Dependence of the frequency factor on temperature: The relationship between the reaction extent at the maximum reaction rate and the reaction mechanism

In the present paper, the correlation between the reaction extent at the maximum reaction rate (termed as alpha(m)) and the reaction mechanism has been mathematical derived from the fundamental kinetic equations for a solid-state reaction. In the derivation, the dependence of the frequency factor on temperature (A = A(0)T(n), where A is the frequency factor, A(o) is a constant, T is the temperature, and n is the exponent) has been considered since the frequency factor is connected with temperature to some solid-state reactions. The results have shown that the values of alpha(m) are dependent on the reaction mechanism, the values of n and x(m) (= E/RTm where E is the activation energy, R is the gas constant and T-m is the temperature at the maximum reaction rate). The alpha(m) values with different values of x. and n for each mechanism analyzed in this work have been calculated and the influences of some parameters on the alpha(m) values have also been discussed. (C) 2007 Elsevier Masson SAS. All rights reserved.