## 3 Results and Discussion
### Characteristics of Anb/C and Anb/AgNP/C Composites
Figure 9: Progress of 25% (**A**), 50% (**B**), 75% (**C**), and 95% (**D**) of adenosine adsorption from the one-component and two-component solutions at various temperatures. Generally, the average halftimes and rate constants confirm that the process of adenosine adsorption on carbon is faster along with a temperature rise. The parameters for kinetics of adenosine adsorption from two-component solutions evidence that the process runs at a lower rate compared to the systems without the metallic phase. Analyzing relative adenosine uptakes \(\mathrm{u_{eq}}\) (1 and 0.93-0.95 for one-and two-component solutions, respectively) one can notice also the negative influence of the coadsorbate presence on adsorption in the quantitative aspect. In Figure 11, the distribution of adsorption halftimes and rate coefficients as a relative contribution of slow and fast kinetic terms in the m-exp. equation is shown. The broader distribution of the parameters means the greater differentiation of successive stages rates of the process. Faster kinetics at 40 \({}^{\circ}\)C corresponds to a greater contribution of shorter halftimes, \(\mathrm{t_{05}}\), and higher rate constants, \(\mathrm{k_{i}}\), in comparison to those at other temperatures. Similarly, differentiation in the distribution of rate parameters for the adenosine adsorption from the one- and two-component solutions at a given temperature is noticeable. Due to the multiexponential equation enabling to obtain the average adsorption half-time \(\mathrm{t_{0.5}}\) numerically, this parameter can be used to find temperature dependence of adsorption kinetics. In Figure 12, the dependences of the logarithm of average halftimes on \(1/\mathrm{T}\) for the investigated systems at various temperatures are drawn. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**System** & **m-exp** & **FOE** & **SOE** & **MOE** & **f-FOE** & **PDM (a)** & **PDM (b)** \\ \hline
**Anb/C (10 \({}^{\circ}\)C)** & 0.356\% & 0.385\% & 6.58\% & 0.369\% & 0.366\% & 2.90\% & 0.501\% \\ \hline
**Anb/C (25 \({}^{\circ}\)C)** & 0.157\% & 0.464\% & 6.30\% & 0.344\% & 0.287\% & 2.27\% & 0.269\% \\ \hline
**Anb/C (40 \({}^{\circ}\)C)** & 0.209\% & 0.661\% & 6.47\% & 0.483\% & 0.403\% & 2.11\% & 0.358\% \\ \hline
**Anb/AgNP/C (10 \({}^{\circ}\)C)** & 0.500\% & 0.778\% & 4.17\% & 0.559\% & 0.505\% & 0.680\% & 0.552\% \\ \hline
**Anb/AgNP/C (25 \({}^{\circ}\)C)** & 0.415\% & 1.93\% & 2.42\% & 1.18\% & 0.797\% & 1.11\% & 0.674\% \\ \hline
**Anb/AgNP/C (40 \({}^{\circ}\)C)** & 0.556\% & 0.699\% & 3.94\% & 0.656\% & 0.623\% & 1.17\% & 0.754\% \\ \hline
**average** & 0.366\% & 0.820\% & 4.98\% & 0.599\% & 0.497\% & 1.71\% & 0.518\% \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Comparison of the parameters of various kinetic models and equations. Figure 11: Comparison of distributions of adsorption half-times \(\mathrm{t_{05,i}}\), (**A**) and \(\mathrm{k_{i}}\) (**B**) for adsorption of adenosine from the one- and two-component solutions on the activated carbon RIAA. Parameters \(\mathrm{t_{05,i}}\) and \(\mathrm{k_{i}}\) obtained by fitting data to the m-exp equation. Based on obtained dependences and relationship (12) developed by [PERSON] [56], thermodynamic constants were determined. The values of adsorption activation energy equal 14.87 and 22.56 kJ/mol for the one- and two-component systems, respectively. The significant difference between these values may be explained by interactions between the metallic nanoparticles and other system components which hinder adenosine adsorption. \[ln\ t_{0.5}\approx lnB-ln(q_{T}T)+\frac{E^{*}}{RT} \tag{12}\]  
where B is a model-dependent constant, q\({}_{\rm T}\) is a temperature-dependent function, and E\({}^{\star}\) is the activation energy. In line with our assumptions, a very good correlation between experimental and fitted by m-exp. equation data is observed.