3.1. Chemical Properties of the Date Syrup
The chemical composition of the DS sample is presented in
Table 2. According to the results, the concentrations of polysaccharides (glucose, fructose, and sucrose), protein, and fat in the studied DS were 74.5%, 0.8%, and 0.1%, respectively. In addition, the chemical analysis revealed that this DS has about 1% sucrose (molecular weight of 342 mol/g), 30% glucose (molecular weight of 180 mol/g), and 34% fructose (molecular weight of 180 mol/g). These carbohydrate molecules affect the Tg of food products [
29]. Therefore, it is important to understand the concentration of these molecules in a product that is supposed to be dried. According to the literature, the total sugar content of DS may reach about 88%, and fructose and glucose are the two main sugars molecules of this syrup [
30]. Besides, DS contains some other elements, including minerals, metal ions, and vitamins, which can make it a nutritious food commodity. In the present study, the ash content of the DS was approximately 2%, including non-fat, non-sugar, and non-protein components (
Table 2). Similar to the DS, the AG used in the present study contained limited amounts of fat, protein, and ash (2.5%, 0.14%, and 3.11%, respectively).
3.2. Physical Properties of the Date Syrup Powders
The preliminary results revealed that the production of DS powder without incorporation of AG was not feasible due to the high CD of the dehydrated DS samples. Physical properties of the DS powder samples (containing 30%, 40%, 50%, and 60% AG), including color values,
pb, CD, and Tg, are presented in
Table 3. According to the results, the
pb of the samples increased from 590 to 610, 690, and 730 kg·m
−3 when the concentration of AG was increased from 30% to 40%, 50%, and 60%, respectively. This observation is related to the higher
pb of AG (730 kg·m
−3) than that of the pure DS powder. These data indicate that the
pb of DS powders increased with the AG level. Moreover, the addition of AG to DS reduced the CD and hence can enhance the storage and handling ability of the resulting powder. The decreased CD could be correlated with the Tg. According to
Table 3, the Tg of the DS was −1.27 °C, which indicates that this food commodity is expected to be at its rubbery state when stored at room temperature. As the AG has a higher Tg (84.73 °C) than DS (−1.27 °C), it acts as an anti-plasticizer component by increasing the Tg of the mixture. Therefore, the Tg of the syrup increased with increasing the AG concentration. The Tg values of the DS powders with 30%, 40%, 50%, and 60% AG levels were 10.2, 17.4, 28.2, and 40.9 °C, respectively. Consequently, increasing the concentration of AG from 0% to 60% greatly decreased the CD from 54.82% to 0.08%.
3.3. Sorption Isotherms
The EMC of samples at the studied temperatures are shown in
Table 4. The EMC of AG-containing samples (DS-AG) was less than that of DS at similar a
w values. This observation could be related to the ability of AG in reducing the hygroscopic properties of mixtures [
31]. The incorporation of this hydrocolloid in DS changed the hydrophilic–hydrophobic balance and affected the amount of adsorbed H
2O molecules. Furthermore, the water sorption phenomenon can be related to the swelling-caused changes in the polymer structural [
32]. According to the literature, the stability of AG-containing systems might be correlated with the a
w and Tg, which were affected by gum incorporation [
33]. Therefore, the samples were sticky at temperatures above Tg and non-sticky at temperatures below Tg. Likewise, a study on the impacts of AG on Tg of strawberry pulp powder showed that increasing the hydrocolloid concentration enhanced the Tg of the mixture [
12]. It also showed that the EMC of AG-containing samples was lower than the samples that were free from the gum. A similar observation was made for a dried mixture of pineapple syrup and AG [
31]. Furthermore, researchers confirmed that enhancing the moisture content (from 0% to 30%) reduced the Tg of lyophilized pineapple pulp whereas the addition of AG minimized this highly plasticizing effect of water [
31].
The data presented in
Table 4 illustrates that the EMC of samples was reduced by an increase in the temperature (5–60 °C). Similar results were reported previously for cowpea and fig samples [
34,
35]. At elevated temperatures, intermolecular forces of attraction diminish because of the increased kinetic energy of molecules, resulting in increased molecular mobility. For that reason, H
2O molecules, which have limited motions, are expected to form stronger bonds with the binding sites of polymer molecules when the temperature is low [
35].
Figure 1,
Figure 2,
Figure 3 and
Figure 4 represent the sorption isotherms obtained from the experimental data at different temperatures along with graphs acquired from the studied mathematical models. Generally, all isotherms showed a slight increase and a sharp increase in the EMC at the low ranges of a
w and at the intermediate ranges of a
w (~0.5), respectively. This trend was comparable to a common pattern that was previously reported for food materials with a high sugar content [
19,
36]. This is because of the principal influence of solvent-solute interactions on the dissolution of sugar molecules [
12]. In addition, the isotherm of the DS-AG powder was significantly different from that of DS. This observation was in line with those reported for some fruit samples in the literature [
12,
31]. According to the results, all the experimental isotherms in the present study are similar to that of the type III isotherm based on the classification of Brunauer [
31].
