The adsorption of benzotriazole (BTA) by chemically modified magnetic biochar (MMBC) as a cheap and abundant biosorbent was investigated and optimized using response surface methodology (RSM). Initially, the MMBC composite was synthesized and characterized by scanning electron microscopy (SEM) energy dispersive X-ray spectroscopy (EDX), Fourier transform infrared spectroscopy (FTIR), Raman spectroscopy, and Brunauer–Emmett–Teller (BET) techniques. The characterization results confirmed the existence of Fe3O4 in the composite structure, which had uniformly dispersed over biochar (BC) with porous texture. Moreover, the presence of Zn and Cl elements in EDX analysis indicated that the magnetic biochar (MBC) had been modified successfully. The effects of chemical modification methods on the adsorption capacity of magnetic biochar were investigated. Maximum BTA removal efficiency was demonstrated by MMBC, modifying using ZnCl2 (>99%). Optimization was carried out based on reaction time, BTA concentration and the concentration of adsorbent. Optimum experimental conditions for the removal of BTA from aqueous solutions were found to be 35 min of reaction time, 0.55 g/L of adsorbent, and 50 mg/L of initial BTA concentration. At these optimal conditions, the predicted BTA adsorption efficiency was 92.6%. The adsorption process followed the Avrami fractional-order reaction kinetic and the Langmuir adsorption isotherm with the maximum adsorption capacity of 563.1 mg/g. The values of thermodynamic parameters demonstrated that the adsorption of BTA on ZnCl2-MBC is endothermic and spontaneous. Under optimum usage of MMBC, the adsorptive removal efficiency of BTA non-significantly decreased from 99.2 to 93.9% after the 5th cycle. Thus, MMBC can be recommended as an environmentally friendly and cost-effective adsorbent to remove micropollutants from water.

  • Among all chemical modification methods, ZnCl2 showed the maximum adsorptive removal of BTA (>99%).

  • At optimum experimental conditions for the removal of BTA, adsorption efficiency was calculated 92.6%.

  • The adsorption process followed the Avrami fractional-order reaction kinetic and the Langmuir adsorption isotherm with the maximum adsorption capacity of 563.1 mg/g.

Graphical Abstract

Graphical Abstract
Graphical Abstract

Benzotriazole (BTAs) is a polar conditioning chemical (CCs) that possesses a low log Kow value of 1.23, which it presents in sediments and soil, surface water, and groundwater. BTA is commonly applied as a corrosion inhibitor in engine coolants, anti-freeze liquids, detergent additives, aircraft de-icing and anti-icing substances, hydraulic fluids, and a stabilizer for bronze commodities (Janna et al. 2011; Li et al. 2012; Mezzi et al. 2012; Grillo et al. 2013). However, it is classified as an emerging pollutant, and it is known to be toxic to vertebrates (LC50 of 102 mg/L for water fleas Ceriodaphnia dubia); also, it has adverse effects such as anti-estrogenic and carcinogenesis effects (Harris et al. 2007; Pritchard et al. 2018; Richardson & Ternes 2018). BTA and its derivatives are regularly discharged in municipal/industry wastewater, resulting in high natural surface/groundwaters (Xu et al. 2014). They are often contaminated with BTA due to their high solubility in water, limited removal efficiency, and extensive applications (Giger et al. 2006). Nonetheless, limited information is available about the possible release of BTA into the environment, particularly in water resources (Richardson & Ternes 2018).

BTA removal is limited and challenging in wastewater treatment plants due to its non-biodegradability and resistance to disintegration (Rhodes-Dicker & Passeport 2019). Therefore, diverse methods including oxidation processes (Mawhinney et al. 2012), membrane bioreactors (Weiss & Reemtsma 2008), photoelectrocatalytic degradation (Ding et al. 2010), and adsorption (Xu et al. 2014) have been employed for the removal of BTA from aqueous solutions. However, the application of these technologies is limited by some factors such as low efficiency, detrimental byproducts, and high operation costs (Bernal-Martínez et al. 2013).

Among different BTA removal systems, adsorption is an efficient and low-cost process. To date, a number of adsorbents, such as carbonaceous materials (Bonvin et al. 2016), zeolites (Wang et al. 2017), and metal oxides have been used aiming at BTA adsorption from aqueous solutions (Sarker et al. 2017); however one of the most important aspects related to water and wastewater treatment is finding cost-effective adsorbents. Recently, the utilization of cheap carbon adsorbents (Biochar) from waste products and low-cost compounds has been prevalent (Dai et al. 2019). Biochar is a carbon-rich solid characterized by porous structure, large surface functional groups, and mineral components, making it a proper adsorbent for removing pollutants from aqueous solutions (Dai et al. 2019). Nonetheless, bare biochar has a low adsorptive capacity to adsorb contaminants in water and sewage treatment. Moreover, powdered adsorbents are tenacious to separate from effluents after adsorption. Separation via filtration and centrifugation methods may not completely isolate the adsorbent from the effluent; therefore, magnetized biochar has been considered a suitable solution to tackle this challenging problem (Khan et al. 2020). On the other hand, adsorption processes are mainly affected by various operational factors, including contact time, adsorbent dosage, initial concentration of contaminant, etc.; it is beneficial to utilize appropriate experimental methods. These mathematical and statistical methods can create a systematic path that permits the final goal (removal efficiency) to be based on influential parameters, which are the most dominant in the response factor, by the at least possible number of experiments for decline process expenditure and required time to developing of process installation (Haghighi et al. 2019). Response surface methodology (RSM) is one of the effective multivariate experimental design methods. This approach comprises several mathematical and statistical techniques that are employed to develop, improve and optimize various processes and analyze the relative significance of each operational condition even in the presence of a complex network of interactions (Najafpoor et al. 2019).

Several studies have employed modified magnetic biochar (MMBC) for the adsorption of a wide range of pollutants such as nitrate and phosphate (Yin et al. 2018), tetracycline (Zhou et al. 2019), methylene blue (Liu et al. 2019), 2,4-dichlorophynoxyacetic acid (Zhu et al. 2018), cadmium adsorption (Cui et al. 2019), and Remazol Brilliant Orange (Gokulan et al. 2019). However, to the best of our knowledge, few studies have focused on optimizing the BTA adsorption process using MMBC, modified with different modifiers and their efficiency compared with each other and its regeneration. In the present research, a porous MBC adsorbent was synthesized and characterized using various techniques (Najafpoor et al. 2019). The composite was modified with multiple chemicals, and then the best-modified composite was chosen for main experiments. The RSM based on central composite design (CCD) was adopted for modeling, analyzing, and optimizing the BTA removal process by MMBC as a function of three independent variables (reaction time (min), adsorbent dosage (g/L), and initial BTA concentration (mg/L)). The importance of each independent variable on the variation of the output response (BTA removal efficiency (%)) was also determined. Moreover, isotherm, kinetic, thermodynamic studies were conducted. Finally, MMBC adsorbent reusability study via different regenerators was investigated in detail.

