Introduction to Thermal Analysis: Techniques and Applications, Second Edition

The main approaches which have been used in kinetic analysis of isothermal data for decompositions and other reactions of solids are listed below [2], [3]. These are all based on the initial assumption that a single conversion function and a single set of Arrhenius parameters, A and E, apply over the full range of ?. It is always necessary to watch for any indications, such as curved Arrhenius plots, that may indicate that these assumptions are not valid.
The linearity of plots of g( ?) (from Table 10.1) against time is determined.
Plots of a against measured values of reduced-time are compared with similar plots calculated for the rate equations in Table 10.1. Measured time values are corrected by subtraction of t o, the induction period to onset of the main reaction (also including the time required to heat the reactant to temperature, T). Experimental time values, ( t - t o), can then be scaled by the reduced-time factor, t red = ( t - t o)/( t 0.5 - t o), where t 0.5 is the time at which ? = 0.50 and k( t 0.5 - t o) = 1.0. Plots of measured values of ? against fred, for all experiments including those at different isothermal temperatures, should then all fall on a single curve. This composite curve can be...