Kinetics of Fe(III)-catalyzed decomposition of hydrogen peroxide
When Fe3+ is added into the solution containing H2O2, the decomposition of H2O2 is accelerated by the catalytic reactions as follows. Also, the decomposition rate of H2O2 follows the pseudo-first order kinetics (i.e., d[H2O2]/dt = -kH2O2[H2O2]). Derive the pseudo-first order rate constant for the decomposition of H2O2 (kH2O2) using the second-order rate constants of the elementary reactions below (k1 ~ k5) and the concentration of Fe3+ ([Fe3+])
Fe3+ + H2O2 -> Fe2+ + HO2• + H+ k1
Fe2+ + H2O2 -> Fe3+ + •OH + OH- k2
HO2• + Fe3+ -> Fe2+ + O2 + H+ k3
HO2• + Fe2+ -> Fe3+ + HO2- (↔ H2O2) k4
H2O2 + •OH -> HO2• + H2O k5
(Use steady-state approximations for the intermediates)