Chemicals

BTA with the formula C6H5N3 (Table 1), sodium hydroxide (NaOH), condensed sulfuric acid H2SO4, ZnCl2, sodium dodecyl sulfate (SDS), and per acetic acid (PAA) were purchased from Merck Co. (Germany). All chemicals were of analytical grade. Ultrapure water was used for preparing solutions.

Table 1

The characteristics of BTA

ItemDescription
Formula C6H5N3 
Synonym 1,2,3-Benzotriazole & 1H-Benzotriazole 
Structure  
Molecular weight 119.12 
pH 6.0–7.0 at 100 g/l at 20 °C – (aqueous suspension) 
Partition coefficient: n-octanol/water log Pow: 1.44 
LD50 Oral – Rat 500 mg/kg 
LD50 Dermal – Rat >1,000 mg/kg 
apKa 1.6, 8.6 
ItemDescription
Formula C6H5N3 
Synonym 1,2,3-Benzotriazole & 1H-Benzotriazole 
Structure  
Molecular weight 119.12 
pH 6.0–7.0 at 100 g/l at 20 °C – (aqueous suspension) 
Partition coefficient: n-octanol/water log Pow: 1.44 
LD50 Oral – Rat 500 mg/kg 
LD50 Dermal – Rat >1,000 mg/kg 
apKa 1.6, 8.6 

apKa1 and pKa2 for protonated and neutral BTA are 1.6 and 8.6, respectively.

Preparation and modification of adsorbents

For biochar synthesis, Oakwood residues were rinsed, dried at 105 °C for 24 hours, crushed, and sieved (5-mm) to remove big lumps; then, it was stored in a sealed container an incubator for the experiment. Next, the biomass powder was heated from room temperature to 700 °C with a heating rate of 5 °C/min. The pyrolysis process was performed using a tube furnace with continuous nitrogen gas purging at 30 ml/min and the heating rate was constant at 15 °C/min. For promoting the functional group on biochar surface, the achieved biochar (2.5 g) was reacted with ZnCl2 solution (the weight ratio of 2:1) at 100 °C for 2 h. Then, the reaction mixture was added to deionized water (100 mL), and precipitates were separated by filtration. The excess ZnCl2 was washed by applying dilute hydrogen chloride. Subsequently, carbon was repeatedly washed to eliminate excess ZnCl2, and was then dried at 60 °C for 12 h. Modification of BC with other chemicals obeys such a mentioned process and weight ratio.

An aqueous solution of NH3 (15 mL, 25%) was added dropwise with powerful stirring under nitrogen flow for 1.5 h to a mixture of MBC (2.0 g), FeCl3.6H2O (2.7 g), FeCl2.4H2O (2.5 g), and deionized water (60 mL). Next, the black solid was gathered by an external magnet, washed with distilled water (three times), and dried at 60 °C for 5 h. The obtained ZnCl2/MBC was utilized for the BTA adsorption process.

Batch adsorption studies

The adsorption experiments for BTA removal were conducted in a batch system at room temperature. The 0.1M NaOH and 0.1M H2SO4 solutions were applied to adjust the pH of BTA solutions. pH: 2–10, adsorbent size <105–1,000 μm, ZnCl2 concentration: 5–200 g/L, retention time: 0–60 min, adsorbent dosage: 0.1–1 g/L, and BTA concentration: 10–90 mg/L were used as variables in this study. The batch experiments were performed in a 500 mL glass vessel, with 100 mL of BTA being used at different initial concentrations (10, 30, 50, 70 and 90 mg/L). Samples were collected at the determined times and immediately filtered by 0.45 μm cellulose acetate membranes to separate the adsorbent from the supernatant. The concentrations of the remaining BTA were measured by UV spectrometric (UV-1800, Shimadzu, Japan). The UV absorbance 259 nm was applied to calculate the BTA concentration. The removal efficiency of BTA (% R) and the adsorption capacity of the adsorbent were calculated using Equations (1) and (2), respectively:
(1)
(2)
where Co and Ce are the initial and residual BTA concentrations (mg/L), respectively, qe is the BTA adsorption capacity (mg/g), V is the volume of BTA solution (L), and m is the mass of the adsorbent (g). All experiments were performed in triplicate, and the average data were reported.

Response surface methodology

Experimental design

The influence of the selected variables (reaction time, adsorbent concentration, and initial BTA concentration) on the adsorptive removal of BTA was evaluated. To this end, a CCD with three experimental factors and three levels was employed to reach the optimum experimental conditions for BTA removal and monitor the impact of each parameter and the parameters’ interaction effects. In this pattern, the total number of experiments consisting of 18, 6, and 8 experiments in central, axial, and factorial points, respectively, were determined using Equation (3):
(3)
where N denotes the total number of experiments, k represents the number of experimental variables, and 2k, 2 k, and Co are the factorial, axial, and central points, respectively.
The second-order polynomial model for the prediction of the relationship between experimental and predicted values is expressed as follows (Equation (4)):
(4)
In which y is the response, bo is the constant term, bi is the coefficient of the linear effect, bij represents the coefficient of the interaction effects of variables, and ε is the residual term.
For enhancing the simplicity of statistical calculations, Equation (5) was employed to code each variable level as xi (Sarangi et al. 2018).
(5)
where Xo demonstrates the value of Xi at the center point, and ΔXi is the step change. Table 2 represents the ranges and actual values of the applied parameters. Based on the preliminary experiments, the pH of 7.0 was considered the optimum pH of the solution in all experiments.
Table 2

Coded and actual values of the experimental variables

Independent variablesLimits and levels
− 2− 10+ 1+ 2
Contact time (min) (XT20 35 50 65 
Adsorbent dose (mg/L) (XD0.05 0.3 0.55 0.80 1.05 
Initial BTA concentration (mg/L) (XCo10 30 50 70 90 
Independent variablesLimits and levels
− 2− 10+ 1+ 2
Contact time (min) (XT20 35 50 65 
Adsorbent dose (mg/L) (XD0.05 0.3 0.55 0.80 1.05 
Initial BTA concentration (mg/L) (XCo10 30 50 70 90 

Estimation of the applied model

For evaluation of the second-order polynomial model reliability, normal plots, residual examination, and ANOVA were performed. In addition, adjusted R-square and F-test were applied to check the quality and statistical significance of the model, respectively. The F-test and Student's T-test were used to test the importance of the model at a 95% confidence level. Furthermore, the residuals (the differences between experimental and predicted values) were analyzed through residual and normal probability plots to examine the constant variance of errors; also normal distribution was assessed to detect possible systematic departures from the assumption.

Pareto calculations were performed to examine the effect of each parameter and their interaction effects on the response parameters based on Equation (6) (Abdessalem et al. 2008):
(6)

This study used the Design-Expert (version 8.0.0) software package to design experiments, model-fitting, and data analysis.

Adsorption isotherm and kinetic models

Concerning the adsorptive remediation of water and wastewater containing contaminants, it is essential to know the removal rate for the design and the quantitative evaluation of the adsorbent. In addition, kinetics describes the adsorbate uptake rate, which controls the residence time of the adsorbate uptake at the adsorbent–solution interface. Therefore, it is vital for prediction of the BTA uptake removal rate from aqueous solutions in order to design an appropriate adsorption unit.

