In this work, heavy metals were removed simultaneously using wheat bran as an adsorbent. For batch experiments, the Box–Behnken design of response surface methodology was used and the effect of dye on metal removal was analysed. It has been observed that the presence of dye has reduced the removal of each metal in the range of 100–20% with no appreciable reduction in dye adsorption. The optimum pH, temperature, and adsorbent dose were found to be 7.59, 33.23 °C, and 2.90 g/L, respectively, for 79.70% chromium, 99.9% cadmium and 87.27% copper removal. It was found that Langmuir isotherm fits well with the experimental data (RMSE value up to 0.033). The maximum adsorption capacity obtained for copper, chromium, cadmium and dye were 2.17 mg/g, 1.76 mg/g, 1.52 mg/g and 3.215 mg/g, respectively. The continuous study was performed for parameters, i.e. bed height (0.15–0.45 m), flow rate (5–15 mL/min) and initial metal concentration (100–500 mg/L). In continuous study, dye acted as an interfering species and as a result breakthrough and exhaustion time decreased. The modelling and simulation of continuous adsorption process were performed. A dynamic mathematical model was developed for continuous fixed bed adsorption column to compare the breakthrough curve with experimental results.

  • A very limited study has been done for simultaneous removal of heavy metals and dyes, therefore the work of this manuscript will be a contribution to the community. This is the novelty of this manuscript.

Graphical Abstract

Graphical Abstract
Graphical Abstract

Water pollution is one of the biggest threats to the environment. Water gets polluted due to the release of various pollutants from industrial activities. The presence of pollutants higher than the permissible limit (3, 0.1, 2, 5, 0.1, 0.01, 0.2, 3 mg/L for copper, chromium, cadmium, zinc, lead, mercury, arsenic and nickel, respectively) causes harmful effects on aquatic life. The excessive release of pollutants such as heavy metals, dyes and pigments, pesticides, pharmaceutical compounds, etc. released by textile, tannery, electroplating and pharmaceutical industries leads to water pollution. They can be toxic or carcinogenic in nature and can cause severe problems for humans (cancer, abdominal pain, nausea and liver damage) and aquatic ecosystems (Lin et al. 2017; Aigbe et al. 2018). Among various pollutants, dye and heavy metals are the most common and harmful/toxic to the environment.

Heavy metal pollution is one of the global threat because of the industrial revolution. However, in dyes metal complex dyes are prominent (Banat et al. 1996). The presence of dye in the water is highly visible and affects water transparency and gas solubility. Heavy metals and dyes come out simultaneously from the textile, printing and dye industries (Ren et al. 2008; Fu & Wang 2011). The presence of dyes and heavy metals together in the effluent stream necessitates the treatment for their simultaneous removal. There are various conventional techniques such as chemical precipitation, flotation, ion exchange, coagulation and flocculation, membrane filtration, reverse osmosis, and adsorption (Fu & Wang 2011). Among all these techniques, the adsorption process is the most efficient and widely used technique for the removal of heavy metals from wastewater because of its low cost, availability and eco-friendly nature.

Tovar-Gomez et al. (2012) has removed heavy metals such as nickel, cadmium, zinc and acid blue 25 dye simultaneously using Ca(PO3)2-modified carbon adsorbent. It was reported that presence of acid blue 25 dye has increased removal of heavy metals in binary mixture of dyes and heavy metals. Similarly, Aguayo-Villarreal et al. (2013) has removed cadmium, zinc and acid blue 25 simultaneously using activated carbons and it was observed that acid blue 25 has a synergistic effect on cadmium and zinc removal and in its presence cadmium and zinc removal has increased 60 times as compared to the results obtained in monometal system. Further, in simultaneous removal of dyes (methyl orange, methylene blue) and heavy metals (copper, cadmium, nickel) using fly ash, dyes were competing with heavy metals. The removal order was dye > copper > cadmium > nickel. However, various dyes such as basic violet 3, acid blue 25, basic blue 9 and heavy metals such as nickel, lead, cadmium and zinc were removed simultaneously using (CL) clinoptilolite and (erionite) ER. In this system, there is competition between heavy metals and dyes for the same adsorption sites and it reduces the adsorption capacity of both dye and heavy metals (Hernández-Montoya et al. 2013). Deng et al. (2013) has removed cadmium and dyes (methylene blue and orange G) simultaneously. Methylene blue was affecting cadmium antagonistically but cadmium does not effect on methylene blue dye in Cd(II)–methylene blue binary system. However, the removal of orange G increases with cadmium concentration but the presence of orange G does not effect the removal of cadmium. According to Taştan et al. (2010) when Cr(VI) and dye are present together then chromium will decrease the removal of Cr and dye as well because of the antagonistic effect. But for Cu(II) and dye, copper will not affect dye removal but Cu(II) removal rate will be increased from 29.06% to 37.91% by the presence of dye because the dye is acting antagonistically.

Although a good literature work is available for dye and single metal removal, the literature related to multimetal and dye is still not available. Therefore, in this paper, with the help of multimetal dye system, the effect of dye on metal removal capacity using synthesised adsorbent was analysed.

In this work, modified wheat bran was used as an adsorbent for copper, chromium and cadmium removal from wastewater in batch and continuous modes. In batch mode, the Box–Behnken design was used in response surface methodology for carrying out experiments. Further, for simultaneous removal of heavy metals and dyes in continuous mode, pellets were prepared using modified wheat bran alongwith clay and chitosan as a binder. A dynamic mathematical model was developed for continuous fixed bed adsorption column to compare the breakthrough curve with experimental results. The effect of various parameters such as initial metal concentration of copper, chromium, cadmium and adsorbent dose was investigated. In continuous column study experiments were carried out for mixed metal system at various parameters bed height (0.30 m), flow rate (10 mL/min) and initial metal concentration (300 mg/L). Then breakthrough curves obtained from experimental data and model data were compared.

Materials and chemicals used

Bentonite clay and chitosan (Merck, Germany) were purchased from a local market. Wheat bran was collected from the local bakery shop and flour mill at Jaipur. Hydrochloric acid (HCl, Rankem) of analytical reagent grade was purchased from a local market. Potassium dichromate (K2Cr2O7), cupric sulphate pentahydrate (CuSO4.5H2O) and cadmium chloride monohydrate (CdCl2.H2O) were purchased from Sigma Aldrich, New Delhi, India (Table 1).

