The following mechanism has been proposed for the gas-phase reaction of chlorofo

Question

The following mechanism has been proposed for the gas-phase reaction of chloroform (CHCl3) and chlorine:
1) Cl2 2 Cl (fast, reversible)
2) Cl + CHCl3 HCl + CCl3 (slow)
3) Cl + CCl3 CCl4 (fast)
What rate law does this mechanism predict? Choose from the list below and enter the letters for all the terms needed in the rate law. (So for a rate law of k[Cl2] enter AC, and for a rate law of k[Cl2][CHCl3] enter ACE.)

A. k G. [Cl]1/2 M. [Cl2]2 B. [HCl] H. [CHCl3]1/2 N. [Cl]2 C. [Cl2] I. [CCl3]1/2 O. [CHCl3]2 D. [Cl] J. [HCl]1/2 P. [CCl3]2 E. [CHCl3] K. [Cl2]1/2 F. [CCl3] L. [HCl]2

Explanation / Answer

From the given data -

For the first step: Keq = [Cl]2 / [Cl2]                ..... (1)

Rate determing step is second step: rate law = k [Cl][CHCl3]    ..... (2)

From equation:1    [Cl] = [ Keq*[Cl2] ]1/2

If we substitute this in equation:2)

                              rate law = k [ Keq*[Cl2] ]1/2 [CHCl3]

                                           = k (Keq)1/2 [Cl2]1/2 [CHCl3]

If we write whole k' = k (Keq)1/2

Rate law = k' [Cl2]1/2 [CHCl3]

Thus answer is AKE

       

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