Which of the following rate laws is consistent with the following mechanism
A₂(g) + C(g) ⇌ AC(g) + A(g) fast equilibrium (K_c1)
AC(g) + B₂(g) $\rarr$ AB₂(g) + C(g) slow

Question

Which of the following rate laws is consistent with the following mechanism A₂(g) + C(g) ⇌ AC(g) + A(g) fast equilibrium (K_c1) AC(g) + B₂(g) $\rarr$ AB₂(g) + C(g) slow

Quizplus · Accepted Answer

The rate-determining step is the slow step, which is the second step. The rate law for the second step is given by: Rate = k[AC][B₂]. The equilibrium between A₂ and AC leads to the following relationship: [AC][A₂]/[A_c1] = K_c1. Substituting [AC] = K_c1[A₂]/[B₂] into the rate law for the second step gives: Rate = kK_c1[A₂][C][B₂]/[AC]. Therefore, the best choice is C.

Which of the Following Rate Laws Is Consistent with the Following