Table 1

IUPAC systematic names, CAS Registry Number, source of the chemicals, purification method used and final sample purity of chemicals used

ChemicalsIUPAC systematic namesCAS registry numbersSource of the chemicalsPurification methods usedFinal sample purity
Potassium dichromate (K2Cr2O7), Potassium dichromate (VI) 7778-50-9 Chitosan (Merck, Germany) were purchased from local market Adsorption >= 99.0% 
Cupric sulphate pentahydrate (CuSO4.5H2O), Cupric sulphate pentahydrate 7758-99-8 Chitosan (Merck, Germany) were purchased from local market Chemical precipitation 99% 
Cadmium chloride monohydrate (CdCl2.H2O) Cadmium dichloride; hydrate 35658-65-2 Sigma Aldrich, New Delhi, India Recrystallization 99% 
Sodium hydroxide (NaOH), Sodium oxidanide 1310-73-2 Chitosan (Merck, Germany) were purchased from local market Electrodialysis 99.996% 
Hydrochloric acid (HCl, Rankem) Chlorane 7647-01-0 Rankem of analytical reagent grade was purchased from local market Adsorption 35% 
Bentonite clay Dialuminum disodium oxygen silicon hydrate 1302-78-9 Sigma Aldrich, New Delhi, India Centrifugation 99.99% 
Chitosan Poly-D-glucosamine 9012-76-4 Sigma Aldrich, New Delhi, India Membrane separation 99% 
Wheat bran – – – – – 
ChemicalsIUPAC systematic namesCAS registry numbersSource of the chemicalsPurification methods usedFinal sample purity
Potassium dichromate (K2Cr2O7), Potassium dichromate (VI) 7778-50-9 Chitosan (Merck, Germany) were purchased from local market Adsorption >= 99.0% 
Cupric sulphate pentahydrate (CuSO4.5H2O), Cupric sulphate pentahydrate 7758-99-8 Chitosan (Merck, Germany) were purchased from local market Chemical precipitation 99% 
Cadmium chloride monohydrate (CdCl2.H2O) Cadmium dichloride; hydrate 35658-65-2 Sigma Aldrich, New Delhi, India Recrystallization 99% 
Sodium hydroxide (NaOH), Sodium oxidanide 1310-73-2 Chitosan (Merck, Germany) were purchased from local market Electrodialysis 99.996% 
Hydrochloric acid (HCl, Rankem) Chlorane 7647-01-0 Rankem of analytical reagent grade was purchased from local market Adsorption 35% 
Bentonite clay Dialuminum disodium oxygen silicon hydrate 1302-78-9 Sigma Aldrich, New Delhi, India Centrifugation 99.99% 
Chitosan Poly-D-glucosamine 9012-76-4 Sigma Aldrich, New Delhi, India Membrane separation 99% 
Wheat bran – – – – – 

Powdered adsorbent and adsorbent pellet preparation

Wheat bran was collected from flour mill of Jaipur was washed several times with (de-ionized) DI water followed by drying at 70 °C for 2 h. After drying, it was grinded and passed through a mesh. Wheat bran of 300-micron size was collected for acid treatment. 200 g of 300-micron size wheat bran was weighed and treated with 400 mL of concentrated hydrochloric acid in 1,000 mL of conical flask. Finally, the adsorbent was washed with DI water to remove excess acid present in it and dried again in an oven at 90 °C for 2 h. Synthesised adsorbent was processed for adsorbent pellet preparation (Figure 1). Chitosan was weighed (1 g) and mixed with acetic acid solution (10 mL of 2 wt%) and stirred at 500 rpm for 2 h. This mixture (1 part) was added with bentonite clay (1 part) and modified adsorbent (3 parts). 2.5 cm diameter pellet was prepared with this dough using press machine (Figure 1). Chitosan and clay acts as a binder in an adsorbent pellet. Chitosan has good adhesive property and clay has good mechanical strength (Ilium 1998; Carvalho et al. 2006).
Figure 1

EDS analysis of (a) raw wheat bran and (b) modified wheat bran.

Figure 1

EDS analysis of (a) raw wheat bran and (b) modified wheat bran.

Close modal

Preparation of stock solution

In simultaneous metal study, copper, chromium, cadmium and acid black 60 dye containing equal volume of each solution in 250 mL flask was prepared. The concentration was ranged between 15 mg/L to 100 mg/L for each metal and 15 mg/L to 200 mg/L for acid black 60 dye. The multicomponent solution was prepared using salt of cupric sulphate pentahydrate, potassium dichromate and cadmium chloride monohydrate. The adsorbent dose was varied from 0.5 g to 5 g and then flasks were shaken at 180 rpm at 35 °C in incubator for 4 h. The pH of the solution was ranged between 2 and 10. Adsorbent was separated from the solution and absorbance was measured using atomic absorption spectrophotometer. The effect of several parameters such as pH, temperature, adsorbent dose, initial concentration of copper, initial concentration of chromium and initial concentration of cadmium were investigated using Box–Behnken design.

Adsorption capacity and removal percent

In batch study, adsorption capacity was
(1)
Metal percent removal was
(2)
  • – Volume of solution (mL)

  • W – Weight of adsorbent (g)

Design of experiments

When effect of a parameter is positive, there is increment in the response with change in factor from low to high values. If the effects are negative, there is a reduction in response for high level of the same factor (Cojocaru & Zakrzewska-Trznadel 2007). A set of experiments were performed and response variable was fitted using second order model in the form of a quadratic equation given below.
(3)

R2 values tell that how well a model fits to the data points. The range of R2 value is from 0 to 1 and 1 indicates the ideal value. R is predicted response (removal efficiency of heavy metal) where Xi = 1, 2, 3 are independent factors. While co, ci (i = 1,2,3), cii (i = 1,2,3), cij (i = 1,2,3; j = 1,2,3) are model coefficients.

Characterisation of synthesised adsorbent

EDS

Elemental analysis of the raw wheat bran and chemically MWB was done using EDS to determine its chemical composition as shown in Figure 1(a) and 1(b), respectively. It was observed that there is the presence of carbon and oxygen elements in cellulose, having a weight percent of 54.65% and 65.85%, respectively. But after the acid treatment of wheat bran, the carbon wt % increases to 65.85% and oxygen wt% decreases to 31.82% because of loss of water molecules. Treatment with concentrated hydrochloric acid has caused dehydration and charring of the wheat bran, leading to increase in the carbon content and development of active sites for metal adsorption. This improves the extraction behaviour of wheat bran (Krishnani et al. 2004).

