Sustainable Removal of Cr(VI) by Lime Peel and Pineapple Core Wastes

The search for efficient and environmentally friendly adsorbents has positioned lignocellulosic materials as attractive and low-cost alternatives instead of synthetic materials. Consequently, the present work investigates the efficacy of untreated lime peel (LM) and pineapple core (PP) as biosorbents for Cr(VI) removal. The maximum adsorption capacities (acquired at 24 h) of these sorbents were 9.20 and 4.99 mg/g, respectively. The use of these sorbents is expected to offer a rapid and efficient solution to treat effluents containing Cr(VI). Pineapple core showed the best biosorption properties and good distribution coefficients (distribution coefficient KD 8.35–99.20 mL/g) and the optimization of the adsorption was carried out by a response surface methodology using the Box–Behnken design. Thus, the effect of pH, biosorbent dosage, and temperature were assessed during the whole procedure. Three different responses were studied—Cr(VI) removal, Cr biosorption, and distribution coefficient—and the optimal conditions for maximizing the responses were identified by numerical optimization applying the desirability function. The resulting optimal conditions were: initial solution pH 2.01, biosorbent dosage 30 g/L, and temperature 30.05 °C. Finally, the process scale-up was evaluated by the simulation of the process working with a column of 100 L using the Fixed-bed Adsorption Simulation Tool (FASTv2.1). This research presents the obtained environmental benefits: i) reduction of pineapple waste, ii) Cr(VI) reduction and biosorption, iii) shortest sorption time for Cr, iv) properties that allow the biosorption process on the flow system, and v) low-cost process.


Introduction
Industrial development, responsible for providing welfare to society today, is one of the chief causes of environmental contamination. This pollution involves several aspects including the generation of solid wastes as a result of different activities (e.g., agroindustrial) or the release of untreated effluents containing a variety of organic and inorganic contaminants (dyes, pesticides, heavy metals, etc.), which causes pollution in different water bodies [1]. They are a subject of great concern that requires the development of efficient treatments and disposal.
Changing the economic model from one based on producing, using, and throwing away, to a new model focused on a circular economy that involves the reuse of natural resources for the longest possible time themselves. Therefore, waste recycling and valorization become an economic and environmental issue [2].
Agroindustrial wastes have been shown as suitable raw materials to produce adsorbents with the ability to remove different kinds of pollutants by adsorption [3] due to their high lignocellulosic and the maximum adsorption capacity was attained after 24 h. pH was monitored and adjusted when necessary using 1 M NaOH or 1M HCl solutions. Flasks were shaken in an incubator (Thermo scientific MaxQ800, Thermo Fisher Scientific, Alcobendas, Madrid, Spain) at 150 rpm at studied temperatures (20-35 • C). The assays were performed in triplicates and the results are expressed by the average values.

Biosorbent Point of Zero Charge
The mass titration method was applied to the determination of the zero charge point (pH PZC ) determination [13]. Succinctly, 50 mL of a background electrolyte, NaNO 3 , was mixed with 1 g of biosorbent at different pH values (from 2 to 8) for a period of 24 h. The pH was adjusted to the chosen values with diluted HNO 3 and NaOH. A Jenway 3520 pH Meter (Thermo Fisher Scientific, Alcobendas, Madrid, Spain) was employed to measure pH.

Fourier Transform Infrared Spectroscopy (FTIR)
All the measures were obtained by a spectrometer Jasco FT/IR-4100 (Jasco Inc., Easton, MD, USA), fitted with an attenuated total reflectance (ATR) accessory. Previously, the samples were finely ground and oven-dried at 60 • C for 1 h and the pellets were obtained by the potassium bromide (KBr) pellet press method. All of them were analyzed among 4000 and 400 cm −1 with a resolution of 4 cm −1 and performing 32 scans. The different biosorbents were studied initially and after the adsorption.

