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Kinetic analysis of solid-state reactions: errors involved in the determination of the kinetic parameters calculated by one type of integral methods

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The integral methods are extensively used for performing the kinetic analysis of solid-state reactions. As the Arrhenius integral function p(u) does not have an exact analytical solution, many approximations have been proposed. One popular type of approximations is called the exponent approximation which can be put in the form \(p(u) = e^{a+b\,ln\,u+cu}\) . In this study, a systematic analysis of the errors involved in the determination of the kinetic parameters calculated by the integral methods based on the exponent approximations for p(u) has been carried out. The results have shown that the precision of the kinetic parameters computed from the integral methods analyzed in this paper depends on u and the errors of the kinetic parameters determined from Doyle approach are the largest.

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Authors and Affiliations

  1. Biomass Energy Engineering Research Center, School of Agriculture and Biology, Shanghai Jiao Tong University, 2678 Qixin Road, Shanghai, 201101, People’s Republic of China

    Junmeng Cai & Ronghou Liu

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  1. Junmeng Cai
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  2. Ronghou Liu
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Correspondence to Junmeng Cai.

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Cai, J., Liu, R. Kinetic analysis of solid-state reactions: errors involved in the determination of the kinetic parameters calculated by one type of integral methods. J Math Chem 43, 914–920 (2008). https://doi.org/10.1007/s10910-007-9273-3

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  • DOI: https://doi.org/10.1007/s10910-007-9273-3

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