FTIR and XRD

In FTIR spectra of adsorbent, it was observed that both wheat bran and MWB have the same profiles, but intensities of absorption bands are different (Figure 2(a)). In raw wheat bran, peaks at 3,400 cm−1 show –OH stretching vibration, which indicates the presence of cellulose (Kaya et al. 2014). After further treatment with hydrochloric acid, this broad stretching vibration has been reduced because partial hydrogen bond present in cellulose has been destroyed. Similarly, adsorption band of carboxyl group at 1,538 cm−1 has been destructed in acid-treated wheat bran. Peaks at 1,241, 1,157, 1,076, and 1,024 cm−1 show the presence of C-O-C group in raw wheat bran, and these peaks have been reduced and destroyed in MWB. Further, peaks at 860, 766, and 723 cm−1 have also disappeared in MWB. There is a peak at 1,657 cm−1 in raw wheat bran due to C = O group. There is a shift and intensity decrease in this peak from 1,657 cm−1 to 1,712 cm−1, which confirms the amorphous nature of raw wheat bran.
Figure 2

FTIR pattern of (a) wheat bran and modified wheat bran (b) adsorbent pellets before and after adsorption; (c) XRD of adsorbent pellet before and after adsorption.

Figure 2

FTIR pattern of (a) wheat bran and modified wheat bran (b) adsorbent pellets before and after adsorption; (c) XRD of adsorbent pellet before and after adsorption.

Close modal

Further, Figure 2(b) shows FTIR of adsorbent pellets. In FTIR analysis of adsorbent pellets, peak at 3,621 cm−1 is due to the asymmetric stretching of Al–OH–Al, 3,379 cm−1 peak is due to vibrations of water molecules, 1,631 cm−1 peak shows N–H bending vibrations in N–H, peak at 1,469 cm−1 shows bending vibrations of amine group (–NH2) present in chitosan before adsorption but after adsorption, this peak diminishes, peak at 1,009 cm−1 is due to –CO stretching vibration in –COH, peak at 793 cm−1 shows stretching vibration of Al-O-Si present in clay. Further, 933 cm−1, 869 cm−1, 691 cm−1, 524 cm−1, and 425 cm−1 peaks show Al–Al–OH deformation, Al-Mg-OH deformation, coupled Al-O and Si-O, Al-O-Si deformation and Si-O-Si bending vibrations. Peaks at 2,922 cm−1, 2,296 cm−1 and 2,074 cm−1 is due to the –C–H stretching in cellulose present in wheat bran. In Figure 2(c), there are various peaks of XRD pattern because of cellulose, clay and chitosan. Peaks at 2θ = 20°, 22° and 25.32°, 26.83°, 31.90°, 35.11°, 45.68°, 62.12°, 68.26° are due to chitosan, silica and bentonite clay. But after adsorption, these peaks shift to the lower intensity.

Point of zero charge

Zeta potential analyser was used to analyse the point of zero charge of synthesised adsorbent at MNIT, Jaipur. The pH is a very important factor in adsorption. pH controls adsorption of the ion on the adsorbent surface. In Figure 3, point of zero charge for hydrochloric acid-treated wheat bran is 4. It is clear from Figure 3 that when pH of the solution is higher than point of zero charge, the negative charge on the adsorbent surface provides electrostatic interactions that are helpful in adsorption of positive ions such as copper and cadmium. However, when pH decreases, the adsorbent surface is positively charged and it is helpful in adsorption of negative ion such as chromium.
Figure 3

Zeta potential of hydrochloric acid treated wheat bran.

Figure 3

Zeta potential of hydrochloric acid treated wheat bran.

Close modal

Simultaneous removal of mixed metals and dye

Design of experiments

In this work, design of experiments was used for optimization of operating conditions and removal efficiency, and parameters such as initial concentration, pH, temperature and adsorbent dose was considered (Table 2). 3-level, 4-factor Box–Behnken design (BBD) was used to determine effect of these parameters on removal of heavy metals. Box–Behnken design is appropriate to use because it gives few combinations of variables to determine complex response function (Muthukumar et al. 2003). In our work, total 62 experiments were carried out for each metal ion (Table 3).

Table 2

Process factors and their levels

Factor coded values− 101
Initial concentration of copper (mg/L) 15 57.5 100 
Initial concentration of cadmium (mg/L) 15 57.5 100 
Initial concentration of chromium (mg/L) 15 57.5 100 
Initial concentration of dye 15 107.5 200 
Adsorbent dose (g) 0.5 2.75 
Temperature (°C) 17 36 55 
pH 10 
Factor coded values− 101
Initial concentration of copper (mg/L) 15 57.5 100 
Initial concentration of cadmium (mg/L) 15 57.5 100 
Initial concentration of chromium (mg/L) 15 57.5 100 
Initial concentration of dye 15 107.5 200 
Adsorbent dose (g) 0.5 2.75 
Temperature (°C) 17 36 55 
pH 10 
Table 3