Scanning Electron Microscopy (SEM) Analyses
In order to provide a morphological characterization and elemental analysis of biosorbents, SEM images and Energy Dispersive Microanalysis (EDS) were carried out on a JEOL JSM-6700F instrument (Jeol Ltd., Akishima, Tokyo, Japan) equipped with an Oxford Inca Energy 300 X-ray Energy Dispersive Spectrometer. (Oxford Instruments NanoAnalysis & Asylum Research, High Wycombe, UK) An acceleration voltage of 15 kV was used (Service of Electronic Microscopy, C.A.C.T.I., University of Vigo, Vigo, Spain).

Experimental Design
Statistical methods based on response surface methodology (RSM) have been widely applied in engineering for the optimization of several treatment processes. Box-Behnken design enables the optimization of the factors affecting the biosorption process and to ascertain its effect on the response. To optimize the chromium removal process, a Box-Behnken design for three factors was utilized and the biosorbent that showed the best performance was selected. The experimental design was composed of 2 levels and three variables (2 3 ). The number of experiments was obtained as detailed below: where cp is the replicates number at the central point and k is the factor number. In order to find the optimal level of the selected factors (initial pH (x 1 ), waste dosage in 50 mL (x 2 ) and working temperature (x 3 )), 17 runs were conducted in duplicate. The previous variables were selected as the aspects that could condition the response functions: Cr(VI) removal, and total Cr removal. The assays were accomplished similarly to previous ones in 250 mL Erlenmeyer flask at 150 rpm and with a Cr(VI) initial concentration of 50 mg/L. The obtained experimental results are provided in the design matrix (Table 1).

Statistical Analysis of the Experimental Model
Data were analyzed using a one-way analysis of variance (ANOVA) by Design Expert ® 8.0.0 software (Stat-Ease Inc., Minneapolis, MN, USA). In the RSM, the dependent and independent variables are usually correlated by applying a quadratic equation: where the independent parameters are x i and x j , the response is Y i , the slope or linear effect of the input factor is β i , the two-way linear by linear interaction effect is β ij , the quadratic effect is β ii , and the constant is β 0 [14]. Equation (2) shows the connection linking the independent variables and the forecasted responses and in terms of coded values.

Cr Analysis
The concentrations of Cr(VI) and total Cr were determined in the liquid by the colorimetric 1,5-diphenylcarbazide method at 540 nm using a spectrophotometer JASCO V-630 (Jasco Inc., Easton, MD, USA) [15]. The determination of Cr(III) was obtained from the difference between total Cr and Cr(VI).
Cr(VI) and total Cr removal efficiencies reflect the decrease of Cr(VI) in the solution and the reduction of the Cr(VI) concentration due to the generation of Cr(III) for the oxidation process and their adsorption, respectively. They were expressed in percentages terms using the Equation (3).
where the concentration of Cr(VI) or total Cr in the solution after 24 hours is C t and the initial Cr(VI) concentration is C 0 .
In the isotherm analysis, the amount of Cr adsorbed per gram of adsorbent was expressed applying the equation below: where q e is the equilibrium contaminant adsorption (mg/g), C 0 and C e are the initial and equilibrium Cr concentrations (mg/L), respectively, V the solution volume (L) and m the biosorbent dosage (g).
Appl. Sci. 2019, 9, 1967 5 of 15 The uptake distribution coefficient is defined as the ratio of the quantity of the adsorbate adsorbed per mass of solid to the amount of the adsorbate remaining in solution at equilibrium and related to the partitioning of a contaminant between the solid and aqueous phases [16]. In this coefficient, the adsorbed species in the adsorbent were divided by their concentration in the aqueous phase, and it was expressed according to the equation shown below [17]:

