## 3 Results and Discussion
The characteristic quantities were determined using Formulas (8)-(12) and are shown in Figure 3:3 The values are given in Figure 3:4 The general formula was defined on the basis that there were no additional errors that are inevitable with linearization and approximation. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multicolumn{1}{c}{**T**, \({}^{\circ}\)**C**} & \multicolumn{2}{c}{**ESRQ**} & \multicolumn{2}{c}{**HYBRYD**} & \multicolumn{1}{c}{**ARE**} & \multicolumn{1}{c}{**Fisher**} & \multicolumn{1}{c}{\(\boldsymbol{\chi^{2}}\)} \\ \hline \multirow{8}{*}{\(1.0\div 1.6\)} & 0.5 & L.I. \(3.57\cdot 10^{-5}\) & L.I. \(5.96\cdot 10^{-2}\) & L.I. \(18.3\) & L.I. \(7.04\) & L.I. \(4.17\cdot 10^{-3}\) \\ \cline{2-7}  & 1.0 \(\div 1.6\) & 1.0 & L.II. \(1.11\cdot 10^{-4}\) & L.II. \(5.46\cdot 10^{-2}\) & L.II. \(9.42\) & L.IV. \(1.34\) & L.II. \(3.82\cdot 10^{-3}\) \\ \cline{2-7}  & 2.0 & L.I. \(2.04\cdot 10^{-3}\) & L.I. \(4.49\cdot 10^{-1}\) & L.I. \(17.7\) & L.I. \(1.89\) & L.I. \(3.14\cdot 10^{-2}\) \\ \cline{2-7}  & 0.5 & L.IV. \(5.06\cdot 10^{-4}\) & L.IV. \(1.53\cdot 10^{-3}\) & L.II. \(13.2\) & L.IV. \(1.81\) & L.IV. \(1.07\cdot 10^{-2}\) \\ \cline{2-7}  & 1.6 \(\div 2.5\) & 1.0 & L.IV. \(2.81\cdot 10^{-3}\) & L.II. \(4.65\cdot 10^{-1}\) & L.II. \(18.4\) & L.IV. \(2.29\) & L.II. \(3.25\cdot 10^{-2}\) \\ \cline{2-7}  & 2.0 & L.II. \(1.93\cdot 10^{-2}\) & L.II. \(1.23\) & L.II. \(16.5\) & L.II. \(3.79\) & L.II. \(8.61\cdot 10^{-2}\) \\ \cline{2-7}  & 0.5 & L.I. \(5.98\cdot 10^{-5}\) & L.I. \(5.09\cdot 10^{-1}\) & L.I. \(10.6\) & L.I. \(11.7\) & L.I. \(3.56\cdot 10^{-3}\) \\ \cline{2-7}  & 1.0 & L.IV. \(6.60\cdot 10^{-5}\) & L.II. \(1.97\cdot 10^{-2}\) & L.II. \(4.26\) & L.IV. \(3.38\) & L.II. \(1.38\cdot 10^{-3}\) \\ \cline{2-7}  & 2.0 & L.III. \(5.28\cdot 10^{-4}\) & L.III. \(1.28\cdot 10^{-1}\) & L.II. \(4.26\) & L.IV. \(3.38\) & L.II. \(1.38\cdot 10^{-3}\) \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Analysis of model fit error functions. Figure 10: Examples of the fit of the measurement results with respect to the Langmuir model according to the analyzed linearizations at 15 \({}^{\circ}\)C for sorbent grains of 1.0–1.6 mm (**A**) and 2.0–5 mm (**B**). In Table 3, individual cells are labeled as L with the corresponding Roman numeral, referring to the specific linearization method. For example, in the first row, the lowest ESRQ, HYBRD, ARE, and \(\chi^{2}\) values were obtained using Langmuir linearization, labeled LI. The same situation applies for Fisher's test; however, this test determines the best fit  
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multicolumn{1}{c}{**T, \({}^{\circ}\)C**} & \multicolumn{2}{c}{**ESRQ**} & **HYBRYD** & **ARE** & **Fisher** & \(\chi^{2}\) \\ \hline \multirow{8}{*}{\(10\,\,\mathrm{\SIUnitSymbolDegree}\)C} & 0.5 & L.I. \(3.20\cdot 10^{-5}\) & L.I. \(4.62\cdot 10^{-2}\) & L.I. \(12.2\) & L.III. \(4.55\) & L.I. \(3.23\cdot 10^{-3}\) \\ \cline{2-7}  & \(1.0\,\,\mathrm{\SIUnitSymbolDegree}\) & L.IV. \(1.94\cdot 10^{-4}\) & L.II. \(9.35\cdot 10^{-2}\) & L.II. \(12.8\) & L.IV. \(1.05\) & L.II. \(6.55\cdot 10^{-3}\) \\ \cline{2-7}  & 2.0 & L.III. \(9.15\cdot 10^{-4}\) & L.IV. \(1.22\cdot 10^{-1}\) & L.II. \(7.29\) & L.III. \(6.36\) & L.IV. \(8.54\cdot 10^{-3}\) \\ \cline{2-7}  & 0.5 & L.IV. \(2.29\cdot 10^{-4}\) & L.IV. \(8.84\cdot 10^{-2}\) & L.II. \(11.5\) & L.IV. \(1.58\) & L.IV. \(6.19\cdot 10^{-3}\) \\ \cline{2-7}  & 1.0 & L.II. \(3.80\cdot 10^{-3}\) & L.II. \(5.27\cdot 10^{-1}\) & L.II. \(20.0\) & L.II. \(1.19\) & L.II. \(3.69\cdot 10^{-2}\) \\ \cline{2-7}  & 2.0 & L.II. \(2.16\cdot 10^{-3}\) & L.II. \(3.90\cdot 10^{-1}\) & L.I. \(12.5\) & L.II. \(9.59\cdot 10^{-1}\) & L.II. \(2.73\cdot 10^{-2}\) \\ \cline{2-7}  & 0.5 & L.IV. \(1.16\cdot 10^{-4}\) & L.II. \(6.94\cdot 10^{-2}\) & L.II. \(13.7\) & L.IV. \(1.23\) & L.II. \(4.86\cdot 10^{-3}\) \\ \cline{2-7}  & 2.0-5.0 & L.IV. \(6.63\cdot 10^{-5}\) & L.IV. \(1.81\cdot 10^{-2}\) & L.II. \(4.29\) & L.IV. \(3.47\) & L.IV. \(1.27\cdot 10^{-3}\) \\ \cline{2-7}  & 2.0 & L.IV. \(6.23\cdot 10^{-4}\) & L.IV.