Box–Behnken design matrix for four variables and response values

RunMetal ion conc.
pH (B)Dose (C)Temp (D)Response (R)
Cu (A1)Cd (A2)Cr (A3)Dye (A4)Removal (%)
CuCdCrDye
18 13.77 66.92 14 
65 96.56 45.17 25 
97.34 100 100 91.90 
96.82 44.76 38 36.20 
100 16 58 97.31 
45 100 20 40 
96.67 100 16 13.12 
85.53 99.33 60.8 76 
74.36 98.81 67.58 70 
10 35 50.8 37 16.11 
11 100 18.79 90 17.56 
12 35 74 77 95 
13 20 13.33 82 98.29 
14 85 100 65 52.18 
15 35.86 81.42 95 30.79 
16 76 20 74.33 49 
17 0. 68 21 58 50 
18 96.66 100 45 96.91 
19 96.67 99.81 58 99 
20 92.01 100 64 15 
21 87 18.53 90 90.68 
22 46 99.27 15 45 
23 99 55.31 77.63 21 
24 20 55 98 55 
25 79.82 87.46 75.75 88.89 
26 90 16 59 74 
27 35 51.37 95 94.69 
28 87 17.04 70 14.50 
29 91 16.05 56 18 
30 33 30 91 16.59 
31 87 70.49 35 20 
32 67 17.55 69 55.52 
33 95.65 41.20 42 25.23 
34 0. 37.6 100 79.16 80.32 
35 20 55.31 90 30 
36 82.68 98.01 64 75.14 
37 14 84.82 61 67 
38 100 15 90 20.23 
39 60 25 10 38.99 
40 82.45 55 72 77.77 
41 96.81 10 69.62 26.20 
42 28.53 83.96 90 91.27 
43 96 90.50 10 52.86 
44 82.45 18 15 59.14 
45 28.03 62.78 20 92.79 
46 39 16 64.86 33 
47 74.36 95.47 63.51 91.13 
48 25 90 92 96 
49 20.34 98 98 99.75 
50 50 69.68 50 53.12 
51 99 20 15 66 
52 40.3 93.68 98 99.75 
53 33.32 45.70 41 92 
54 51.23 33.98 63.74 35 
55 43.28 52.17 55 62.40 
56 1. 75 95.47 63.51 97.24 
57 95.09 98.12 51 87 
58 44 90 98 45 
59 53 95 90 66.12 
60 45.79 89.27 95 85.56 
61 94.48 97.02 92 83.12 
62 21 94.95 90 82.77 
RunMetal ion conc.
pH (B)Dose (C)Temp (D)Response (R)
Cu (A1)Cd (A2)Cr (A3)Dye (A4)Removal (%)
CuCdCrDye
18 13.77 66.92 14 
65 96.56 45.17 25 
97.34 100 100 91.90 
96.82 44.76 38 36.20 
100 16 58 97.31 
45 100 20 40 
96.67 100 16 13.12 
85.53 99.33 60.8 76 
74.36 98.81 67.58 70 
10 35 50.8 37 16.11 
11 100 18.79 90 17.56 
12 35 74 77 95 
13 20 13.33 82 98.29 
14 85 100 65 52.18 
15 35.86 81.42 95 30.79 
16 76 20 74.33 49 
17 0. 68 21 58 50 
18 96.66 100 45 96.91 
19 96.67 99.81 58 99 
20 92.01 100 64 15 
21 87 18.53 90 90.68 
22 46 99.27 15 45 
23 99 55.31 77.63 21 
24 20 55 98 55 
25 79.82 87.46 75.75 88.89 
26 90 16 59 74 
27 35 51.37 95 94.69 
28 87 17.04 70 14.50 
29 91 16.05 56 18 
30 33 30 91 16.59 
31 87 70.49 35 20 
32 67 17.55 69 55.52 
33 95.65 41.20 42 25.23 
34 0. 37.6 100 79.16 80.32 
35 20 55.31 90 30 
36 82.68 98.01 64 75.14 
37 14 84.82 61 67 
38 100 15 90 20.23 
39 60 25 10 38.99 
40 82.45 55 72 77.77 
41 96.81 10 69.62 26.20 
42 28.53 83.96 90 91.27 
43 96 90.50 10 52.86 
44 82.45 18 15 59.14 
45 28.03 62.78 20 92.79 
46 39 16 64.86 33 
47 74.36 95.47 63.51 91.13 
48 25 90 92 96 
49 20.34 98 98 99.75 
50 50 69.68 50 53.12 
51 99 20 15 66 
52 40.3 93.68 98 99.75 
53 33.32 45.70 41 92 
54 51.23 33.98 63.74 35 
55 43.28 52.17 55 62.40 
56 1. 75 95.47 63.51 97.24 
57 95.09 98.12 51 87 
58 44 90 98 45 
59 53 95 90 66.12 
60 45.79 89.27 95 85.56 
61 94.48 97.02 92 83.12 
62 21 94.95 90 82.77 

The residual plots were analysed for model adequacy in Figures 4,567. Figure 4(a)–4(d) shows plot between actual and predicted removal percent for copper, cadmium, chromium and dye. In Figure 4(a)–4(d), the actual value of R2 were found to be 0.8001 for copper, 0.8237 for cadmium, 0.8233 for chromium and 0.8016 for dye. Figure 5(a)–5(d) shows plot between % normal probability and externally studentized residuals. Figure 5(a)–5(d) shows how well a model satisfies ANOVA assumption where studentized residual is the measure of number of standard deviation. Figure 6(a)–6(d) shows plot between studentized residuals and predicted removal percent for copper, cadmium, chromium and dye. For a significant model, these plots should be randomly scattered. Figure 7(a)–7(d) shows the plot between studentized residuals and runs. In Figure 7(a)–7(d), for a significant model, the value of studentized residuals should lie in the interval of ±3.50.
Figure 4

The actual and predicted plot for (a) copper, (b) cadmium, (c) chromium, (d) acid black 60 dye removal using modified wheat bran as an adsorbent.

Figure 4

The actual and predicted plot for (a) copper, (b) cadmium, (c) chromium, (d) acid black 60 dye removal using modified wheat bran as an adsorbent.

Close modal
Figure 5

Normal % probability and studentized residual plot for (a) copper, (b) cadmium, (c) chromium, (d) acid black 60 dye removal using modified wheat bran as an adsorbent.

Figure 5

Normal % probability and studentized residual plot for (a) copper, (b) cadmium, (c) chromium, (d) acid black 60 dye removal using modified wheat bran as an adsorbent.

Close modal
Figure 6

The studentized residuals and predicted response plot for (a) copper, (b) cadmium, (c) chromium, (d) acid black 60 dye removal using modified wheat bran as an adsorbent.

Figure 6

The studentized residuals and predicted response plot for (a) copper, (b) cadmium, (c) chromium, (d) acid black 60 dye removal using modified wheat bran as an adsorbent.

Close modal
Figure 7

Studentized residuals and run number plot for (a) copper, (b) cadmium, (c) chromium, (d) acid black 60 dye, removal using modified wheat bran as an adsorbent.

Figure 7

Studentized residuals and run number plot for (a) copper, (b) cadmium, (c) chromium, (d) acid black 60 dye, removal using modified wheat bran as an adsorbent.

