The overall rate of the reaction is the rate of formation of C (d[C]/dt). This is just the forward rate of the second reaction in the mechanism:

d[C]/dt = k2[AB*]

From the previous equations, we have shown that the concentration of [AB*] = K*[A]** where K* is the thermodynamic equilibrium constant for the first reaction in the mechanism.**

Therefore, d[C]/dt = k2 K* [A]

From equation (4) we substitute the expression for k2 to get the equation in (6).

Now, consider the overal process A+B -> C. The rate of this reaction would be written:

v = k[A]^{n}^{m}

(since A+B -> C is not an elementary reaction, we cannot know a priori the order of reaction with respect to A and B)

Since in (6), we derived that the overall rate is:

v = (k_{b}T/h) K* [A]

Comparing the two equations shows that k = (k_{b}T/h) K*, n = 1, and m = 1.