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JOURNALS // Meždunarodnyj naučno-issledovatel'skij žurnal // Archive

Meždunar. nauč.-issled. žurn., 2018 Issue 5(71), Pages 25–32 (Mi irj257)

PHYSICS AND MATHEMATICS

Statistical analysis in calculation of kinetics of chemical reactions

A. A. Pushkin, V. S. Rimkevich

Institute of Geology and Nature Management of the Far Eastern Branch of the Russian Academy of Sciences, Blagoveshchensk, Russia

Abstract: In this paper, regression and correlation of analysis methods were used to calculate the kinetic parameters of chemical reactions. The problem of the reaction zone in this work was solved by minimizing the errors of the approximations calculated for four parametric functions: power and exponential laws, the equations of Avraham and Prout-Tompkins. On the basis of nonlinear regression models, a generalized linear regression model was created for each of these functions, which allowed developing a program using three-dimensional variables and developing a test of a number of statistical hypotheses, in particular, the adequacy of the regression model, the importance of regression coefficients and the practical significance of the regression model. Verification of these three hypotheses is also carried out for the Arrhenius equation. The results of calculations of the reaction zones were compared with the results of the determination of the reaction zones by the value of the activation energy.

Keywords: rate constant, diffusion zone, reaction mechanism, nonlinear regression, linear regression, generalized linear regression, procedure.

DOI: 10.23670/IRJ.2018.71.033



© Steklov Math. Inst. of RAS, 2024