylines E a 2 = 2 E a 1 , then k 1 and k 2 w

Question

A reactant (A) forms two products: A k 1 ​ ​ B a c t i v a t i o n e n er g y E a 1 ​ A k 2 ​ ​ C a c t i v a t i o n e n er g y E a 2 ​ If \displaylines E a 2 ​ ​ = 2 E a 1 ​ , then k 1 ​ and k 2 ​ will be related as (assuming the frequency factor is the same in the two reactions):

TestHub · Accepted Answer

k 2 ​ == A e − RT E a 2 ​ ​ k 1 ​ == A e − RT E a 1 ​ ​ k 1 ​ k 2 ​ ​ = e RT ( − E a 2 ​ ​ + E a 1 ​ ​ ) ​ ∴ k 1 ​ k 2 ​ ​ = e RT − E a 1 ​ ​ ​ Since E a 2 ​ ​ = 2 E a 1 ​ ​ k 1 ​ = k 2 ​ e RT E a 1 ​ ​ ​

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