Kinetic analysis of non-isothermal rate measurements

Many non-isothermal kinetic studies use a linear rate of temperature increase from an initial value, T0, so that the three equations involved can be written 

One possible approach (which has not found particular favour) is to put 

It would then be possible to verify obedience of data to eqn. (18) from tabulated values of k and T. This has the advantage that plots of log k against T-1 can be considered and these Arrhenius plots allow the calculation of A and E in exactly the same manner as data collected from a series of isothermal plots. 

The more usual analysis proceeds with retention of the Arrhenius equation to give the alternative expressions 

A and E may be evaluated from the plot of log [(da/dT)/f (a)] against T 1 provided the form of f (a) is known. Approximations for the f (a)— time function may sometimes be conveniently used. For example, when 

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