The BTA adsorption data were fitted to the non-linear kinetic and isotherm models using MATLAB® 7.11.0 (R2015b), with subsequent interactions calculated by the Levenberg–Marquardt algorithm. Since the unwanted falsification of error distribution occurs due to data transformation to a linear form, the non-linear method is superior to the linear one in determining the parameters of the isotherm and kinetic models. In this study, five widely used adsorption isotherm models (Langmuir, Freundlich, Redlich–Peterson, Temkin, and Liu) and five general adsorption kinetic models (pseudo-first-order equation of Lagergren, pseudo-second-order equation of Ho, Elovich, Avrami fractional order, and the intraparticle diffusion model) were used to describe the adsorption equilibrium and the adsorption kinetics of BTA onto MMBC, respectively (Vilardi et al. 2018; Zhang et al. 2018; Jeon 2019; Rezakazemi & Shirazian 2019; Syafiuddin et al. 2019). All these mathematical isotherms and kinetic models are summarized in Supplementary Table 1.

It is essential to evaluate their validity to select the most suitable kinetic and isotherm model. Here, the validity of the kinetic and isotherm models at different temperatures (283, 298, and 313 K) was assessed by criteria such as the determination coefficient (R2), the adjusted determination coefficient (R2adj), the sum squared error (SSE), and the root mean square error (RMSE) (Rangabhashiyam et al. 2014; Suganya 2019). These criteria describe the goodness of fit between the experimental and predicted data. The best model was chosen based on the lowest RMSE, SSE, and R2adj and R2 as close as possible to 1. R2, R2adj, SSE, and RMSE were calculated according to Supplementary Table 2.

Reusability study of MMBC

To evaluate the possibility of MMBC regeneration and reuse, methanol, as a desorbing solution, was utilized to extract the BTA adsorbed on MMBC. The reusability of the adsorbents was determined using five adsorption–regeneration cycles. A sample of 1.0 g of MMBC was shaken with 1 L solution of 50 mg/L BTA for 1 h at 25 ± 1 °C and pH = 7.0. The BTA-loaded MMBC was magnetically collected, washed, and shaken at 200 rpm for 24 h with 10 mL of desorbing solutions methanol at 25 ± 1 °C. After desorption, regenerated adsorbents were dried in an oven at 80.0 °C for 100 min and used for the next adsorption-regeneration cycle.

MMBC characterization

Table 3 represents some physicochemical characteristics of the adsorbent. The elemental analysis demonstrated that C (49%) is the dominant element in the composite structure; also, the presence of O (18.43%) and Fe (9.42%) indicated that the magnetization agent had been loaded correctly on biochar. Moreover, results confirmed the existence of Zn (9.07%) and Cl (13.85%) as a modifier in the MMBC structure. The specific surface area of MMBC (383.5 g/m2) was determined by BET analysis; this high value can be attributed to the increased surface area of loaded iron oxide nanoparticle and modification by ZnCl2, which is beneficial to the increasing adsorption capacity of biochar in BTA adsorption; whereas, the specific surface areas for BC and MBC were 210 and 297 g/m2, respectively. Moreover, the morphology of the samples was examined with an FEI Quanta 400 FEG scanning electron microscope (SEM), and the SEM image of MMBC is illustrated in Figure 1(a) and 1(b). Based on Figure 1(a), it is evident that the BC surface was relatively smooth and had a porous structure, without significant development on its surface. However, based on the SEM images (Figure 1(b)), the produced modified biochar had a relatively rough, much more porous structure than BC.

Table 3

The physicochemical characteristics of MMBC

ParametersValues
Moisture content (%) 1.65 ± 0.4 
Water-soluble compounds (%) 1.0 ± 0.2 
Insoluble compounds (%) 97.35 ± 0.4 
Volatile fraction (%) 67.7 ± 1.4 
Ash content (%) 32.3 ± 1.3 
Elemental analysis (%) 
49.2 
18.43 
Zn 9.07 
Fe 9.42 
Cl 13.85 
pHZPC 5.0 ± 0.2 
Bulk density (kg/m3858 
Particle size (μm) <105 
BET surface area (m2/g) 383.5 
ParametersValues
Moisture content (%) 1.65 ± 0.4 
Water-soluble compounds (%) 1.0 ± 0.2 
Insoluble compounds (%) 97.35 ± 0.4 
Volatile fraction (%) 67.7 ± 1.4 
Ash content (%) 32.3 ± 1.3 
Elemental analysis (%) 
49.2 
18.43 
Zn 9.07 
Fe 9.42 
Cl 13.85 
pHZPC 5.0 ± 0.2 
Bulk density (kg/m3858 
Particle size (μm) <105 
BET surface area (m2/g) 383.5 
Figure 1

SEM images of adsorbent: (a) before modification (b) after modification, (c) EDX spectra of adsorbent (d) Raman spectroscopy of adsorbent, FTIR of adsorbent: (e) before reaction with BTA, (f) after reaction with BTA.

Figure 1

SEM images of adsorbent: (a) before modification (b) after modification, (c) EDX spectra of adsorbent (d) Raman spectroscopy of adsorbent, FTIR of adsorbent: (e) before reaction with BTA, (f) after reaction with BTA.

Close modal

Moreover, Fe3O4 nanoparticles tended to aggregate on the BC surface, and a vigorous aggregation is evident after magnetization. This phenomenon can create a rough and uneven surface followed by increased adsorption sites for BTA adsorption. It is worth noting that the white parts in the SEM may be attributed to the zinc salt residues. It seems that the cavities on the surface of biochar resulted from the ZnCl2 evaporation during carbonization, leaving the space previously occupied by zinc chloride. The pore-forming effect of ZnCl2 decomposition during heat treatment could promote the organic compound breakage in the precursor of BC (Oakwood residues) residues and gradually recombine the solid matrix to form an extended porous structure, which could accelerate the reaction rate, raise the surface area, and provide more active sites for the adsorption of BTA (Yan et al. 2020). Energy dispersive X-ray (EDX) analysis, including spectrum and elemental composition (Figure 3), illustrating BC/Fe3O4 nanocomposite contains peaks responding to the C, Fe, O, Cl, and Zn atoms. The peaks of Fe (9.42%) and O (18.43%) are related to Fe3O4, while the C (49.23%) atom is associated with BC. In addition, Cl (13.85%) and Zn (9.07%) confirmed the modification of MBC by ZnCl2.

