“…By application of the steady-state approximation to the intermediate Cr(IV) in the case of Mechanism I, to both Cr(1V) and Cr(I1) for Mechanism 11, and to both Cr(IV) and R. for Mechanism 111, it is easy to demonstrate that the expression obtained for parameter b in the case of Mechanism I is whereas for both Mechanisms I1 and I11 we obtain where kin,, k,,, and k,, are the rate constants for the reactions of the intermediate chromium(1V) with manganese(I1) ion (inhibitor), chromium(V1) (oxidant), and the organic substrate (reductant), respectively (12).…”