## 2 Results
### Determination of DVB-co-GMA-TETA Sorption Capacity
\begin{table}
\begin{tabular}{c c c c} \hline
**Equation No.** & **Isotherm** & **Non-Linear Isotherm Form** & **Calculated Parameters** \\ \hline (2) & [PERSON] & \(q_{e}=k_{F}\mathrm{C}_{s}^{1/n}\) & \(k_{F}\)(mg\({}^{-1/n}\) L11/g) and \(n\) are the Freundlich constants related to adsorption capability and adsorption intensity, respectively \\ (3) & Langmuir & \(q_{e}=\frac{k_{0}\mathrm{G}_{c}}{1+\mathrm{G}_{k}\mathrm{C}_{s}}\) & \(k_{L}\) (m/mg) is the constant parameter of adsorption equilibrium, \\  & & & \(Q_{0}\) (mg/g) is the monolayer adsorption capacity \\ (4) & Temkin & \(q_{e}=\frac{\mathrm{g}T}{\mathrm{g}_{T}}lnAC_{e}\) & \(b_{T}\) (g/mol mg) is the Temkin constant related to the heat of \\  & & & adsorption, \(A\) (1/mg) is the Temkin isotherm equilibrium \\  & & & binding constant \\  & & & \(q_{e}=q_{\mathrm{exp}}\mathrm{d}^{\mathrm{max}}\) \({}^{2}\) & \(q_{w}\) (mg/g) is the maximum adsorption capacity, \\  & & \(k_{\mathrm{D}}\) (mol\({}^{2}\)) \({}^{2}\)) is the constant related to the adsorption energy. \\  & & \(\varepsilon=RTln[1+\frac{1}{\mathrm{c}_{s}}]\) & \(k_{\mathrm{D}}\) (mol) is the adsorption potential, \\  & & \(E=\frac{1}{\sqrt{2}\mathrm{cm}}\) & \(E\) (J/mol) is the mean free energy for removing dye molecule \\  & & & from its adsorption site to the infinity \\ \hline \end{tabular} where \(R\) is the gas constant (8.314 J/mol K), \(T\) (K) is the temperature.  
\end{table} 
Table 2: Isotherm models applied for fitting of experimental data [20]. \begin{table}
\begin{tabular}{c c c c c} \hline
**Isotherm** & **Parameters** & \multicolumn{3}{c}{**Dyes**} \\ \cline{3-5}  & & **AV1** & **AG16** & **AR18** \\ \hline \multirow{5}{*}{Freundlich} & \(k_{F}\)(mg\({}^{1-1/n}\) L11/n/g) & 30.5 & 6.7 & 36.3 \\  & 1/\(n\) & 0.33 & 0.59 & 0.36 \\  & MPSD & 1.487 & 0.359 & 1.472 \\  & \(R^{2}\) & 0.935 & 0.934 & 0.951 \\  & \(R^{2}_{adj}\) & 0.925 & 0.925 & 0.944 \\ \hline \multirow{5}{*}{Langmuir} & \(k_{L}\) (L/mg) & 2.8 & 0.030 & 0.77 \\  & \(Q_{0}\) (mg/g) & 58.3 & 129.2 & 143.7 \\  & MPSD & 4.165 & 0.536 & 3.482 \\  & \(R^{2}\) & 0.661 & 0.665 & 0.895 \\  & \(R^{2}_{adj}\) & 0.612 & 0.617 & 0.880 \\ \hline \multirow{5}{*}{Temkin} & \(b_{T}\) (g/mol mg) & 351.2 & 273 & 300.5 \\  & \(A\) (L/mg) & 175.4 & 2.1 & 159.6 \\ \cline{1-1}  & MPSD & 3.310 & 2.108 & 3.499 \\ \cline{1-1}  & \(R^{2}\) & 0.915 & 0.884 & 0.934 \\ \cline{1-1}  & \(R^{2}_{adj}\) & 0.903 & 0.867 & 0.925 \\ \hline \multirow{5}{*}{Dubinin-Radushkevich} & \(q_{m}\) (mg/g) & 64.7 & 33.67 & 63.7 \\ \cline{1-1}  & \(k_{DR}\) (mol\({}^{2}\) J\({}^{2}\)) & 3,8\(\cdot\)10\({}^{-8}\) & 1.6\(\cdot\)10\({}^{-6}\) & 3.6\(\cdot\)10\({}^{-8}\) \\ \cline{1-1}  & \(E\) (kJ/mol) & 3.6 & 0.57 & 4.4 \\ \cline{1-1}  & MPSD & 7.627 & 3.863 & 6.350 \\ \cline{1-1}  & \(R^{2}\) & 0.477 & 0.340 & 0.626 \\ \cline{1-1}  & \(R^{2}_{adj}\) & 0.402 & 0.246 & 0.573 \\ \hline \end{tabular}
\end{table} 
Table 3: Values of parameters calculated in terms of isotherm models used. isotherms were in the range 0.8017-0.9677); however, the Redlich-Peterson isotherm fit the adsorption process best. In the case of the Langmuir model, the coefficients of determination (and adjusted, \(R^{2}\)) were observed to be very low: 0.661, 0.665 and 0.895 for AV1, AG16 and AR18, respectively. The monolayer sorption capacities (\(Q_{0}\)) equal 58.3 mg/g for AV1, 129.2 mg/g for AG16 and 143.7 mg/g for AR18 and do not coincide with the maximum sorption capacities values obtained under experimental conditions (\(Q_{\mathit{cr}}\) exp). The maximum sorption capacities calculated from the Dubinin-Radushkevich model (\(q_{\mathit{m}}\) = 33.67-64.7 mg/g) do not match the experimental data either. The estimated values of the mean free energy \(E\) indicated that the sorption of the acid dyes on DVB-\(\mathit{co}\)-GMA-TETA is of a physical nature (\(E<8\) kJ/mol) [21].