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Question

Chemistry Question on Polymers

A certain reaction proceeds in a sequence of three elementary steps with rate constants k1, k2 and k3. If the observed rate constant, Kobs, of the reaction is expressed as Kobs = K3 [K1/K2]1/2, then what is the observed energy of activation of the reaction?

A

(A) E3+12(E1E2)

B

(B) E3+(E1−E22)

C

(C) E3(E1E2)1/2

D

(D) E3+E1+E22

Answer

(B) E3+(E1−E22)

Explanation

Solution

Explanation:
Kobs=K3[K1K2]1/2=A3⋅e−E3/RT×[A1e−E1/RTA2e−E3/RT]1/2Kobs=A3A1A2×e−[E2RT+12(E1−E2FT)]⇒Kobs=A⋅e−Eobs/Fr∴Eobs=E3+(E1−E22)