Which of the following rate laws is consistent with the following mechanism? A(g)+ B(g) AB(g)fast equilibrium (K_c1) AB(g)+ C(g)$\rarr$ AC(g)+ B(g)slow

Question

Quizplus · Accepted Answer

For the given mechanism, the rate-determining step is the slow step: AB(g) + C(g) → AC(g) + B(g). The equilibrium step doesn't affect the rate since it is fast. The rate law for the slow step is rate = k[AB][C], which can be written in terms of the equilibrium constant (Kc) as Kc = [AC][B]/[AB][C] or K_c1 = [AB][C]/[AC][B]. Therefore, the only rate law consistent with the given mechanism is B: Rate = kK_c1[A][B][C].

Which of the Following Rate Laws Is Consistent with the Following