Screening of Biosorbents
The selected PP wastes (lignin 5.78, cellulose 24.53, and hemicellulose 28.53 g/100 g dry weight [18]) and LM wastes (lignin 1.73, cellulose 12.72, and hemicellulose 6.30 g/100 g dry weight with around 46% w/w of carbon content) are lignocellulosic-rich materials; this fact provides these biosorbents a quite complex structure that contains a wide range of active sites that makes them able to adsorb different pollutants from wastewater [5]. Thus, the adsorption ability of the selected residues was analyzed using a synthetic Cr(VI) solution at a natural pH, around 4.
As can be seen in Figure 1, for both biosorbents Cr(VI) removal levels are higher than Cr adsorption, showing PP waste the best performance in terms of Cr(VI) removal (around 70%) after reaching the equilibrium at 24 h ( Figure S1). These facts can be explained by the "adsorption-coupled reduction" reaction that takes place and is fully recognized as the Cr(VI) adsorption mechanism in natural biosorbents operating at acidic conditions [12]. According to Park et al. [19,20], this Cr(VI) to Cr(III) reduction can happen through two distinct reduction mechanisms (direct and indirect). Miretzky and Cirelli [12] found that a biomaterial with a reduction potential lower than Cr(VI) can reduce Cr(VI) in an aqueous phase due to the contact with electron-donor groups (such as thiol, phenolic, and carboxylic functional groups). In addition, indirect reduction includes 3 stages: (i) binding of anionic Cr(VI) onto the biomaterial positively charged groups (amino and carboxyl groups), (ii) reduction of Cr(VI) by adjacent electron-donor groups to Cr(III) and (iii) release of the generated Cr(III) directly into aqueous phase or complexation with adjacent groups. where qe is the equilibrium contaminant adsorption (mg/g), C0 and Ce are the initial and equilibrium Cr concentrations (mg/L), respectively, V the solution volume (L) and m the biosorbent dosage (g). The uptake distribution coefficient is defined as the ratio of the quantity of the adsorbate adsorbed per mass of solid to the amount of the adsorbate remaining in solution at equilibrium and related to the partitioning of a contaminant between the solid and aqueous phases [16]. In this coefficient, the adsorbed species in the adsorbent were divided by their concentration in the aqueous phase, and it was expressed according to the equation shown below [17]:

Screening of Biosorbents
The selected PP wastes (lignin 5.78, cellulose 24.53, and hemicellulose 28.53 g/100 g dry weight [18]) and LM wastes (lignin 1.73, cellulose 12.72, and hemicellulose 6.30 g/100 g dry weight with around 46% w/w of carbon content) are lignocellulosic-rich materials; this fact provides these biosorbents a quite complex structure that contains a wide range of active sites that makes them able to adsorb different pollutants from wastewater [5]. Thus, the adsorption ability of the selected residues was analyzed using a synthetic Cr(VI) solution at a natural pH, around 4.
As can be seen in Figure 1, for both biosorbents Cr(VI) removal levels are higher than Cr adsorption, showing PP waste the best performance in terms of Cr(VI) removal (around 70%) after reaching the equilibrium at 24 h ( Figure SM1). These facts can be explained by the "adsorptioncoupled reduction" reaction that takes place and is fully recognized as the Cr(VI) adsorption mechanism in natural biosorbents operating at acidic conditions [12]. According to Park et al. [19,20], this Cr(VI) to Cr(III) reduction can happen through two distinct reduction mechanisms (direct and indirect). Miretzky and Cirelli [12] found that a biomaterial with a reduction potential lower than Cr(VI) can reduce Cr(VI) in an aqueous phase due to the contact with electron-donor groups (such as thiol, phenolic, and carboxylic functional groups). In addition, indirect reduction includes 3 stages: (i) binding of anionic Cr(VI) onto the biomaterial positiv Regarding the Cr adsorbed, it is concluded that although the best adsorption capacity was also displayed by the PP waste, the total Cr concentration measured in the supernatant was greater than Cr(VI). This fact corroborates that the elimination of Cr(VI) in PP and LM takes place by both mechanisms, direct and indirect, as previously described by Park et al. [19,20]. Regarding the Cr adsorbed, it is concluded that although the best adsorption capacity was also displayed by the PP waste, the total Cr concentration measured in the supernatant was greater than Cr(VI). This fact corroborates that the elimination of Cr(VI) in PP and LM takes place by both mechanisms, direct and indirect, as previously described by Park et al. [19,20].
Appl. Sci. 2019, 9,1967 6 of 15 The best performance was attained when the adsorption was carried out with PP as a biosorbent with an adsorption uptake of 2.49 mg/g increasing 2.8-fold the values attained for LM. This is also in consonance with the K D values obtained for the biosorbents: 99.20 and 21.19 mL/g for PP and LM, respectively. Therefore, the next assays were carried out using this PP biosorbent.

