Abstract
Abstract The kinetics of an autocatalytic termolecular reaction with overall stoichiometry of A + B → C + D was investigated. It is assumed that each of the three components A, B and C dissociate into reactive intermediate species, with equilibrium always established in all three cases. The rate-limiting step is then assumed to be the reaction between the intermediates formed from A and B, respectively, catalyzed by the reactive intermediate formed from product C. Integration of the differential equation describing the chemical kinetics of this process was performed for various special cases of initial reactant concentrations—stoichiometric and non-stoichiometric. The analytical solution in the latter case incorporates incomplete elliptic integrals of the first kind. Numerical values of reaction times may then be readily computed with the aid of various extensive compilations of elliptic integrals.
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