## 2 Results and Discussion
### Desorption
\begin{table}
\begin{tabular}{c c c c c c c c c c c c c c c} \hline \hline  & \multicolumn{3}{c}{**Coded Variables**} & \multicolumn{3}{c}{**Real Variables**} & \multicolumn{8}{c}{**Objective Functions**} \\ \cline{2-13}
**Exp.** & **T** & **E** & **T (\({}^{\circ}\)C)** & **EtOH (\%)** & **Y\({}_{\rm temp}\)** & **Y\({}_{\rm turb}\)** & **Y\({}_{\rm turb}\)** & **Y\({}_{\rm syn}\)** & **Y\({}_{\rm turb}\)** & **Y\({}_{\rm syn}\)** & **Y\({}_{\rm turb}\)** & **Y\({}_{\rm turb}\)** & **Y\({}_{\rm turb}\)** & **Y\({}_{\rm turb}\)** & **Y\({}_{\rm turb}\)** \\ \hline
1 & \(-\)1 & \(-\)1 & 25 & 48 & 62.0 & 59.6 & 20.9 & 21.3 & 0.444 & 0.439 & 0.242 & 0.255 & 11.4 & 11.1 \\
2 & 1 & \(-\)1 & 45 & 48 & 63.2 & 62.2 & 21.6 & 22.1 & 0.475 & 0.467 & 0.263 & 0.270 & 8.90 & 9.60 \\
3 & \(-\)1.4142 & 0 & 20.858 & 68 & 62.2 & 64.2 & 22.3 & 22.3 & 0.475 & 0.479 & 0.276 & 0.269 & 10.3 & 11.2 \\
4 & 1.4142 & 0 & 49.142 & 68 & 63.8 & 63.8 & 23.5 & 23.3 & 0.469 & 0.476 & 0.279 & 0.281 & 11.3 & 10.8 \\
5 & 0 & \(-\)1.4142 & 35 & 40 & 56.7 & 58.7 & 21.6 & 20.9 & 0.434 & 0.441 & 0.268 & 0.255 & 10.7 & 10.3 \\
6 & 0 & 1.4142 & 35 & 96 & 63.6 & 63.6 & 21.7 & 22.1 & 0.497 & 0.500 & 0.275 & 0.281 & 12.4 & 13.1 \\
7 & \(-\)1 & 1 & 25 & 88 & 66.9 & 65.9 & 22.4 & 22.2 & 0.514 & 0.511 & 0.279 & 0.279 & 13.0 & 11.9 \\
8 & 1 & 1 & 45 & 88 & 62.3 & 62.7 & 23.0 & 22.8 & 0.483 & 0.478 & 0.289 & 0.282 & 12.8 & 12.8 \\
9 & 0 & 0 & 35 & 68 & 64.1 & 64.5 & 21.8 & 22.2 & 0.475 & 0.469 & 0.262 & 0.261 & 10.9 & 11.1 \\
10 & 0 & 0 & 35 & 68 & 64.5 & 64.5 & 22.2 & 22.2 & 0.474 & 0.469 & 0.264 & 0.261 & 11.6 & 11.1 \\
11 & 0 & 0 & 35 & 68 & 64.5 & 64.5 & 22.6 & 22.2 & 0.457 & 0.469 & 0.260 & 0.261 & 11.1 & 11.1 \\
12 & 0 & 0 & 35 & 68 & 64.6 & 64.5 & 22.2 & 22.2 & 0.460 & 0.469 & 0.256 & 0.261 & 10.9 & 11.1 \\
13 & 0 & 0 & 35 & 68 & 64.6 & 64.5 & 22.1 & 22.2 & 0.479 & 0.469 & 0.265 & 0.261 & 11.0 & 11.1 \\ \hline \hline \end{tabular} \(\rm Y_{\odot}\): Phenolic desorption yield (%); \(\rm Y_{\odot}\): Sugars desorption yield (%); \(\rm Y_{\odot}\): Total phenolic content (g GAE/g extract); \(\rm Y_{\odot}\): Total sugar content (g D-glucose/g extract); \(\rm Y_{\odot}\): Radical scavenging activity (mM Trolox).  
\end{table} 
Table 2: Coded and real variables of a central composite design for two factors and experimental and calculated values of the objective functions during operation with Diaion HP20. \begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline
**Exp.** & \(\mathbf{Y_{texp}}\) & \(\mathbf{Y_{1 cale}}\) & \(\mathbf{Y_{2 exp}}\) & \(\mathbf{Y_{2 cale}}\) & \(\mathbf{Y_{3 exp}}\) & \(\mathbf{Y_{3 cale}}\) & \(\mathbf{Y_{4 exp}}\) & \(\mathbf{Y_{4 cale}}\) & \(\mathbf{Y_{5 exp}}\) & \(\mathbf{Y_{5 cale}}\) \\ \hline
1 & 41.7 & 42.1 & 16.6 & 16.6 & 0.350 & 0.387 & 0.220 & 0.245 & 7.98 & 7.65 \\
2 & 46.1 & 46.0 & 16.5 & 17.2 & 0.307 & 0.328 & 0.176 & 0.199 & 8.87 & 8.87 \\
3 & 49.3 & 47.8 & 18.5 & 18.1 & 0.413 & 0.392 & 0.249 & 0.238 & 8.43 & 8.70 \\
4 & 50.5 & 49.8 & 19.1 & 18.1 & 0.397 & 0.399 & 0.241 & 0.235 & 9.22 & 9.02 \\
5 & 39.5 & 39.8 & 16.1 & 15.6 & 0.356 & 0.319 & 0.233 & 0.202 & 7.63 & 7.85 \\
6 & 45.1 & 42.7 & 15.5 & 14.7 & 0.297 & 0.315 & 0.165 & 0.177 & 8.92 & 8.77 \\
7 & 44.3 & 46.6 & 16.0 & 16.6 & 0.323 & 0.321 & 0.188 & 0.183 & 9.36 & 9.29 \\
8 & 43.7 & 45.5 & 15.1 & 16.1 & 0.408 & 0.390 & 0.234 & 0.225 & 8.25 & 8.52 \\
9 & 51.5 & 50.4 & 18.4 & 17.8 & 0.410 & 0.437 & 0.235 & 0.247 & 13.3 & 13.3 \\
10 & 50.9 & 50.4 & 17.8 & 17.8 & 0.419 & 0.437 & 0.235 & 0.247 & 14.0 & 13.3 \\
11 & 49.0 & 50.4 & 16.5 & 17.8 & 0.469 & 0.437 & 0.254 & 0.247 & 12.9 & 13.3 \\
12 & 50.5 & 50.4 & 18.8 & 17.8 & 0.432 & 0.437 & 0.259 & 0.247 & 13.1 & 13.3 \\
13 & 50.0 & 50.4 & 17.5 & 17.8 & 0.452 & 0.437 & 0.235 & 0.247 & 13.4 & 13.3 \\ \hline \end{tabular} Y\({}_{1}\): Phenolic desorption yield (%); Y\({}_{2}\): Sugars desorption yield (%); Y\({}_{3}\): Total phenolic content (g GAE/g extract); Y\({}_{4}\): Total sugar content (g D-glucose/g extract); Y\({}_{5}\): Radical scavenging activity (mM Trolox).  
\end{table}