PP Characterization
Once PP was established as the best biosorbent, a deep physical-chemical characterization of this waste was accomplished.
The morphology and structural aspects were determined by SEM-EDS. Related to the biosorbents composition, EDS analyses determined that the main constituents were C and O (Figure 2a). SEM images confirmed that this biosorbent has a heterogeneous surface with rough areas and micropores (inset Figure 2a) with an average of size ranging from 10 to 200 µm. The chemical structure of the biosorbent was analyzed using FTIR spectroscopy with the purpose of determining the functional groups that exist in the surface of the sorbent (Figure 2c and Table 2). A considerable quantity of oxygen-functional groups (O-H, C=O, C-O) were observed. As it is shown in Table 2, the main functional groups identified into the biosorbents belonged to the polymers cellulose, hemicellulose, and lignin, which are present in the waste. This fact is in accordance with the composition of PP (hemicellulose 28.5%; cellulose 24.5%, lignin 5.8; pectin 1.6%) determined by Pardo et al. [18]. Furthermore, the presence of hydroxyl, amines, and carbonyl functional groups demonstrates that the adsorption and binding of heavy metals could be possible and the process occurs [21].
Appl. Sci. 2019, 9, x FOR PEER REVIEW 6 of 16 The best performance was attained when the adsorption was carried out with PP as a biosorbent with an adsorption uptake of 2.49 mg/g increasing 2.8-fold the values attained for LM. This is also in consonance with the KD values obtained for the biosorbents: 99.20 and 21.19 mL/g for PP and LM, respectively. Therefore, the next assays were carried out using this PP biosorbent.

PP Characterization
Once PP was established as the best biosorbent, a deep physical-chemical characterization of this waste was accomplished.
The morphology and structural aspects were determined by SEM-EDS. Related to the biosorbents composition, EDS analyses determined that the main constituents were C and O ( Figure  2a). SEM images confirmed that this biosorbent has a heterogeneous surface with rough areas and micropores (inset Figure 2a) with an average of size ranging from 10 to 200 µm. The chemical structure of the biosorbent was analyzed using FTIR spectroscopy with the purpose of determining the functional groups that exist in the surface of the sorbent (Figure 2c and Table 2). A considerable quantity of oxygen-functional groups (O-H, C=O, C-O) were observed. As it is shown in Table 2, the main functional groups identified into the biosorbents belonged to the polymers cellulose, hemicellulose, and lignin, which are present in the waste. This fact is in accordance with the composition of PP (hemicellulose 28.5%; cellulose 24.5%, lignin 5.8; pectin 1.6%) determined by Pardo et al. [18]. Furthermore, the presence of hydroxyl, amines, and carbonyl functional groups demonstrates that the adsorption and binding of heavy metals could be possible and the process occurs [21].   Glycosidic linkage cellulose, hemicellulose [22] It is clear that the biosorbent surface charge is a fundamental parameter regarding the disposal of ionic forms. The pH PZC of the biosorbent was around 3.5 and determined the affinity of this biosorbent. Thus, the surface of the biosorbent is positively charged at pH < pH PZC which lead to an electrostatic attraction for Cr(VI) as oxyanion. On the other hand, the charge of the biosorbent surface is negative at pH > pH PZC and this circumstance generates electrostatic repulsion of Cr(VI), however, it favors Cr(III) adsorption. Therefore, pH has proven to be a crucial factor in the adsorption process and ought to be considered to optimize the adsorption process.

