*2.4. Kinetic Modelling*

The rate equation for a single-step global kinetic model for solid-state degradation under isothermal heating is given as Equation (1).

$$\frac{d\theta}{dt} = A \exp^{\left(-\frac{E}{RT}\right)} f(\theta) \tag{1}$$

where *R* is the universal gas constant (8.314 J/(mol\*K), *f*(*θ*) is the differential decomposition model, *A* = pre-exponential frequency factor, and *θ* is the conversion degree expressed as Equation (2).

$$\theta = \frac{\mathcal{W} - \mathcal{W}\_i}{\mathcal{W}\_f - \mathcal{W}\_i} \tag{2}$$

The *W*, *Wi*, *Wf* , respectively, are sample mass (%) at temperature T, initial mass, and residual mass. Inserting the constant linear heating rate, *β* = *dT dt* , into Equation (1) yields the dynamic heating condition (Equation (3)):

$$\frac{d\theta}{dT} = \frac{A}{\beta} \exp^{\left(-\frac{E}{RT}\right)} f(\theta) \tag{3}$$