Close modal

Analysis of variance

In this study, A Box-Behnken design of response surface methodology was applied to predict the effect of initial concentration of copper (mg/L), initial concentration of cadmium (mg/L), initial concentration of chromium (mg/L), initial concentration of dye (mg/L), adsorbent dose (gram), temperature (°C) and pH on removal efficiency of copper, cadmium, chromium and dye (Table 3). The following second-order polynomial model Equations (4)–(7) are obtained from experimental data, and it demonstrates the relationship between copper, cadmium, chromium and dye removal efficiency (RCu, RCd, RCr, Rdye) and independent variables (A1, A2, A3, A4, B, C, D, E, F, G).
(4)
(5)
(6)
(7)

Table 4 shows ANOVA for response surface quadratic model. The model F value is 2.97, 3.47, 3.46, 3 for copper, cadmium, chromium and dye. This value measures how well factors describe the variation in the data about its mean (Behbahani et al. 2021; Cheng et al. 2021; Pal et al. 2021). Probability value (P) is a measurement of effects in a model that should be less than 0.05 for being significant, and in our work probability values are less than 0.05 for parameters A3, A2, A4, A2D, A32, A42, C2, B2 for copper; A3, A1, A4, B, A1D, DB, A12, A42, C2 for cadmium; A3, A1, A4, DB, A32, D2 for chromium and A3, A2, A1, A4, B, A3C, A2B, A4B, CB, D2 for dye. It means that only these parameters are significant for copper, cadmium, chromium and dye removal. Adequate precision ratio is 7.158 for copper removal, 6.807 for cadmium removal, 7.860 for chromium removal, and 6.201 for dye removal which is much higher than the minimum desirable amount of 4 and it indicates that there is the presence of adequate signal to noise ratio for this model (Srinivasan & Viraraghavan 2010; Ahmadi & Harouni 2014; Afshin et al. 2021).

Table 4

ANOVA results for the response surface quadratic model for copper, chromium, cadmium and dye