Raman spectroscopy (PerkinElmer Raman Station 400F dispersive Raman micro-spectrometer with a CCD detector) was applied to investigate the chemical functionality and mineralogy of biochar. Raman was conducted at the wavelength of 500–300 cm−1 (Figure 1(d)). The highest peak was observed at 1,596 cm−1 and 1,325 cm−1. The peaks at 799 and 1,017 cm−1 were assigned as a D-band, as well as the peaks at 1,332 cm−1 and 1,586 cm−1 are related to G-band peaks in the Raman spectra. Different biomass-derived biochar has typical characters associated with the structural disordered aromatic ring in sp2 carbon atoms or sample defective graphite structure (D-band), in contrast, G-band presents completeness of the degree of sp2 carbon atoms with less defective graphene structures (Liu et al. 2021). Additionally, Fourier transform infrared (FTIR) spectra of the MMBC before and after reaction with BTA are illustrated in Figure 1(e) and 1(f). The FTIR spectra of biochar were recorded in 4,000–500 cm−1. The peak at 3,569 cm−1 is a firm indicator of the OH phenol functional group onto the surfaces of the adsorbent. The two sharp peaks at 1,402 cm−1 and 1,617 cm−1 are related to the amine functional group and the symmetric bending of CH3, respectively. Based on Figure 1, among the surface functional groups, –OH groups, secondary amine group, C = O stretching of ether group, aliphatic C–H group, C–N stretch of aliphatic amines, and symmetric bending of CH3 had a considerable influence on the adsorption of BTA.

The effect of main parameters on BTA removal by MMBC

The effects of various parameters (modifier types, biochar size, ZnCl2 concentration, and aqueous solution pH) on BTA removal by prepared composite are presented in Figure 2(a)–2(d). The obtained results from the evaluation of several modifier efficiencies showed that ZnCl2 had the highest performance in BC modifying for BTA adsorption. Chemical activation by ZnCl2 presumably provides much more porous and higher surface area in activated carbons, thereby providing a high adsorption capacity. The reaction between carbon atoms and ZnCl2 (dehydrating agent) promotes carbonaceous materials’ decomposition in the extended carbon interlayers (Şahin et al. 2015). The use of ZnCl2 in chemical activation improves the carbon content through the aromatic graphitic structure formation. The obtained results are consistent with findings in similar studies (Xia et al. 2016). As shown in Figure 2(b), MMBC particle size plays a vital role in BTA adsorption. As with decreasing the ZnCl2-MBC size, the BTA removal increases, maximum BTA removal was attained at the size of <150 μm. Reducing adsorbent particle size increases specific surface area, followed by the surface energy and enhanced BTA removal efficiency. In addition, this trend is also related to the adsorbent surface area and the BTA diffusion rate. Generally, assuming that the adsorption rate depends only on the surface area (the surface area of the smaller particle is high); hence, the dispersion way is shortened in the small adsorbent particle, and it provides a better opportunity to make the adsorbed BTA penetrate all internal pore structure. Similar results have been reported previously (Liu et al. 2021).

Figure 2

The effect of (a) modifier types, (b) biochar size, (c) ZnCl2 concentration and (d) pH on BTA removal by MMBC.

Figure 2

The effect of (a) modifier types, (b) biochar size, (c) ZnCl2 concentration and (d) pH on BTA removal by MMBC.

Close modal
Figure 3

(a) Normal probability plots for residual and (b) residuals versus predicted values.

Figure 3

(a) Normal probability plots for residual and (b) residuals versus predicted values.

Close modal

In addition, increasing the ZnCl2 concentration from 5 to 100 g/L produced BTA removal percentage growth from 76 to 94%, but it remained constant after increasing the concentration up to 200 g/L. This was possible because increase in ZnCl2 concentration reaction may cause a part of the micro-pore structure to be destroyed due to the pores collapsing (Şahin et al. 2015). A similar study was conducted by Şahin et al. (2015). According to Figure 2(d), the highest BTA adsorption efficiency was obtained at neutral pH 7–8. pH played a significant role in the organics’ adsorption from aqueous solutions because of the protonation/deprotonation of adsorbates and the alteration in the surface charge of adsorbents by pH changes (Sarker et al. 2017). BTA is a heterocyclic aromatic compound; therefore, π–π interactions between the aromatic ring of BTA and adsorbent might be possible. The hydrophobic and π–π interactions are not highly dependent on pH. The declined adsorption of BTA with increasing pH might be explained by a partial contribution of electro-static repulsions between the negative surface charge of adsorbent and the negative charge of the deprotonated BTA. Similarly, the decrease of qt at an acidic pH might be because of repulsion between the positive adsorbent and positive or protonated BTA (Sarker et al. 2017).

RSM model analysis

The regression coefficients and the efficiency of BTA adsorption are described using the quadratic model as follows:
(7)

Subjected to −2 Xi + 2

The experimental and predicted values of BTA removal at various experimental conditions are illustrated in Table 4. The highest removal percentage was >99.9% in the 1st, 10th, 15th, 26th and 29th runs. Moreover, the results of ANOVA (Table 5) approved the ability of the employed model to design the optimization experiments. The relationship between predicted values of BTA adsorption efficiency against the experimental ones was also evaluated. Logically, since the coefficient of determination (R2) is close to 1, the compatibility of the applied model is apparent. In addition, the high R2 (0.987) confirms the robust correlation between the experimental and predicted data of BTA removal efficiency. It can be postulated that the model mentioned above could not predict only 1.13% of data. If the F-value of the model is more remarkable than tabulated F for a specific domain of degree of freedom, the proposed model is quite valid. As can be seen from Table 5, the F-value of the model (298.51), which is the proportion of model mean square and residual error, is higher than the tabulated F-value that approves the statistical significance of the model. F-value for Lack of Fit was 22.08 (significant at <0.0001).

Table 4

Experimental design for the adsorption of BTA together with experimental and predicted response values

