## 3 Results and Discussion
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multirow{2}{*}{**Parameter**} & \multirow{2}{*}{**Constant**} & \multirow{2}{*}{**Mass Gain**} & **Dry Matter Loss** & **Water Gain** & **Moisture Content Increase** & **Volume Increase** \\  & & & **Loss** & **Mean** & **Mean** & **Mean** \\ \hline \multirow{2}{*}{\(A_{1}\)} & \(a_{1}\) & 1.10290 & 0.16104 & 2.40345 & 0.41313 & 0.38017 \\  & \(a_{2}\) & 1.42394 & 1.55455 & 1.56684 & 0.14512 & 1.59827 \\ \hline \multirow{2}{*}{\(A_{2}\)} & \(a_{1}\) & 0.011832 & 1.23212 & 0.06008 & 0.56068 & 0.06615 \\  & \(a_{2}\) & 0.06886 & 0.13049 & 0.011713 & 0.06174 & 0.02050 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Values of constants in Equation (5) for \(A_{1}\) (mass gain, water gain, moisture content increase, and volume increase), in Equation (6) for \(A_{1}\) (dry matter loss), and in Equation (7) for \(A_{2}\). Taking into account the achieved values of R\({}^{2}\) and the RMSE, it can be accepted that developed Equations (5)-(7) described the influences of the solid-to-liquid ratio on the Peleg model constants \(A_{1}\) and \(A_{2}\) well enough. Although the RMSE values for Equation (7) describing the dependence of Peleg capacity constant \(A_{2}\) for mass gain and volume increase on the mentioned ratios were high (39.3976 for mass gain and 29.7406 for volume increase), the values of R\({}^{2}\) were sufficiently high (0.9904 1/g for mass gain and 0.9920 1/cm\({}^{3}\) for volume increase). The course of the dependence between the value of the Peleg rate constant \(A_{1}\) and the amount of rehydrating water according to developed Equations (5) and (6) is shown in Figure 2. Generally speaking, it can be admitted that the value of \(A_{1}\) increased with the increasing amount of rehydrating water. Therefore, it can be stated that the rates of the rehydration (mass gain, dry matter loss, water gain, moisture content increase, and volume increase) at the early stage of the process decreased with the increasing amount of rehydrating water. The kinetics of variation in the value of the Peleg capacity constant \(A_{2}\) with the amount of rehydrating water according to developed Equation (7) is shown in Figure 3. It can be noticed that the value of \(A_{2}\) decreased with the increasing amount of rehydrating water. Therefore, it can be concluded that the equilibrium values of mass gain, water gain, moisture content increase, and volume increase increased with the increasing amount of rehydrating water whereas for dry matter loss equilibrium values decreased with the increasing amount of water. The values of the Peleg model parameters \(A_{1}\) and \(A_{2}\) obtained form Equations (5)-(7) for extreme values of the solid-to-liquid ratio can be found in Table 5. The results obtained for \(A_{1}\) confirmed the statement that when the amount of rehydrating water grew up the rate of the rehydration during the early stage of the process slowed down. For \(M_{w}/m_{d}\)\(\rightarrow\)\(\infty\), the Peleg rate constant \(A_{1}\) presented the highest values for mass gain, water gain, moisture content increase, and volume increase. On the other hand, for \(m_{d}/M_{w}\)\(\rightarrow\)\(\infty\), parameter \(A_{1}\) showed the lowest value for dry matter loss. The Peleg capacity constant \(A_{2}\) values obtained from Equation (7) for \(M_{w}/m_{d}\)\(\rightarrow\)\(\infty\) were the lowest. It confirmed the statement that when the amount of rehydrating water increased, the equilibrium values of mass gain, water gain, moisture content increase, and volume increase increased and the equilibrium value of dry matter loss decreased. Developed Equations (5)-(7) with constants shown in Table 3 were then used in the Peleg model, and such a model was applied to simulate dried red beets rehydration curves, namely kinetics of mass gain, dry matter loss, water gain, moisture content increase, and volume increase.