The results showed that the anti-plasticizing effect of AG was different from those of maltodextrin for date powder production [
19]. For example, at 5 °C (the a
w of 0.128), the EMC of samples was changed from 0.1269 to 0.0230 and 0.02113 when 60% of AG and maltodextrin was used in the formulation, respectively. In other words, incorporation of 60% AG and maltodextrin resulted in an 82% and 83% decrease in EMC (
Table 4). Similarly, at 60 °C (a
w of 0.095), the EMC of the sample was changed from 0.0256 to 0.0116 and 0.0135 when 60% of AG and maltodextrin was used in the formulation, respectively; that is to say, incorporation of 60% AG and maltodextrin resulted in a 55% and 47% decrease in EMC of the samples, respectively. Indeed, the differences between the anti-plasticizing effects of these natural anti-plasticizers were more profound at higher temperatures. According to the data reported in the present study and a previous effort on date powder production [
19], it can be highlighted that both AG and maltodextrin can be used as effective anti-plasticizers while the variations in the intensity of their effects suggest a need for an optimization study, in terms of concentration and type of anti-plasticizer, before commercial production of date syrup powder.
3.4. Data Modeling
The estimated constants of the studied equations, i.e., GAB, BET, and Peleg, are presented in
Table 5.
Besides, the criteria for considering a mathematical equation as an appropriate model, including R
2, RSS, SEE, and Me, are illustrated in
Table 6. The greatest R
2 values and the minimum RSS, SEE, and M
e values can be regarded as a sign of better correlations between the experimental and calculated data. According to the above-described criteria, GAB and Peleg models (R
2 > 0.98) are suitable for the prediction of EMC of DS and DS-AG samples. According to the presented data in
Table 6, the average M
e values of the Peleg and GAB model are considerably (about 90%) smaller than that of the BET model, which indicates that the experimental data can be satisfyingly fitted into these models.
The GAB model yielded average M
e values of 8.46% (ranging from 7.00% to 9.22%), 8.03% (ranging from 5.89% to 10.22%), 8.82% (ranging from 8.06% to 9.84%), 7.48% (ranging from 6.08% to 8.60), and 7.79% (ranging from 5.66% to 8.89%) for DS powders containing 0% (control sample), 30%, 40%, 50%, and 60% AG, respectively. Furthermore, Peleg models yielded average M
e values of 8.07%, 7.98%, 7.71%, 6.74%, and 3.8% for DS powders containing 0%, 30%, 40%, 50%, and 60% AG, respectively. Moreover, average M
e values of 15.38%, 17.23%, 16.33%, 19.04%, and 19.21% were obtained from the BET model for DS powders containing 0%, 30%, 40%, 50%, and 60% AG, respectively. These findings were in agreement with that documented by Aviara et al. (2006), who mentioned that only relying on RSS and SEE is an inappropriate approach to determine the suitability of a model for fitting experimental moisture sorption isotherms [
37]. It seems that the GAB and Peleg equations gave the most appropriate fit for the sorption isotherms of the studied samples with a wide range of a
w according to the SEE, RSS R
2, and M
e values (
Table 6). This also indicates that the BET model was not able to describe the water activity-EMC well in DS powder, indicating the phenomena of dissolution may predominate over sorption. Therefore, concentrations of the monolayer water (M
0) at various temperatures were obtained through these two models. The M
0 values of the DS samples were higher than those of the AG-containing samples. Higher concentrations of AG resulted in smaller amounts of M
0. This was the case for both the GAB and BET models at all the studied temperatures. AG has the role of an effective anti-plasticizer in the present study. This anti-plasticizer has a larger size and a higher molecular weight than small sugar molecules of DS. These characteristics of AG can decrease the monolayer water level by reducing the overall ratio of interaction sites.
According to the results, M
0 values of the control (DS) at 5 to 60 °C varied from 0.06 to 0.11 and from 0.06 to 0.37 (g water/g dry solids) for the BET and GAB models, respectively. Likewise, a previously conducted study calculated 0.06 to 0.17 (g water/g dry solids) for M
0 values of date paste at 5 to 40 °C [
38]. The results of the current study revealed that the M
0 value was reduced by an increase in the temperature (from 5 to 60 °C). A similar observation was reported for fig, pineapple, and DS [
31,
35,
38]. The reduction of M
0 may be illustrated by highlighting the effects of temperature on the physicochemical characteristics of the biopolymers. The strength of hydrogen bonds of polymers can be reduced at elevated temperatures. This phenomenon can enhance the availability of active sites of the polymer for binding water molecules, which can increase the amount of monolayer water [
35].
According to the literature, reduced temperatures can facilitate the formation of powerful exothermic adsorbent–adsorbate interactions, enhancing the C parameter of Equation (1) [
31]. A similar observation was made in the current study. According to the results, increasing the temperature from 5 to 60 °C enhanced the C parameter steadily (Equations (3) and (4)). Likewise, a non-regular variation of the C parameter due to temperature variations was observed previously for immature acerola juice powder containing AG.
The K parameter, which represents the interactions between multilayer molecules and the adsorbent, is prone to range from the energy level of the molecules in liquid water to that of the monolayer. The water multilayers are expected to have liquid water properties when the K value is approximately one [
32]. Similarly, in the current study, the K value of DS powders showed only negligible changes (ranged from 0.8 to 1.2).