For copper and dye
SourceSum of squares
DfMean square
F-Value
P-Value
CuDye
CuDyeCuDyeCu DyeCuDye
Model 42,762.49 43,580.68 35 1,221.79 1,245.16 3.26 3.00 0.001 0.0024 Significant Significant 
A3-Cr conc. 9,979.09 6,798.29 9,979.09 6,798.29 26.64 16.39 < 0.0001 0.0004   
A2-Cd conc. 2,046.37 10,591.87 2,046.37 10,591.87 5.46 25.53 0.027 < 0.0001   
A1-Cu conc. 1,541.01 2,291.18 1,541.01 2,291.18 4.11 5.52 0.052 0.0266   
A4-dye conc. 3,490.31 1,855.82 3,490.31 1,855.82 9.32 4.47 0.0052 0.0442   
D-temp 452.45 10.08 452.45 10.08 1.21 0.024 0.2818 0.8773   
C-dose 102.76 920.41 102.76 920.41 0.27 2.22 0.604 0.1484   
B-pH 1.56 3,217.37 1.56 3,217.37 4.161E-003 7.76 0.949 0.0099   
A3A2 571.07 102.08 571.07 102.08 1.52 0.25 0.228 0.6240   
A3A1 169.27 12.67 169.27 12.67 0.45 0.031 0.507 0.8626   
A3A4 295.46 12.55 295.46 12.55 0.79 0.030 0.3826 0.8633   
A3322.56 120.48 322.56 120.48 0.86 0.29 0.3620 0.5945   
A3700.84 2,074.97 700.84 2,074.97 1.87 5.00 0.1831 0.0341   
A3828.62 20.70 828.62 20.70 2.21 0.050 0.1490 0.8250   
A2A1 539.07 4.62 539.07 4.62 1.44 0.011 0.2411 0.9167   
A2275.11 9.07 275.11 9.07 0.73 0.022 0.3993 0.8836   
A22,741.65 642.01 2,741.65 642.01 7.32 1.55 0.0119 0.2246   
A211.69 461.89 11.69 461.89 0.031 1.11 0.8612 0.3010   
A21,627.31 2,028.24 1,627.31 2,028.24 4.34 4.89 0.0471 0.0360   
A1A4 176.90 1.43 176.90 1.43 0.47 3.445E-003 0.4981 0.9536   
A110.58 209.65 10.58 209.65 0.028 0.51 0.8678 0.4835   
A1506.63 541.81 506.63 541.81 1.35 1.31 0.2554 0.2635   
A1117.70 900.90 117.70 900.90 0.31 2.17 0.5799 0.1526   
A498.11 166.19 98.11 166.19 0.26 0.40 0.6131 0.5323   
A12.01 591.61 2.01 591.61 5.374E-003 1.43 0.9421 0.2432   
A1411.54 1,854.60 411.54 1,854.60 1.10 4.47 0.3042 0.0442   
DC 377.08 150.84 377.08 150.84 1.01 0.36 0.3250 0.5517   
DB 113.24 316.68 113.24 316.68 0.30 0.76 0.5871 0.3903   
CB 864.50 1,820.26 864.50 1,820.26 2.31 4.39 0.1408 0.0461   
A32 2,842.89 974.19 2,842.89 974.19 7.59 2.35 0.0106 0.1375   
A22 273.48 1,036.36 273.48 1,036.36 0.73 2.50 0.4007 0.1261   
A12 222.13 380.42 222.13 380.42 0.59 0.92 0.4482 0.3471   
A42 1,978.92 1,434.57 1978.92 1,434.57 5.28 3.46 0.0298 0.0743   
D2 161.42 3,678.49 161.42 3,678.49 0.43 8.87 0.5173 0.0062   
C2 2,389.95 1,451.52 2389.95 1,451.52 6.38 3.50 0.0180 0.0727   
B2 5,760.18 17.15 5,760.18 17.15 15.38 0.041 0.0006 0.8404   
Residual 9,739.86 10,785.12 26 374.61 414.81 19.91 4.16 0.0018 0.0599   
Lack of fit 9,624.77 10,201.68 21 458.32 485.79 3.26 3.00 0.0013 0.0024 Significant Not significant 
Pure error 115.09 583.43 23.02 116.69 26.64 16.39 < 0.0001 0.0004   
Cor total 52,502.34 54,365.79 61 1,221.79 1,245.16 5.46 25.53 0.0274 < 0.0001   
For chromium and cadmium
SourceSum of squares
DfMean square
F-Value
P-Value
CrCdCrCdCrCdCrCd
Model 33,762.71 58,035.07 35 964.65 1,658.14 3.46 3.47 0.0008 0.0008 Significant  
A3-Cr conc. 10,526.96 4,678.06 10,526.96 4,678.06 37.76 9.79 < 0.0001 0.0043   
A2-Cd conc. 319.91 1,066.52 319.91 1,066.52 1.15 2.23 0.2939 0.1472   
A1-Cu conc. 1,958.11 8,369.93 1,958.11 8,369.93 7.02 17.52 0.0135 0.0003   
A4-dye conc. 4,523.24 14,959.93 4,523.24 14,959.93 16.23 31.31 0.0004 <0.0001   
D-temp 245.69 337.41 245.69 337.41 0.88 0.71 0.3565 0.4084   
C-dose 694.61 98.35 694.61 98.35 2.49 0.21 0.1265 0.6538   
B-pH 322.23 2,185.55 322.23 2,185.55 1.16 4.57 0.2922 0.0420   
A3A2 4.12 1,816.54 4.12 1,816.54 0.015 3.80 0.9042 0.0621   
A3A1 465.13 0.41 465.13 0.41 1.67 8.575E-004 0.2078 0.9769   
A3A4 805.21 1,753.01 805.21 1,753.01 2.89 3.67 0.1011 0.0665   
A3171.13 484.73 171.13 484.73 0.61 1.01 0.4404 0.3231   
A343.34 1,035.76 43.34 1,035.76 0.16 2.17 0.6966 0.1530   
A3133.01 677.73 133.01 677.73 0.48 1.42 0.4958 0.2445   
A2A1 544.50 135.99 544.50 135.99 1.95 0.28 0.1740 0.5982   
A2239.15 856.64 239.15 856.64 0.86 1.79 0.3628 0.1922   
A25.51 69.69 5.51 69.69 0.020 0.15 0.8893 0.7057   
A2364.50 93.85 364.50 93.85 1.31 0.20 0.2632 0.6613   
A2167.78 26.48 167.78 26.48 0.60 0.055 0.4449 0.8158   
A1A4 61.12 481.17 61.12 481.17 0.22 1.01 0.6435 0.3249   
A191.13 3,516.58 91.13 3,516.58 0.33 7.36 0.5724 0.0117   
A118.00 138.11 18.00 138.11 0.065 0.29 0.8014 0.5954   
A185.92 793.23 85.92 793.23 0.31 1.66 0.5835 0.2090   
A41,140.15 317.99 1,140.15 317.99 4.09 0.67 0.0535 0.4221   
A1191.62 158.09 191.62 158.09 0.69 0.33 0.4146 0.5701   
A1571.66 76.61 571.66 76.61 2.05 0.16 0.1640 0.6921   
DC 277.93 307.06 277.93 307.06 1.00 0.64 0.3272 0.4301   
DB 3,900.06 3,635.17 3,900.06 3,635.17 13.99 7.61 0.0009 0.0105   
CB 117.20 391.85 117.20 391.85 0.42 0.82 0.5224 0.3735   
A32 2,073.31 1,806.25 2,073.31 1,806.25 7.44 3.78 0.0113 0.0628   
A22 18.44 1,555.74 18.44 1,555.74 0.066 3.26 0.7990 0.0828   
A12 68.80 2,275.57 68.80 2,275.57 0.25 4.76 0.6235 0.0383   
A42 178.16 4,913.08 178.16 4,913.08 0.64 10.28 0.4313 0.0035   
D2 1,522.87 303.16 1,522.87 303.16 5.46 0.63 0.0274 0.4330   
C2 960.41 4,136.34 960.41 4,136.34 3.45 8.66 0.0748 0.0068   
B2 68.86 958.43 68.86 958.43 0.25 2.01 0.6234 0.1686   
Residual 7,247.52 12,424.56 26 278.75 477.87  30.49 0.0059 0.0006   
Lack of fit 7,106.54 12,328.28 21 338.41 587.06 12.00 3.47 0.0008 0.0008 Significant  
Pure error 140.99 96.28 28.20 19.26  9.79 < 0.0001 0.0043   
Cor total 41,010.23 70,459.63 61 964.65 1,658.14 3.46 2.23 0.2939 0.1472   