Experimental Design
Based on the methodology of design of experiments, a series of experiments were completed according to the three-level Box-Behnken matrix. In this study design, while one of the items was fixed at its center level, combinations of the different levels of the remaining factors were put into practice [23].
Cr removal/adsorption is related to solution pH because pH exerts influence on Cr speciation and also affects active functional groups (-OH, -COOH, -NH 2 ) influencing their dissociation [12]. Moreover, the temperature of the wastewater containing Cr may also vary depending on the industrial procedure and it is a factor to be considered in the efficiency of the process because it has great influence both in the redox reaction and in the adsorption process [24,25].
Accordingly, temperature, pH and biosorbent dosage were selected as independent variables, and Cr(VI) and total Cr removal were established as responses of the 17 runs performed (Table 1). Cr(VI) removal values close to 90% were obtained in runs 4 and 12, when the lowest pH was used and operating at medium and highest values of the biosorbent dosage, as well as temperature. Therefore, it was confirmed the great influence of the initial pH on the Cr(VI) removal. This fact is in agreement with the indirect and direct mechanisms previously described in Section 3.1, since protons participate in the Cr(VI) to Cr(III) redox reaction and at low pH the amino and carboxyl groups turn out to be protonated, increasing the rate of anionic Cr(VI) elimination from aqueous phase [26]. On the other hand, as it is shown in Table 1 the removal of Cr(VI) enhanced with an increase of temperature and biosorbent dosage. It is in concordance with the fact previously reported by Rawajfih and Nsour [27] where the endothermic nature of the Cr(VI) removal procedure was established.
Following the tendency detected in the initial experiments (Section 3.1) the percentages of total Cr removal onto the PP were lower than Cr(VI) removal percentages. The highest adsorptions (around 35%) were obtained in runs 2 and 4, when the highest biomass dosage was used. According to Miretzky and Cirelli [12], this trend indicates a first-order kinetic model adsorption. In addition, the total Cr removal is clearly favored at high temperatures and low pHs (Table 1). These facts corroborate the endothermic essence of adsorption procedure and the great influence of pH in the removal process.
Apart from the selected responses, adsorption capacity and distribution coefficient were calculated to confirm the attained results (Table 1). Similarly to the selected responses, the uptake increased operating at more acidic pH value and reaching the highest value at medium and highest values of temperature. On the other hand, K D presented the highest values operating at the maximum value of temperature. Those results confirm the influence of the selected variables in the performance of the biosorbent.

Box-Behnken Analysis
For each obtained response, Cr(VI) and total Cr removal, the analysis of variance (ANOVA) as well as tests for evaluating the significance of the regression model were performed (Table 3). In the following sections, the details for each response will be discussed.

