Integration of the rate constant and linearization of the kinetic equations in non-isothermal reaction kinetics

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Abstract

The theory of reaction rates gives approximations of the type A Tb e-E/RT for rate constants. In thermal analysis the case where b = 0 is used in kinetic calculations. However, if b is regarded as a variable, treatment of the non-isothermal kinetic equations is not more complicated than in the special case of b = 0. In this paper Padé approximations, described in the literature of the special functions, and Legendre's continued fractions are proposed for evaluation of the A∫Tb e-E/RT dT integrals. The Coats-Redfern types methods for the determination of the kinetic parameters are discussed analysing the errors of approximation involved in their deduction. On this basis a modified parameter estimation scheme is proposed.

Original languageEnglish
Pages (from-to)201-207
Number of pages7
JournalThermochimica Acta
Volume25
Issue number2
DOIs
Publication statusPublished - Aug 1978

ASJC Scopus subject areas

  • Instrumentation
  • Condensed Matter Physics
  • Physical and Theoretical Chemistry

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