For copper and dye
SourceSum of squares
DfMean square
F-Value
P-Value
CuDye
CuDyeCuDyeCu DyeCuDye
Model 42,762.49 43,580.68 35 1,221.79 1,245.16 3.26 3.00 0.001 0.0024 Significant Significant 
A3-Cr conc. 9,979.09 6,798.29 9,979.09 6,798.29 26.64 16.39 < 0.0001 0.0004   
A2-Cd conc. 2,046.37 10,591.87 2,046.37 10,591.87 5.46 25.53 0.027 < 0.0001   
A1-Cu conc. 1,541.01 2,291.18 1,541.01 2,291.18 4.11 5.52 0.052 0.0266   
A4-dye conc. 3,490.31 1,855.82 3,490.31 1,855.82 9.32 4.47 0.0052 0.0442   
D-temp 452.45 10.08 452.45 10.08 1.21 0.024 0.2818 0.8773   
C-dose 102.76 920.41 102.76 920.41 0.27 2.22 0.604 0.1484   
B-pH 1.56 3,217.37 1.56 3,217.37 4.161E-003 7.76 0.949 0.0099   
A3A2 571.07 102.08 571.07 102.08 1.52 0.25 0.228 0.6240   
A3A1 169.27 12.67 169.27 12.67 0.45 0.031 0.507 0.8626   
A3A4 295.46 12.55 295.46 12.55 0.79 0.030 0.3826 0.8633   
A3322.56 120.48 322.56 120.48 0.86 0.29 0.3620 0.5945   
A3700.84 2,074.97 700.84 2,074.97 1.87 5.00 0.1831 0.0341   
A3828.62 20.70 828.62 20.70 2.21 0.050 0.1490 0.8250   
A2A1 539.07 4.62 539.07 4.62 1.44 0.011 0.2411 0.9167   
A2275.11 9.07 275.11 9.07 0.73 0.022 0.3993 0.8836   
A22,741.65 642.01 2,741.65 642.01 7.32 1.55 0.0119 0.2246   
A211.69 461.89 11.69 461.89 0.031 1.11 0.8612 0.3010   
A21,627.31 2,028.24 1,627.31 2,028.24 4.34 4.89 0.0471 0.0360   
A1A4 176.90 1.43 176.90 1.43 0.47 3.445E-003 0.4981 0.9536   
A110.58 209.65 10.58 209.65 0.028 0.51 0.8678 0.4835   
A1506.63 541.81 506.63 541.81 1.35 1.31 0.2554 0.2635   
A1117.70 900.90 117.70 900.90 0.31 2.17 0.5799 0.1526   
A498.11 166.19 98.11 166.19 0.26 0.40 0.6131 0.5323   
A12.01 591.61 2.01 591.61 5.374E-003 1.43 0.9421 0.2432   
A1411.54 1,854.60 411.54 1,854.60 1.10 4.47 0.3042 0.0442   
DC 377.08 150.84 377.08 150.84 1.01 0.36 0.3250 0.5517   
DB 113.24 316.68 113.24 316.68 0.30 0.76 0.5871 0.3903   
CB 864.50 1,820.26 864.50 1,820.26 2.31 4.39 0.1408 0.0461   
A32 2,842.89 974.19 2,842.89 974.19 7.59 2.35 0.0106 0.1375   
A22 273.48 1,036.36 273.48 1,036.36 0.73 2.50 0.4007 0.1261   
A12 222.13 380.42 222.13 380.42 0.59 0.92 0.4482 0.3471   
A42 1,978.92 1,434.57 1978.92 1,434.57 5.28 3.46 0.0298 0.0743   
D2 161.42 3,678.49 161.42 3,678.49 0.43 8.87 0.5173 0.0062   
C2 2,389.95 1,451.52 2389.95 1,451.52 6.38 3.50 0.0180 0.0727   
B2 5,760.18 17.15 5,760.18 17.15 15.38 0.041 0.0006 0.8404   
Residual 9,739.86 10,785.12 26 374.61 414.81 19.91 4.16 0.0018 0.0599   
Lack of fit 9,624.77 10,201.68 21 458.32 485.79 3.26 3.00 0.0013 0.0024 Significant Not significant 
Pure error 115.09 583.43 23.02 116.69 26.64 16.39 < 0.0001 0.0004   
Cor total 52,502.34 54,365.79 61 1,221.79 1,245.16 5.46 25.53 0.0274 < 0.0001   
For chromium and cadmium
SourceSum of squares
DfMean square
F-Value
P-Value
CrCdCrCdCrCdCrCd
Model 33,762.71 58,035.07 35 964.65 1,658.14 3.46 3.47 0.0008 0.0008 Significant  
A3-Cr conc. 10,526.96 4,678.06 10,526.96 4,678.06 37.76 9.79 < 0.0001 0.0043   
A2-Cd conc. 319.91 1,066.52 319.91 1,066.52 1.15 2.23 0.2939 0.1472   
A1-Cu conc. 1,958.11 8,369.93 1,958.11 8,369.93 7.02 17.52 0.0135 0.0003   
A4-dye conc. 4,523.24 14,959.93 4,523.24 14,959.93 16.23 31.31 0.0004 <0.0001   
D-temp 245.69 337.41 245.69 337.41 0.88 0.71 0.3565 0.4084   
C-dose 694.61 98.35 694.61 98.35 2.49 0.21 0.1265 0.6538   
B-pH 322.23 2,185.55 322.23 2,185.55 1.16 4.57 0.2922 0.0420   
A3A2 4.12 1,816.54 4.12 1,816.54 0.015 3.80 0.9042 0.0621   
A3A1 465.13 0.41 465.13 0.41 1.67 8.575E-004 0.2078 0.9769   
A3A4 805.21 1,753.01 805.21 1,753.01 2.89 3.67 0.1011 0.0665   
A3171.13 484.73 171.13 484.73 0.61 1.01 0.4404 0.3231   
A343.34 1,035.76 43.34 1,035.76 0.16 2.17 0.6966 0.1530   
A3133.01 677.73 133.01 677.73 0.48 1.42 0.4958 0.2445   
A2A1 544.50 135.99 544.50 135.99 1.95 0.28 0.1740 0.5982   
A2239.15 856.64 239.15 856.64 0.86 1.79 0.3628 0.1922   
A25.51 69.69 5.51 69.69 0.020 0.15 0.8893 0.7057   
A2364.50 93.85 364.50 93.85 1.31 0.20 0.2632 0.6613   
A2167.78 26.48 167.78 26.48 0.60 0.055 0.4449 0.8158   
A1A4 61.12 481.17 61.12 481.17 0.22 1.01 0.6435 0.3249   
A191.13 3,516.58 91.13 3,516.58 0.33 7.36 0.5724 0.0117   
A118.00 138.11 18.00 138.11 0.065 0.29 0.8014 0.5954   
A185.92 793.23 85.92 793.23 0.31 1.66 0.5835 0.2090   
A41,140.15 317.99 1,140.15 317.99 4.09 0.67 0.0535 0.4221   
A1191.62 158.09 191.62 158.09 0.69 0.33 0.4146 0.5701   
A1571.66 76.61 571.66 76.61 2.05 0.16 0.1640 0.6921   
DC 277.93 307.06 277.93 307.06 1.00 0.64 0.3272 0.4301   
DB 3,900.06 3,635.17 3,900.06 3,635.17 13.99 7.61 0.0009 0.0105   
CB 117.20 391.85 117.20 391.85 0.42 0.82 0.5224 0.3735   
A32 2,073.31 1,806.25 2,073.31 1,806.25 7.44 3.78 0.0113 0.0628   
A22 18.44 1,555.74 18.44 1,555.74 0.066 3.26 0.7990 0.0828   
A12 68.80 2,275.57 68.80 2,275.57 0.25 4.76 0.6235 0.0383   
A42 178.16 4,913.08 178.16 4,913.08 0.64 10.28 0.4313 0.0035   
D2 1,522.87 303.16 1,522.87 303.16 5.46 0.63 0.0274 0.4330   
C2 960.41 4,136.34 960.41 4,136.34 3.45 8.66 0.0748 0.0068   
B2 68.86 958.43 68.86 958.43 0.25 2.01 0.6234 0.1686   
Residual 7,247.52 12,424.56 26 278.75 477.87  30.49 0.0059 0.0006   
Lack of fit 7,106.54 12,328.28 21 338.41 587.06 12.00 3.47 0.0008 0.0008 Significant  
Pure error 140.99 96.28 28.20 19.26  9.79 < 0.0001 0.0043   
Cor total 41,010.23 70,459.63 61 964.65 1,658.14 3.46 2.23 0.2939 0.1472   