Cr(VI) Removal
ANOVA analysis is crucial to determine if the model is significant and adequate. It split the total variance of the results into the model inaccuracy and the experimental error, showing if the divergence from the model is significant in comparison with the variation because of residual error [28].
Values of F and p-values were employed to specify the model significance and the magnitude of each coefficient. Thus, the obtained F-value is statistically significant, (typically p-values <0.05), this means that the model made a good approach to forecast the output factor and also, that there is a notable connection linking the set of predictions and the dependent factor indicating that the model has significance. The F-value (66.88) implies the model is significant (p-value <0.0001) ( Table 3). The odds that an F-value this large would occur due to noise are only 0.01%. The significance of each model term was elucidated based on its p-value. According to these values the terms pH (x 1 ), PP dosage (x 2 ), temperature (x 3 ), PP dosage-temperature (x 2 x 3 ), and the square of pH (x 1 2 ) are significant model terms. The high correlation coefficient (R 2 = 0.9885) demonstrated the good connection linking the forecasted and experimental values. In addition, the predicted (Pred R 2 ) and the adjusted (Adj R 2 ) correlation coefficients are in good concordance. Adeq-Precision measures the ratio signal to noise and a ratio higher than 4 is desirable. A ratio of 27.377 was obtained in this model, which evidences the adequacy of the signal. Thus, the model may be applied to navigate the design space. Furthermore, the variation coefficient percentage (CV) was lower than 15% and according to Rossi [29] this value demonstrates exactness and trustworthiness of the performed experiments.
The obtained expression of the selected response, Cr(VI) removal, according to the studied variables coded factors is described in the Equation (6) The Pareto analysis of the resulting RSM model equation (Equation (7)) was performed to study the percentage effect (P i ) of each item on the response [30]. P i is calculated as a function of the equation below: The graph corresponding to the Pareto analysis of the Cr(VI) removal response is presented in Figure 3a. As can be observed in this figure, among the variables, the pH (54.1%) and biosorbent dosage (35.6%) are the most significant variables on the Cr(VI) removal. These outcomes are in accord with those reported by Prabhul et al. [31], where pH and biomass dosage presented the maximum effect in the removal efficiency of Cr(VI) by the marine algae, Sargassum sp. lower than 15% and according to Rossi [29] this value demonstrates exactness and trustworthiness of the performed experiments.
The obtained expression of the selected response, Cr(VI) removal, according to the studied variables coded factors is described in the Equation (6): Cr(VI) removal (%) = 65.20 -8.45 × x1 + 6.85 × x2 +2.68 × x3 -1.03 × x1x2 -1.47 × x1x3 + 1.79 × x2x3 + 8.97 × x1 2 + 1.23 × x3 2 (6) The Pareto analysis of the resulting RSM model equation (Equation (7)) was performed to study the percentage effect (Pi) of each item on the response [30]. Pi is calculated as a function of the equation below: The graph corresponding to the Pareto analysis of the Cr(VI) removal response is presented in Figure 3a. As can be observed in this figure, among the variables, the pH (54.1%) and biosorbent dosage (35.6%) are the most significant variables on the Cr(VI) removal. Th. Response surface plots offer a helpful instrument to forecast the selected responses for several conditions of the assessed variables and determine the potential relationship among these variables. Figure 4a   Response surface plots offer a helpful instrument to forecast the selected responses for several conditions of the assessed variables and determine the potential relationship among these variables. Figure 4a depicts the graphical illustration of the response surface of pH and PP dosage holding the temperature constant at 27.5 • C (central level). As shown, the Cr(VI) removal improves with a pH decrease and an increase of the biosorbent dosage. be applied to navigate the design space. Furthermore, the variation coefficient percentage (CV) was lower than 15% and according to Rossi [29] this value demonstrates exactness and trustworthiness of the performed experiments.
The obtained expression of the selected response, Cr(VI) removal, according to the studied variables coded factors is described in the Equation (6) (6) The Pareto analysis of the resulting RSM model equation (Equation (7)) was performed to study the percentage effect (Pi) of each item on the response [30]. Pi is calculated as a function of the equation below: The graph corresponding to the Pareto analysis of the Cr(VI) removal response is presented in Figure 3a. As can be observed in this figure, among the variables, the pH (54.1%) and biosorbent dosage (35.6%) are the most significant variables on (a) (b) Response surface plots offer a helpful instrument to forecast the selected responses for several conditions of the assessed variables and determine the potential relationship among these variables. Figure 4a depicts the graphical illustration of the resp (a) (b)

Total Cr removal
The tested model for the Cr adsorption was highly significant (Table 3), as evidenced by a really small probability value (p-values <0.0001). For this response, pH (x 1 ), PP dosage (x 2 ), temperature (x 3 ), pH-PP dosage (x 1 x 2 ), pH-temperature (x 1 x 3 ), PP dosage-temperature (x 2 x 3 ) and the square of PP dosage (x 2 2 ) are significant model terms. The correlation coefficient value (R 2 0.9876) was lower than Cr(VI) removal response, however, it is an acceptable value and the Pred R 2 is in good concordance with the Adj R 2 . Similarly to previous section, the expression relating the response, total Cr removal, with the selected variables was obtained (Equation (8)): The total Cr removal response was analyzed by Pareto (Equation (8)) (Figure 3b). This analysis evidences biosorbent dosage (52.7%) has the biggest influence in the total Cr removal, followed by the interaction between PP dosage and temperature. This is in accord with Anupam et al. [32] who found out that adsorbent dosage is the governing factor of the Cr(VI) removal. Figure 4b shows the response surface plot for total Cr removal in the function of temperature and PP dosage keeping pH stable at the central level (3.5). According to the response surface, the total Cr removal grows when the PP dosage and temperature increase. These outcomes confirm that the Cr(VI) removal and the Cr adsorption took place by different mechanisms in the studied biosorbent.