Run numberReaction time (min)Adsorbent concentration (g/L)Initial BTA concentration (mg/L)BTA removal (%)
ExperimentalPredictedResidual
50 0.8 30 99.5 101.5 1.98 
35 0.55 50 92.6 92.6 0.04 
50 0.3 70 72.9 71.6 1.28 
50 0.3 30 85.7 86.1 0.45 
0.55 50 83.0 83.1 0.07 
35 1.05 50 92.1 90.4 1.69 
50 0.8 70 85.3 86.9 1.56 
65 0.55 50 93.5 92.7 0.75 
35 1.05 50 92.5 90.4 2.09 
10 35 0.55 10 99.9 98.5 1.36 
11 35 0.55 50 92.4 92.6 0.24 
12 20 0.3 30 79.3 78.5 0.84 
13 50 0.3 70 71.8 71.6 0.21 
14 20 0.8 30 98.1 99.9 1.77 
15 50 0.8 30 99.3 101.5 2.18 
16 35 0.55 50 93.0 92.6 0.36 
17 20 0.3 30 78.5 78.5 0.04 
18 0.55 50 81.9 83.1 1.17 
19 20 0.3 70 64.7 63.5 1.20 
20 35 0.55 90 68.7 69.0 0.29 
21 20 0.8 70 85.2 84.8 0.36 
22 35 0.05 50 52.1 53.7 1.61 
23 65 0.55 50 94.0 92.7 1.25 
24 20 0.3 70 65.7 63.5 2.20 
25 20 0.8 70 84.2 84.8 0.64 
26 35 0.55 10 99.8 98.5 1.26 
27 50 0.8 70 86.8 86.9 0.06 
28 35 0.55 50 93.3 92.6 0.66 
29 20 0.8 30 99.4 99.9 0.47 
30 35 0.05 50 52.3 53.7 1.41 
31 50 0.3 30 86.1 86.1 0.02 
32 35 0.55 90 67.4 69.0 1.57 
Run numberReaction time (min)Adsorbent concentration (g/L)Initial BTA concentration (mg/L)BTA removal (%)
ExperimentalPredictedResidual
50 0.8 30 99.5 101.5 1.98 
35 0.55 50 92.6 92.6 0.04 
50 0.3 70 72.9 71.6 1.28 
50 0.3 30 85.7 86.1 0.45 
0.55 50 83.0 83.1 0.07 
35 1.05 50 92.1 90.4 1.69 
50 0.8 70 85.3 86.9 1.56 
65 0.55 50 93.5 92.7 0.75 
35 1.05 50 92.5 90.4 2.09 
10 35 0.55 10 99.9 98.5 1.36 
11 35 0.55 50 92.4 92.6 0.24 
12 20 0.3 30 79.3 78.5 0.84 
13 50 0.3 70 71.8 71.6 0.21 
14 20 0.8 30 98.1 99.9 1.77 
15 50 0.8 30 99.3 101.5 2.18 
16 35 0.55 50 93.0 92.6 0.36 
17 20 0.3 30 78.5 78.5 0.04 
18 0.55 50 81.9 83.1 1.17 
19 20 0.3 70 64.7 63.5 1.20 
20 35 0.55 90 68.7 69.0 0.29 
21 20 0.8 70 85.2 84.8 0.36 
22 35 0.05 50 52.1 53.7 1.61 
23 65 0.55 50 94.0 92.7 1.25 
24 20 0.3 70 65.7 63.5 2.20 
25 20 0.8 70 84.2 84.8 0.64 
26 35 0.55 10 99.8 98.5 1.26 
27 50 0.8 70 86.8 86.9 0.06 
28 35 0.55 50 93.3 92.6 0.66 
29 20 0.8 30 99.4 99.9 0.47 
30 35 0.05 50 52.3 53.7 1.41 
31 50 0.3 30 86.1 86.1 0.02 
32 35 0.55 90 67.4 69.0 1.57 
Table 5

ANOVA for the adequacy of the quadratic model

Source of variationSum of squaresDegree of freedomMean squareF-valuep-value
Model 5597.01 621.89 298.51 <0.0001 
XT 187.26 10 187.26 89.88 <0.0001 
XD 2693.61 2693.61 1292.93 <0.0001 
XCo 1749.55 1749.55 839.78 <0.0001 
XT.XD 36.63 36.63 17.58 0.0004 
XT.XCo 0.18 0.18 0.084 0.7743 
XD.XCo 0.005 0.005 0.0023 0.9623 
X2T 44.65 44.65 21.43 0.0001 
X2D 846.66 846.66 406.40 <0.0001 
X2Co 157.93 157.93 75.80 <0.0001 
Residual 45.83 22 2.08   
Lack of Fit 39.72 7.94 22.08 <0.0001 
Pure error 6.12 17 0.36   
Cor Total 5642.84 31    
Source of variationSum of squaresDegree of freedomMean squareF-valuep-value
Model 5597.01 621.89 298.51 <0.0001 
XT 187.26 10 187.26 89.88 <0.0001 
XD 2693.61 2693.61 1292.93 <0.0001 
XCo 1749.55 1749.55 839.78 <0.0001 
XT.XD 36.63 36.63 17.58 0.0004 
XT.XCo 0.18 0.18 0.084 0.7743 
XD.XCo 0.005 0.005 0.0023 0.9623 
X2T 44.65 44.65 21.43 0.0001 
X2D 846.66 846.66 406.40 <0.0001 
X2Co 157.93 157.93 75.80 <0.0001 
Residual 45.83 22 2.08   
Lack of Fit 39.72 7.94 22.08 <0.0001 
Pure error 6.12 17 0.36   
Cor Total 5642.84 31    

R2 = 0.9919, Adj − R2 = 0.9886, C.V. % = 1.72, Predicted − R2 = 0.9821, Adeq Precision = 59.198.

The ‘Predicted − R2’ of 0.9821 is in reasonable agreement with the ‘Adj − R2’ of 0.9886.

The normal probability plot of the data is shown in Figure 3(a). The apparent trend in the mentioned graph apparently has a normal distribution form which resembles a straight line. The plot of residuals versus predicted values (Figure 3(b)) revealed a randomized scattering trend in the adjacency of the centerline.

The influence of variables

The surface and contour plots as a promising method were drawn to illustrate BTA adsorption onto the MMBC surfaces at different chosen experimental variables. In Figure 4, the adsorption efficiency of BTA as a function of the combined effects of adsorbent dosage and reaction time is shown. Based on Figure 4, an intensive increase in BTA adsorption occurred by increasing the reaction time from 2 to 60 min. It can be concluded that at the beginning of the experiment, due to the abundance of reactive sites, a large amount of BTA can be adsorbed, while the tendency of the adsorbent to sorb the adsorbate eventually declined due to saturation of the reactive sites. Additionally, the formation of insoluble silicates on the MMBC prevented the BTA from entering the internal sorption layer. The intraparticle diffusion in this phase may also be corresponding to a slower adsorption rate. A similar trend was observed previously in another work (Gwenzi et al. 2018; Zhu et al. 2020).

Figure 4

The surface and contour plots of interaction effects of adsorbent dosage and reaction time on BTA removal efficiency.

Figure 4

The surface and contour plots of interaction effects of adsorbent dosage and reaction time on BTA removal efficiency.

Close modal

The interaction effects of reaction time and initial BTA concentration on the adsorption efficiency of BTA are depicted in Figure 5. According to Figure 5, at the constant MMBC concentration, increasing initial BTA concentration caused a significant decrease in the BTA adsorptive removal. The high concentration of BTA provides a thick layer of it onto the surfaces of modified biochar which certainly prevented BTA adsorption by the adsorbent (Srivastava et al. 2006). This trend can be explained by binding all BTA molecules with a composite surface at low concentration, while at high concentration, the available adsorption positions are reduced with build-up of BTA molecules on the surface of MMBC; this prevents the diffusion of more BTA molecules into the adsorbent pores. The low diffusion rate is related to pores, which are similar to the diffusing molecules. This phenomenon has previously been reported in the literature (Hameed et al. 2008).

Figure 5

The surface and contour plots of interaction effects of reaction time and initial BTA concentration on BTA removal efficiency.

Figure 5

The surface and contour plots of interaction effects of reaction time and initial BTA concentration on BTA removal efficiency.

Close modal

The interaction effect of adsorbent dose and initial BTA concentration at a constant reaction time on BTA adsorption was also examined, and the results are given in Figure 6. By increasing the adsorbent dosage from 0.1 to 1 g/L, the adsorption efficiency increased from 35.5% to 94.4%. The most probable proof of our observation can be attributed to the increased effective specific surface area or exchangeable sites, followed by raising free active sites for adsorbate removal, which results in more interactions between BTA and adsorbent (Oliveira et al. 2008; Tan et al. 2015; Pourzamani et al. 2017; Dai et al. 2019).

