Approximate Analytical Solution of Coincidences in Chemical Kinetics: Laplace Transform Method

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I. Athal, M. K. Sivasankari


In this article, Laplace transform method are adopted to study the problem of the chemical kinetics problem analytically. The basis of the mathematical model used to describe and simulate the analyzed process is a system of ordinary differential equations. As a result, is obtained a single algebraic equation in terms of the complex variable s. In order to study the dynamics of the system these equations should be reverted to the time domain by performing an inverse Laplace transform.  New properties of intersections and coincidences of transient concentration curves were discovered and are presented analytically using the classical consecutive mechanism A→ B C as an example. The analytical solutions obtained allow a full description of the response curves for only one kinetic parameter.

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