New linear integral kinetic parameters assessment method based on an accurate approximate formula of temperature integral

Abstract

Abstract This work concerns a proposition of a new assessment method to obtain kinetic parameters from nonisothermal solid‐state kinetics, based on a new and accurate approximate formula of temperature integral. The new formula was derived numerically by a two‐step linearly fitting process without using any further approximating series. The relative error involved in the activation energy has been estimated and found to be less than 0.001% in the practical range of 15 < x < 60. A comparison of the suggested approximations to published approximates has shown significant improvements in terms of accuracy at high and low x values. The validity of the new method has been confirmed by computing activation energy from experimental data. Moreover, two approaches have been proposed to determine the kinetic reaction model and preexponential factor based on the new approximate formula. The comparison of the obtained results arising from the application of the present method to others obtained by the most widely reported methods in the literature shows a remarkable preeminence of the new method.