Figure 6

The surface and contour plots of interaction effects of adsorbent dosage and initial BTA concentration on BTA removal efficiency.

Figure 6

The surface and contour plots of interaction effects of adsorbent dosage and initial BTA concentration on BTA removal efficiency.

Close modal
Figure 7

The model validation graph (a) internal validation and (b) external validation.

Figure 7

The model validation graph (a) internal validation and (b) external validation.

Close modal

Optimization of adsorption processes

For optimization of independent variables, the Derringer's desirability function method was utilized. In the mentioned method, the function scale operated between 0 and 1, in which 0 shows an entirely undesirable response and 1 represents a fully desired response (Haghighi et al. 2017).

The optimization results for BTA adsorption are given in Table 6. Accordingly, the optimum experimental conditions for removing BTA from aqueous solution were 35 min reaction time, 0.55 g/L adsorbent dose, and 50 mg/L initial BTA concentration. The predicted BTA adsorption efficiency was 92.6% at these optimal conditions, with an overall desirability value of 0.992. To further validate the model and to ensure that the model is representative of the actual system, six additional experiments were conducted under optimized conditions. Experimental responses were plotted versus the responses predicted by the model, and the results are illustrated in Figure 7. The predicted responses had correlations with the experimental ones with a high coefficient of determination of R2 = 0.992 and R2 = 0.974 for internal and external validation, respectively. It could be counted as undeniable proof of the suitability of the model.

Table 6

Optimum conditions selected for maximum possible BTA removal (%) by MMBC

Reaction time (min)Adsorbent dosage (g/L)Initial BTA concentration (mg/L)Experimental %Predicted %Desirability
35 0.55 50 92.6 92.64 0.992 
Reaction time (min)Adsorbent dosage (g/L)Initial BTA concentration (mg/L)Experimental %Predicted %Desirability
35 0.55 50 92.6 92.64 0.992 

Adsorption isotherm and kinetic studies

Isotherm studies

The adsorption isotherms are always considered feasible tools for determining the removal mechanism of pollutants in all adsorption systems. In order to obtain the isotherm parameters of BTA adsorption onto the MMBC, in general, the non-linear approach was adopted. The graphs of non-linear isotherms were prepared using MATLAB® 7.11.0 (R2015b). Five widely used isotherm models, namely Langmuir, Freundlich, Redlich–Peterson, Temkin, and Liu were applied. The results of non-linear isotherm studies of BTA adsorption at different temperatures (283 K, 298 K, and 313 K) are presented in Table 7. Accordingly, higher adsorption capacities of Langmuir isotherm (qe) were observed at higher temperatures (qm = 563.1 at 313 K, determination coefficient = 0.9799). Based on Table 7, at all studied temperatures, the Langmuir model, in comparison with the others, yielded the best fit with the experimental data of BTA adsorption with high coefficients of determination (R2 > 0.97) using the non-linear approach. Such observation clearly indicates the homogeneous identity of BTA adsorption onto the monolayer surfaces of MMBC. The Langmuir isotherm is applied to explain single-solute systems, and it is assumed that there are particular homogenous sites in the adsorbent and no significant interaction exists between diverse types of adsorbed substances. On the other hand, the Freundlich isotherm is used to explain heterogeneous systems (Suganya 2019). The adsorption capacities of BTA removal using various adsorbents are reported in Table 8, which confirms the high capability of ZnCl2-activated magnetic biochar in eliminating BTA from aqueous solutions.

Table 7

Adsorption isotherms and their parameters

Isotherm modelTemperature
283 K298 K313 K
Langmuir KL = 0.03717 KL = 0.09063 KL = 0.3017 
qm = 302.2 qm = 462.9 qm = 563.1 
SSE = 280.2 SSE = 746.9 SSE = 4044 
R2 = 0.9865 R2 = 0.9916 R2 = 0.9799 
R2adj = 0.9831 R2adj = 0.9895 R2adj = 0.9749 
RMSE = 8.369 RMSE = 13.66 RMSE = 31.8 
Freundlich KF = 18.24 KF = 60.28 KF = 147.8 
n = 1.591 n = 1.95 n = 2.495 
SSE = 776.1 SSE = 1555 SSE = 1318 
R2 = 0.9626 R2 = 0.9825 R2 = 0.9935 
R2adj = 0.9533 R2adj = 0.9782 R2adj = 0.9918 
RMSE = 13.93 RMSE = 19.71 RMSE = 18.15 
Redlich–Peterson KRP = 11.23 KRP = 41.95 KRP = 824.7 
aRP = 0.03716 aRP = 0.09063 aRP = 13.37 
g = 1 g = 1 g = 0.6291 
SSE = 280.2 SSE = 746.9 SSE = 971 
R2 = 0.9865 R2 = 0.9916 R2 = 0.9952 
R2adj = 0.9831 R2adj = 0.986 R2adj = 0.992 
RMSE = 8.369 RMSE = 15.78 RMSE = 17.99 
Liu Ka = 0.03716 Ka = 0.05947 Ka = 0.03512 
n = 1 n = 0.8491 n = 0.5509 
qm = 302.2 qm = 547.7 qm = 1085 
SSE = 280.2 SSE = 635.8 SSE = 458.1 
R2 = 0.9865 R2 = 0.9929 R2 = 0.9977 
R2adj = 0.9831 R2adj = 0.9881 R2adj = 0.9962 
RMSE = 8.369 RMSE = 14.56 RMSE = 12.36 
Temkin AT = 0.3872 AT = 2.357 AT = 18.81 
B = 65.24 B = 73.27 B = 74.63 
SSE = 2.916 SSE = 6020 SSE = 1.587e + 04 
R2 = 0.9999 R2 = 0.9323 R2 = 0.9212 
R2adj = 0.9998 R2adj = 0.9154 R2adj = 0.9015 
RMSE = 0.8538 RMSE = 38.79 RMSE = 62.99 
Isotherm modelTemperature
283 K298 K313 K
Langmuir KL = 0.03717 KL = 0.09063 KL = 0.3017 
qm = 302.2 qm = 462.9 qm = 563.1 
SSE = 280.2 SSE = 746.9 SSE = 4044 
R2 = 0.9865 R2 = 0.9916 R2 = 0.9799 
R2adj = 0.9831 R2adj = 0.9895 R2adj = 0.9749 
RMSE = 8.369 RMSE = 13.66 RMSE = 31.8 
Freundlich KF = 18.24 KF = 60.28 KF = 147.8 
n = 1.591 n = 1.95 n = 2.495 
SSE = 776.1 SSE = 1555 SSE = 1318 
R2 = 0.9626 R2 = 0.9825 R2 = 0.9935 
R2adj = 0.9533 R2adj = 0.9782 R2adj = 0.9918 
RMSE = 13.93 RMSE = 19.71 RMSE = 18.15 
Redlich–Peterson KRP = 11.23 KRP = 41.95 KRP = 824.7 
aRP = 0.03716 aRP = 0.09063 aRP = 13.37 
g = 1 g = 1 g = 0.6291 
SSE = 280.2 SSE = 746.9 SSE = 971 
R2 = 0.9865 R2 = 0.9916 R2 = 0.9952 
R2adj = 0.9831 R2adj = 0.986 R2adj = 0.992 
RMSE = 8.369 RMSE = 15.78 RMSE = 17.99 
Liu Ka = 0.03716 Ka = 0.05947 Ka = 0.03512 
n = 1 n = 0.8491 n = 0.5509 
qm = 302.2 qm = 547.7 qm = 1085 
SSE = 280.2 SSE = 635.8 SSE = 458.1 
R2 = 0.9865 R2 = 0.9929 R2 = 0.9977 
R2adj = 0.9831 R2adj = 0.9881 R2adj = 0.9962 
RMSE = 8.369 RMSE = 14.56 RMSE = 12.36 
Temkin AT = 0.3872 AT = 2.357 AT = 18.81 
B = 65.24 B = 73.27 B = 74.63 
SSE = 2.916 SSE = 6020 SSE = 1.587e + 04 
R2 = 0.9999 R2 = 0.9323 R2 = 0.9212 
R2adj = 0.9998 R2adj = 0.9154 R2adj = 0.9015 
RMSE = 0.8538 RMSE = 38.79 RMSE = 62.99 
Table 8

