Algorism for the solution of the exponential integral in non-isothermal kinetics at linear heating

Abstract

The solution of the exponential integral at linear heating for the general case that the activation energy linearly depends on temperature according toE(T)=E ₀+RBT is

$$\frac{A}{q}\int\limits_0^T {T^B \exp \left( { - \frac{{E_0 }}{{RT}}} \right) dT = \frac{A}{q}\left( {\frac{{RT^{B + 2} }}{{E_0 + (B + 2)RT}}} \right)} \exp \left( { - \frac{{E_0 }}{{RT}}} \right).$$

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