Kinetics of irreversible consecutive processes with first order second steps: analytical solutions

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13 Citations (Scopus)

Abstract

Analytical solutions are derived for a family of two-stage reactions, in which the later process is first order with respect to the product of the previous, non-first order step. A general strategy is shown that is suitable to handle typical cases. The strategy is demonstrated by considering, zeroth order, second order, mixed second order and third order initial reactions, analytical solutions for all of which can be obtained and advantageously used. The solutions can also be used as archetypes of intermediate formation and decay in chemical kinetics.

Original languageEnglish
Pages (from-to)1172-1183
Number of pages12
JournalJournal of Mathematical Chemistry
Volume53
Issue number4
DOIs
Publication statusPublished - Jan 1 2015

Keywords

  • Dynamical system
  • Intermediate
  • Mathematical modelling
  • Reaction kinetics
  • Two-stage process

ASJC Scopus subject areas

  • Chemistry(all)
  • Applied Mathematics

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