Desirability Function and Validation
The optimization of the obtained responses simultaneously was performed by a desirability function approach. In this approach by their combination in a single objective function, which in essence point out the connection of all responses that are to be optimized by their combination in [33]. The optimum conditions for the desirability function provided by the Design Expert 8.0 software were pH 2.01, PP dosage 1.50 g, and 30.10 • C. The low pH and moderate temperature around 30 • C are in accordance with previous studies where lignocellulosic materials were used for Cr(VI) removal [27,34]. In order to validate these conditions, a new experiment was performed. Under this environment, a 92.39% of Cr(VI) removal and 35.81% of Cr was forecasted. Comparing the experimental results with the predicted ones, an absolute error of 0.18% and 5.2% for Cr(VI) removal and Cr adsorption, respectively and with a distribution coefficient of 19.17 mL/g. Therefore, it can be concluded that the obtained desirability function can be effectively employed in the optimization of the considered procedure.

Characterization of PP after the Adsorption
To know the process of adsorption and the main functional groups implicated in the Cr adsorption, SEM-EDS analyses, and FT-IR spectra were performed to the PP after the adsorption process in the optimized conditions. The SEM image (Figure 2b) shows that the physical appearance of the PP was not modified even working at extreme pH conditions (pH 2) and EDS evidenced the Cr sorption (Figure 2b). The FT-IR peaks (Figure 2c) shifted the wavenumbers because of the biosorbent-functional group interaction. An increase in the bond strength caused the change of the bands to higher frequencies.
On the other hand, the weakening of the bond caused a decrease in the frequencies [35]. The broad and intense band observed in the initial PP sample at 3311 cm −1 displaced to 3345 cm −1 after the absorption of Cr. Similar results were obtained for carboxyl and amine groups. These results imply that these groups might be involved in the adsorption process.