Comparison of the adsorption capacities of applied adsorbents with the other adsorbents for BTA removal from aqueous solutions

AdsorbentAdsorption capacity (mg g−1)Reference
Soil 0.073 − 0.195 Pourzamani et al. (2017)  
Zn–Al–O binary metal oxide 9.51 Tan et al. (2015)  
Zn–Al LDO 1910.0 Haghighi et al. (2017)  
ZIF–67/MGa 257.9 Kim & Kim (2019)  
ZIF–8(Zn)b 260 Khan et al. (2020)  
ZIF–67 (Co)c 270 Khan et al. (2020)  
MAF–5 (Co)d 389 Khan et al. (2020)  
Zeolitic imidazolate framework–8 (ZIF–8) 298.5 Zaheer et al. (2019)  
MMBC 462.9 This study 
AdsorbentAdsorption capacity (mg g−1)Reference
Soil 0.073 − 0.195 Pourzamani et al. (2017)  
Zn–Al–O binary metal oxide 9.51 Tan et al. (2015)  
Zn–Al LDO 1910.0 Haghighi et al. (2017)  
ZIF–67/MGa 257.9 Kim & Kim (2019)  
ZIF–8(Zn)b 260 Khan et al. (2020)  
ZIF–67 (Co)c 270 Khan et al. (2020)  
MAF–5 (Co)d 389 Khan et al. (2020)  
Zeolitic imidazolate framework–8 (ZIF–8) 298.5 Zaheer et al. (2019)  
MMBC 462.9 This study 

aZeolitic imidazolate framework–67/magnetic reduced graphene oxide.

bZeolitic imidazolate Zn framework–8.

cZeolitic imidazolate Co framework–67.

dCo-based metal azolate framework.

Kinetic studies

Kinetics describes solute uptake rates and defines the residence time of the adsorbate at the solid-liquid interface. Additionally, valuable insights into the reaction pathways and the adsorption mechanisms can be achieved via kinetic studies. Kinetic experiments were performed using the MMBC dosage, solution pH, and the initial BTA concentration of 1.0 g L−1, 7.0, and 100 mg L−1, respectively, at 283 K, 298 K, and 313 K (Figure 8).

Figure 8

Effect of contact time on BTA adsorption onto MMBC (adsorbent dose: 1.0 g L−1, pH: 7.0, BTA: 100 mg L−1).

Figure 8

Effect of contact time on BTA adsorption onto MMBC (adsorbent dose: 1.0 g L−1, pH: 7.0, BTA: 100 mg L−1).

Close modal

As shown in Figure 8, BTA uptake seems to have occurred in two steps. The first step involved swift uptake within the first 10 min of the contact followed by the subsequent removal of BTA, which continued for a relatively short period until adsorption equilibrium was obtained. The kinetic parameters acquired from non-linear fitting results are presented in Table 9. Based on the higher values of the adjusted determination coefficient (R2adj >0.99) and the lower values of SSE and the RMSE, it can be concluded that the kinetic models of the Avrami fractional-order kinetic model were the most appropriate for representing BTA adsorption onto MMBC.

Table 9

Adsorption rate constants for five kinetic models of BTA adsorption on MMBC

KineticTemperature
283 K298 K313 K
Pseudo-first-order (Lagergern) kf = 0.1944 kf = 0.3741 kf = 0.4955 
qe = 67.73 qe = 71.5 qe = 88.36 
SSE = 9.045 SSE = 25.16 SSE = 146.4 
R2 = 0.9982 R2 = 0.9951 R2 = 0.98 
R2adj = 0.998 R2adj = 0.9943 R2adj = 0.9767 
RMSE = 1.228 RMSE = 2.048 RMSE = 4.939 
Pseudo-second-order (Ho) kS = 0.003169 kS = 0.006624 kS = 0.007719 
qe = 76.74 qe = 78.23 qe = 95.2 
SSE = 99.19 SSE = 35.82 SSE = 53.38 
R2 = 0.9807 R2 = 0.993 R2 = 0.9927 
R2adj = 0.9775 R2adj = 0.9919 R2adj = 0.9915 
RMSE = 4.066 RMSE = 2.443 RMSE = 2.983 
Avrami fractional order kAV = 0.1962 kAV = 0.3494 kAV = 0.4473 
nAV = 1.031 nAV = 0.8183 nAV = 0.658 
qe = 67.52 qe = 72.8 qe = 91.43 
SSE = 8.3 SSE = 2.743 SSE = 23.49 
R2 = 0.9984 R2 = 0.9995 R2 = 0.9968 
R2adj = 0.9977 R2adj = 0.9993 R2adj = 0.9955 
RMSE = 1.288 RMSE = 0.7406 RMSE = 2.167 
Elovich α = 37.53 α = 170.6 α = 579. 
β = 0.06476 β = 0.08219  β = 0.07887 
SSE = 362.1 SSE = 313.9 SSE = 318 
R2 = 0.9297 R2 = 0.9389 R2 = 0.9566 
R2adj = 0.918 R2adj = 0.9288 R2adj = 0.9494 
RMSE = 7.769 RMSE = 7.232 RMSE = 7.28 
Intraparticle diffusion C = 12.74 C = 23.71 C = 34.41 
kid = 9.284 kid = 8.696 kid = 10.12 
SSE = 1233 SSE = 1703 SSE = 2672 
R2 = 0.7606 R2 = 0.6686 R2 = 0.6352 
R2adj = 0.7207 R2adj = 0.6134 R2adj = 0.5744 
RMSE = 14.33 RMSE = 16.85 RMSE = 21.1 
KineticTemperature
283 K298 K313 K
Pseudo-first-order (Lagergern) kf = 0.1944 kf = 0.3741 kf = 0.4955 
qe = 67.73 qe = 71.5 qe = 88.36 
SSE = 9.045 SSE = 25.16 SSE = 146.4 
R2 = 0.9982 R2 = 0.9951 R2 = 0.98 
R2adj = 0.998 R2adj = 0.9943 R2adj = 0.9767 
RMSE = 1.228 RMSE = 2.048 RMSE = 4.939 
Pseudo-second-order (Ho) kS = 0.003169 kS = 0.006624 kS = 0.007719 
qe = 76.74 qe = 78.23 qe = 95.2 
SSE = 99.19 SSE = 35.82 SSE = 53.38 
R2 = 0.9807 R2 = 0.993 R2 = 0.9927 
R2adj = 0.9775 R2adj = 0.9919 R2adj = 0.9915 
RMSE = 4.066 RMSE = 2.443 RMSE = 2.983 
Avrami fractional order kAV = 0.1962 kAV = 0.3494 kAV = 0.4473 
nAV = 1.031 nAV = 0.8183 nAV = 0.658 
qe = 67.52 qe = 72.8 qe = 91.43 
SSE = 8.3 SSE = 2.743 SSE = 23.49 
R2 = 0.9984 R2 = 0.9995 R2 = 0.9968 
R2adj = 0.9977 R2adj = 0.9993 R2adj = 0.9955 
RMSE = 1.288 RMSE = 0.7406 RMSE = 2.167 
Elovich α = 37.53 α = 170.6 α = 579. 
β = 0.06476 β = 0.08219  β = 0.07887 
SSE = 362.1 SSE = 313.9 SSE = 318 
R2 = 0.9297 R2 = 0.9389 R2 = 0.9566 
R2adj = 0.918 R2adj = 0.9288 R2adj = 0.9494 
RMSE = 7.769 RMSE = 7.232 RMSE = 7.28 
Intraparticle diffusion C = 12.74 C = 23.71 C = 34.41 
kid = 9.284 kid = 8.696 kid = 10.12 
SSE = 1233 SSE = 1703 SSE = 2672 
R2 = 0.7606 R2 = 0.6686 R2 = 0.6352 
R2adj = 0.7207 R2adj = 0.6134 R2adj = 0.5744 
RMSE = 14.33 RMSE = 16.85 RMSE = 21.1 

