Research Article
Evaluation of Some Approximations of the Temperature Integral Used in Kinetic Analysis of Solid-state Reactions
Kim Hyon Chol*
,
Ri Kwang Il
Issue:
Volume 14, Issue 3, June 2026
Pages:
71-78
Received:
25 December 2025
Accepted:
15 January 2026
Published:
12 June 2026
DOI:
10.11648/j.sjams.20261403.11
Downloads:
Views:
Abstract: In general, thermal analysis is a very convenient way to study the kinetics of thermally activated solid reactions, and experiments involving thermally activated solid reactions typically occur under nonisothermal conditions. The experimental data analysis obtained under non-isothermal conditions includes a temperature integral, also called the Arrhenius integral, which is one of the integrals that belong to many interesting integrals that are important in engineering and have no analytical solution. There are many different approximations that can be applied to the processing of thermogravimetric analysis data, since there is no standard way to calculate the temperature integral. Many approximations of the temperature integral that are important to use determine the kinetic parameters, especially the activation energy, which are typically divided into two categories: exponential and rational approximations. In order to evaluate the accuracy of various approximations of the temperature integral, we consider several certain continuous intervals. When choosing an approximation of the temperature integral needed to analyze the experimental data, it is necessary to analyze the accuracy at different temperature intervals of the approximation and use the appropriate one. We present new rational, irrational and continued fractional approximations together with approximations of the temperature integral presented in several literatures and calculate the relative errors of their activation energies.
Abstract: In general, thermal analysis is a very convenient way to study the kinetics of thermally activated solid reactions, and experiments involving thermally activated solid reactions typically occur under nonisothermal conditions. The experimental data analysis obtained under non-isothermal conditions includes a temperature integral, also called the Arr...
Show More