Adsorption in the Optimized Conditions
Finally, the scale-up of the adsorption system was studied through the simulation by using FAST v2.1 software. This software was developed according to the homogeneous surface diffusion model (HSDM) under the following assumptions: (i) one-dimensional plug-flow, (ii) the adsorbent particles behave as a pseudo-homogeneous medium wherein the pollutant diffuses, (iii) external mass-transfer limitation is accounted for, (iv) adsorption equilibrium prevails at the fluid-solid external surface [36].
The usage of this software requires the input of several parameters: (i) operational conditions (working volume, influent concentration, and flow rate), (ii) adsorbent characteristics (bed density, particle density, and diameter), (iii) mass transfer coefficient and equilibrium parameters (Freundlich or Langmuir constants) obtained in the adsorption isotherm assays.
Initially, the experimental determination of the required parameters was performed. Thus, adsorption equilibrium isotherms at optimal conditions (pH 2.01, PP dosage 1.50 g, and 30.05 • C) were evaluated with concentration ranging from 50-500 mg/L of Cr(VI) for 24 h ( Figure 5). The maximum experimental uptake reached (8.8 mg/g) for the Cr adsorption was compared with the maximum uptake those reported in the literature for different adsorbents and shown in Table 4. This value was much the same to that determined by Chen et al. [37] (approximately 10 mg/g) using the by-product of Lentinus edodes and by Elangovan et al. [38] using reed mat as a biosorbent (7.18 mg/g). Notable enhance those reported by Gao et al. [39] (3.15 mg/g) using untreated rice straw. This fact demonstrated the reliability of using this untreated material for the remediation of Cr(VI) that is present in many affluents. behave as a pseudo-homogeneous medium wherein the pollutant diffuses, (iii) external mass-transfer limitation is accounted for, (iv) adsorption equilibrium prevails at the fluid-solid external surface [36]. The usage of this software requires the input of several parameters: (i) operational conditions (working volume, influent concentration, and flow rate), (ii) adsorbent characteristics (bed density, particle density, and diameter), (iii) mass transfer coefficient and equilibrium parameters (Freundlich or Langmuir constants) obtained in the adsorption isotherm assays.
Initially, the experimental determination of the required parameters was performed. Thus, adsorption equilibrium isotherms at optimal conditions (pH 2.01, PP dosage 1.50 g, and 30.05 °C) were evaluated with concentration ranging from 50-500 mg/L of Cr(VI) for 24 h ( Figure 5). The maximum experimental uptake reached (8.8 mg/g) for the Cr adsorption was compared with the maximum uptake those reported in the literature for different adsorbents and shown in Table 4. This value was much the same to that determined by Chen et al. [37] (approximately 10 mg/g) using the by-product of Lentinus edodes and by Elangovan e     [17] Langmuir and Freundlich, two commonly used models, were applied to the experimental data ( Figure 5). The two equations below (Equations (9) and (10)) determine Langmuir and Freundlich models, respectively: q e = k F × C e 1/n (10) where k L (mg/g) and b (L/ mg) are the Langmuir constants which reflect the adsorption capacity and rate of adsorption, respectively, and the Freundlich constants are k F (mg/g)(L/mg) n , the adsorption capacity, and n is the adsorption intensity. According to the correlation coefficient (inset Figure 5), the adsorption of Cr on PP showed good correspondence to Freundlich isotherm. The n constant of the Freundlich isotherm also provided information about the intensity of the adsorption. Widely, it is accepted that values of n between 1-10 and lower than 1 correspond to good and poor adsorption features respectively. In this study, the n value was found to be above 1, indicating that Cr has a great affinity onto PP which is in concordance with the high uptake obtained [34].
After compiling all the input parameters required to run the FAST v2.1 model (Table 5), the simulation of the breakthrough curves of a column of the working volume of 100 L (internal diameter 30 cm) was performed for treating a synthetic solution with a Cr(VI) concentration of 40 mg/L.
The breakthrough curves were simulated at various flow rates and the results are presented in Figure 6a. Comparing these curves, it was demonstrated that the time frame in which the contaminant is totally adsorbed is dependent on the operation time under which no contaminant is detected in the outflow. Therefore, the breakthrough curves obtained with the simulation proved the feasibility of the scale up.  Based on these curves, valuable information can be predicted like the exhaustion bed time. In Figure 6b, the exhaustion bed time, in which concentration attained in the outflow was 90% of its initial value, is represented versus the flow rate. As depicted the power function fitted well the obtained data. Thus, this new function can be used for predicting the behavior of the simulated Based on these curves, valuable information can be predicted like the exhaustion bed time. In Figure 6b, the exhaustion bed time, in which concentration attained in the outflow was 90% of its initial value, is represented versus the flow rate. As depicted the power function fitted well the obtained data. Thus, this new function can be used for predicting the behavior of the simulated column adsorption.

Conclusions
In the present study, two different raw wastes were evaluated as feasible biosorbents for Cr(VI) elimination and Cr adsorption. PP showed the utmost adsorption capacity and RSM based on the Box-Behnken experimental design was employed to optimize the procedure. Numerical optimization applying the desirability function determined that the optimal conditions were: initial solution pH 2.01, biosorbent dosage 1.50 g, and temperature 30.10 • C. Finally, the scale-up of this process was demonstrated by simulation using FAST v2.1 for a flow system operating in a column of 100 L and the exhaustion bed times were determined as a function of the flow rate.