Quantitative treatment of limits, rates and induction periods

3 Quantitative treatment of limits, rates and induction periods 

Recapitulating for convenience, the complete mechanism developed to account for the kinetic features of the H2 + O2 reaction in boric acid 

The reaction rate is effectively controlled by the rate of dissociation of H2O2, and the induction period is determined by the rate of build-up of this species. Since H2O2 is the least reactive chain centre the partial stationary state procedure of Semenov [60] may be used, in which a differential equation is set up for the H2 O2 concentration, and stationary state equations for the other species. Thus 

The solution of eqns. (44)—(48) is not stra htforward [72], After a preliminary reduction by linear algebra, the problem resolves itself into a numerical one of calculating values of d[H2 02 ] /df corresponding to given [H2O2] and mixture composition and this in turn involves solution of a cubic equation in G = kYo [HO2]. The solution shows the following parameters to be behaviour determining 

The optimization process was made more realistic by two types of independent measurement which accurately fix R2, R3, R9/R4, and to 

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