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Approximation techniques in complex reaction kinetics
Author(s) -
Summers Danny,
Scott John M. W.,
Ralph Scott K.
Publication year - 1987
Publication title -
international journal of chemical kinetics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.341
H-Index - 68
eISSN - 1097-4601
pISSN - 0538-8066
DOI - 10.1002/kin.550190607
Subject(s) - chemistry , interpretation (philosophy) , mathematics , kinetic energy , differential equation , kinetics , numerical approximation , thermodynamics , chemical kinetics , statistical physics , mathematical analysis , numerical analysis , classical mechanics , physics , computer science , programming language
We examine the kinetic model D . The differential equations describing this reaction scheme are cast in a nondimensional form and analyzed in four basic approximation regimes: a ‘pseudo‐first order’ approximation valid for small values of the ratio of the initial concentrations of the reactants; an asymptotic solution valid for large values of k 3 ; the standard steady state (Bodenstein) approximation; and an approximation to a second order system without intermediate. Interconnecting relationships between the various approximations derived are examined, and the approximations are compared to numerical solutions to the full equations. The results are assessed from the standpoint of the experimental kineticist, and it is suggested that the reaction studied, and consequently many other more complex reactions, may under certain circumstances be subject to non‐unique interpretation.