Which of the following reaction mechanisms wi | vedclass

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(D) For a reaction mechanism,the rate is determined by the slow step.In option $(A)$,the slow step is $A + B_2 	o AB + B$. The rate law is $r = k[A][

Vedclass · Accepted Answer

Both $(A)$ and $(C)$

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(D) For a reaction mechanism,the rate is determined by the slow step.In option $(A)$,the slow step is $A + B_2 	o AB + B$. The rate law is $r = k[A][B_2]$.From the fast equilibrium $A_2 ightleftharpoons 2A$,we have $K_{eq} = [A]^2 / [A_2]$,so $[A] = K_{eq}^{1/2} [A_2]^{1/2}$.Substituting this into the rate law: $r = k K_{eq}^{1/2} [A_2]^{1/2} [B_2]$. The order with respect to $A_2$ is $1/2$,which is fractional.In option $(C)$,the slow step is $A_2 + B 	o AB + A$. The rate law is $r = k[A_2][B]$.From the fast equilibrium $B_2 ightleftharpoons 2B$,we have $K_{eq} = [B]^2 / [B_2]$,so $[B] = K_{eq}^{1/2} [B_2]^{1/2}$.Substituting this into the rate law: $r = k K_{eq}^{1/2} [A_2] [B_2]^{1/2}$. The order with respect to $B_2$ is $1/2$,which is fractional.Thus,both $(A)$ and $(C)$ result in fractional orders.

Which of the following reaction mechanisms will have a fractional order with respect to $A_2$ or $B_2$?

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