Thermodynamic studies

Temperature is an essential parameter that governs the adsorption process. Thermodynamic studies were performed at different temperatures (283, 298, and 313 K) to calculate the thermodynamic parameters of the BTA adsorption process. The thermodynamic parameters of Arrhenius activation energy (Ea) and change in free energy (ΔG°), enthalpy (ΔH°), and entropy (ΔS°) of the adsorption process were calculated according to Equations (8)–(10) (Kim & Kim 2019). More details of these parameters are given in the Supplementary material (available with the online version of this paper):
(8)
(9)
(10)
The magnitude of activation energy gives information about the type of adsorption. The physisorption process usually has energies in the range of 5–40 kJ/mol, while higher activation energies (40–800 kJ/mol) suggest chemisorption (Zaheer et al. 2019). The activation energy was calculated to be 20.3 kJ/mol, indicating that the adsorption of BTA onto the MMBC was a physisorption process (<40 kJ/mol) (Kim & Kim 2019; Pourzamani et al. 2017). According to the thermodynamic results, the obtained ΔG° was negative at all temperatures, indicating that the process is spontaneous and more favorable at high temperatures (see Table 10). The positive value of ΔH° (55.2 kJ/mol) also showed that the process of BTA adsorption onto MMBC is endothermic. The enthalpy change value between 2.1 and 20.9 kJ/mol is frequently considered to indicate physical adsorption processes, whereas, for chemical adsorption, it lies in the range of 80–200 kJ/mol. In this study, the ΔH° value was 55.2 kJ/mol, suggesting that the transportation of BTA from the aqueous solution to the MMBC surface occurred physically, which is consistent with the results obtained from the activation energy of the adsorption (Kim & Kim 2019). Additionally, from the positive value of ΔS°, it can be concluded that an increase occurred in the randomness of the solid/surface interface at the internal structure of the BTA adsorption onto the applied composite.
Table 10

The values of thermodynamic parameters of BTA adsorption on MMBC

T (K)ΔH° (kJ/mol)ΔS° (J/mol)ΔG° (kJ/mol)
283 55.2 275 –22.7 
298 –26.5 
313 –30.9 
T (K)ΔH° (kJ/mol)ΔS° (J/mol)ΔG° (kJ/mol)
283 55.2 275 –22.7 
298 –26.5 
313 –30.9 

Reusability of MMBC

The reusability of the adsorbents is an essential criterion for their commercial applications. Simple methanol washing was performed to recover MMBC for reuse in other adsorption cycles since BTA is readily soluble in methanol. As represented in Figure 9, the adsorption percentage of BTA by MMBC decreased non-significantly from 99.2 to 93.9% after the fifth cycle. This proves that the synthesized MMBC can be recycled and reused for at least five successive cycles with an adsorption efficiency of >90%. It was also observed that desorption efficiencies did not noticeably change by increasing desorption cycles. More than 93.5% of the adsorbed BTA could be desorbed and recovered from the MMBC surface in the presence of methanol in the fifth cycle. These results suggest that the MMBC has a good potential for regeneration and reusability. Therefore, it can serve as a cost-effective and robust adsorbent for BTA removal from aqueous solutions in industrial applications based on simple and easy renewal with solvent treatment.

Figure 9

Examining the adsorptive removal of BTA at five consecutive cycles using MMBC.

Figure 9

Examining the adsorptive removal of BTA at five consecutive cycles using MMBC.

Close modal

In the present research, the MMBC composite was synthesized and characterized by various techniques for BTA adsorption from aqueous solutions. Therefore, CCD was applied to investigate and optimize BTA adsorption variables such as BTA initial concentration, pH value, reaction time, and composite dosage. Based on the obtained results, the following conclusions are reached:

  • SEM and EDX analysis announced that ZnCl2 successfully modified Fe3O4 particles uniformly distributed on BC and prepared composed.

  • Among various chemicals, ZnCl2 was the best modifier for modification of MBC, and ZnCl2/MBC had the highest performance in BTA adsorption.

  • The primary operational parameter evaluation indicated that the BTA removal rate increases with increasing MMBC dosage and reaction time, while it declines with increasing initial BTA concentration.

  • According to Derringer's desirability function method, the optimum condition was found to be 35 min reaction time, 0.55 g/L adsorbent dose, and 50 mg/L initial BTA concentration.

  • The kinetic studies illustrated that the Avrami fractional-order model could describe BTA adsorption behavior well. Also, the adsorption isotherm was fitted with a non-linear Langmuir model with a maximum adsorption capacity of 563.1 mg/g. Moreover, thermodynamic parameters indicated a feasible, spontaneous, and endothermic physisorption.

  • The regeneration assessments approved that the MMBC composite had appealing features for field application.

The authors would like to thank the Research and Technology Deputy of Ahvaz Jundishapur University of Medical Sciences for financial support (grant no: ETRC-9505).

All relevant data are included in the paper or its Supplementary Information.

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