## 4 Discussion
### Summary of Equations for Experimental Data  
The resolution of the significance of the determined temperatures is described by three equations:  
* typical _KCE_ equation (Figure 7): \[\ln A=\frac{E}{R.914.29}+\ln\left(5.455\cdot 10^{-5}\right),\ r^{2}=0.9980\] (68)
* slope in Equation (57) provided in [43] concerning calcite dissociation from different references: \[\Delta H^{+}=1164.6\cdot\Delta S^{+}+342.22\cdot 10^{3}\] (69)
* from the linear relationship between the parameters of the three-parameter equation, Table 5 (slope in Equation (70)):  
Figure 7: Typical KCE plot representing two groups of Arrhenius parameters pairs that form one IE. \[A_{1}=896.29\cdot A_{2}+31440\ \ r^{2}=0.9977\ \text{for}\ 7\ \text{heating}\ \text{rate} \tag{70}\]  
However, according to Equation (45), for the constant temperature provided in Equation (68) \(T_{iso}=914.29\ \text{K}\), a relatively large range is obtained: \(\overset{-}{k}_{iso}=5.541\cdot 10^{-5}\pm 9.899\cdot 10^{-6}\ \text{s}^{-1}\). In turn, we calculate only one compensation constant: \(k_{c}=0.0108\ s^{-1}\) from Equation (61) for the constants given in Equation (69). The value of this constant is much higher than the calculated average value of the isokinetic constant \(\overset{-}{k}_{iso}\). Thus, the intercept in _KCE_ is literally a quantity that averages a wide range of variation in the kinetic constant at the isokinetic point. Synoptic Figure 8 explains the discrepancy between \(T_{0}\) and the experimentally obtained _KCE_. The analytical considerations take into account a very wide range of conversion degree variations up to the co-ordinate \([T_{0};\ \alpha_{0}]\) while the research scope focuses on higher conversion degrees. By making selections in the base of single column matrix \(\langle\alpha\rangle\) towards \(\alpha\in[0.1-0.9]\), the slope, or activation energy, increases. According to Table 6, the relationships between the obtained temperature quantities are not very different from each other. The identity between \(T_{iso}\) and \(T_{c}\) is not confirmed (according to Equation (62)), and in turn \(T_{c}=1164.6\ \text{K}\) approaches \(T_{\alpha\eta}=1172.4\ \text{K}\)[19]. The initial temperatures are consistent for the snapshots given in Tables 4 and 5 and, as it were, in their interval \"absorb\" the isokinetic temperature of Equation (68), which fulfills the indicator criterion of \(CQF\), \(K\)[48; 49]. The experimental data in terms of Equations (44) and (68) form a sequence of inequalities \(T_{c}>T_{iso}\), while the exact isokinetic temperature is calculated from the formula: \(\text{slope}=(RT_{iso})^{-1}\). In the correlation calculus using the ratio \(1/T\) for the exact calculation of \(T\) was emphasized in the work [43], by which the accuracy of the numerical values between _KCE_ and _EEC_ (Equations (68) and (69)) should be distinguished, which was also pointed out in [55]. However, when too large a fluctuation of the assumed constancy of \(T_{c}\) is observed, it becomes necessary to carry out selection according to the proposal of [PERSON] et al. [5; 20]. The simplest approach is represented by inequality (71):  
\[T_{c}>T \tag{71}\]  
Figure 8: An illustrative comparison of using experimental data to determine the KCE equations. where \(T\) corresponds to temperature \(T_{m}\) in Equations (55) and (56) and is determined in [20] as a working temperature. According to the findings of (71), the inequality is satisfied by Equations (68) and (69) in relation to the temperature of the maximum reaction rate, equal to \(T=T_{m}=1125.52\) K for a heating rate of 25 K/min (Table 5). In contrast, Equations (10) and (70) are closer to the definition of initial temperature. These findings remain consistent with the proposal of [43]. Following the concepts already used in Equations (46)\(-\)(49), the physicochemical sense of isokinetic and compensation temperature, which according to Equation (62) should be the same, it is most advantageous to verify in two steps based on the work [48; 49] for statistically significant correlations.