RCu – Squared = 0.8001 and Rdye -Squared = 0.8016.

RCr – Squared = 0.8233 and RCd -Squared = 0.8237.

Effect of process variables

The effects of process variables on simultaneous removal of copper, cadmium, chromium and dye has been described with the help of three-dimensional Figures 8(a), 8(b), 9(a), 9(b), 10(a) and 10(b).
Figure 8

Response surface 3-D plots for combined effect of (a) chromium ion concentration and cadmium ion concentration, and (b) chromium ion concentration and dye, on removal efficiency of copper.

Figure 8

Response surface 3-D plots for combined effect of (a) chromium ion concentration and cadmium ion concentration, and (b) chromium ion concentration and dye, on removal efficiency of copper.

Close modal
Figure 9

Response surface 3-D plots for combined effect of (a) chromium ion concentration and copper ion concentration, and (b) chromium ion concentration and dye on removal efficiency of cadmium.

Figure 9

Response surface 3-D plots for combined effect of (a) chromium ion concentration and copper ion concentration, and (b) chromium ion concentration and dye on removal efficiency of cadmium.

Close modal
Figure 10

Response surface 3-D plots for combined effect of (a) chromium ion concentration and cadmium ion concentration, and (b) chromium ion concentration and copper ion concentration on removal efficiency of chromium.

Figure 10

Response surface 3-D plots for combined effect of (a) chromium ion concentration and cadmium ion concentration, and (b) chromium ion concentration and copper ion concentration on removal efficiency of chromium.

Close modal

Effect of copper initial concentration

Chromium removal increases 80% to 100% with increase in copper concentration from 15 to 100 mg/L; it shows that increase of copper concentration has synergistic effect on chromium removal (Figure 10(b)). Cadmium removal decreases 100% to 50% with increase in copper concentration from 15 to 100 mg/L; it shows that increase of copper concentration has antagonistic effect on cadmium removal (Figure 9(a)).

Effect of cadmium initial concentration

Copper removal increases 20% to 60% with increase in cadmium concentration from 15 to 100 mg/L, it shows that increase of cadmium concentration has synergistic effect on copper removal (Figure 8(a)). Chromium removal decreases 100% to 90% with increase in cadmium concentration from 15 to 100 mg/L; it shows that increase of cadmium concentration has antagonistic effect on chromium removal (Figure 7(a)).

Effect of chromium initial concentration

Copper removal increases from 20% to 40% with increase in chromium concentration from 15 to 100 mg/L, it shows that chromium concentration has synergistic effect on copper removal (Figure 8(a)). Cadmium removal decreases from 100% to 20% with increase in chromium concentration from 15 to 100 mg/L; it shows that chromium concentration has antagonistic effect on cadmium removal (Figure 9(a)).

Effect of dye initial concentration

In simultaneous removal of heavy metals and dye, dye is also added with the heavy metals. It is clear from Figures 8(b) and 9(b) that, when dye is added in ternary mixture of copper, cadmium and chromium, removal of copper, cadmium and chromium decreases. It shows that dye is acting as an interfering species in removal of all three heavy metals.

Effect of pH

From Figure 11(a), it was observed that removal % of copper increases with pH from 2 to 5 but after pH, it decreases. At pH 2–6, chromium is present in the form of Cr2O7 – and HCrO4 where HCrO4 – predominates (Figure 11(b)). For chromium ion, removal is low at high pH and is highest (98.92%) at pH 2. For cadmium, removal increases with pH from 6 to 10 (Figure 11(c)).
Figure 11

Response surface plots for combined effect of metal ion concentration and pH for (a) copper, (b) chromium, and (c) cadmium.

Figure 11

Response surface plots for combined effect of metal ion concentration and pH for (a) copper, (b) chromium, and (c) cadmium.

Close modal

Adsorption isotherm study

In Table 5, Freundlich and Langmuir models were used to analyse the adsorption data (Figure 12). Then these data were compared with the monometal data. Table 6 shows the kinetic study. It was concluded from isotherm and kinetic study that after addition of dye in ternary metal system, the metal removal percent decreases.
Table 5

Adsorption isotherm for copper, cadmium, chromium and dye in quaternary system

MetalsSystemkf1/nR2RMSEqmkLR2RMSE
Copper  Freundlich isotherm  Langmuir isotherm  
Monometal (Cu) 1.22 0.434 0.99 1.18 4.33 0.529 0.99 0.045 
Multimetal (Cu-Cr-Cd) 1.29 0.451 0.97 1.20 4.71 0.618 0.99 0.033 
(Cu-Cr-Cd-dye) 1.05 0.455 0.99 1.01 3.98 0.264 0.98 0.10 
Cadmium Monometal (Cd) 1.146 0.355 0.99 0.97 3.37 0.578 0.97 0.118 
Multimetal (Cd-Cr-Cu-dye) 1.12 0.296 0.98 1.02 3.0 0.557 0.97 0.110 
Chromium Monometal (Cr) 0.902 0.716 0.97 1.054 9.00 0.078 0.98 0.079 
Multimetal (Cd-Cr-dye) 0.864 0.621 0.96 1.00 6.28 0.090 0.98 0.065 
(Cd-Cr-dye-Cu) 0.938 0.671 0.99 1.03 7.04 0.116 0.99 0.071 
Dye  1.01 0.321 0.99 1.01 3.10 4.76 0.98 0.67 
MetalsSystemkf1/nR2RMSEqmkLR2RMSE
Copper  Freundlich isotherm  Langmuir isotherm  
Monometal (Cu) 1.22 0.434 0.99 1.18 4.33 0.529 0.99 0.045 
Multimetal (Cu-Cr-Cd) 1.29 0.451 0.97 1.20 4.71 0.618 0.99 0.033 
(Cu-Cr-Cd-dye) 1.05 0.455 0.99 1.01 3.98 0.264 0.98 0.10 
Cadmium Monometal (Cd) 1.146 0.355 0.99 0.97 3.37 0.578 0.97 0.118 
Multimetal (Cd-Cr-Cu-dye) 1.12 0.296 0.98 1.02 3.0 0.557 0.97 0.110 
Chromium Monometal (Cr) 0.902 0.716 0.97 1.054 9.00 0.078 0.98 0.079 
Multimetal (Cd-Cr-dye) 0.864 0.621 0.96 1.00 6.28 0.090 0.98 0.065 
(Cd-Cr-dye-Cu) 0.938 0.671 0.99 1.03 7.04 0.116 0.99 0.071 
Dye  1.01 0.321 0.99 1.01 3.10 4.76 0.98 0.67 
Table 6

Kinetic parameters for Langmuir isotherm for simultaneous adsorption of copper, cadmium, copper and dye on hydrochloric acid-treated wheat bran

SolutionConc. (mg/L)qm (mg/g)k(g/mg.min)R2
Cd alone 50 1.63 5.331 0.999 
Cr alone 50 1.62 5.36 0.998 
Cu alone 50 1.75 2.82 0.998 
Dye 50 1.63 8.95 0.993 
Cd alone 100 3.12 2.94 0.997 
Cr alone 100 3.18 2.50 0.999 
Cu alone 100 3.227 2.031 0.996 
Dye alone 100 3.215 4.84 0.991 
FOR CADMIUM 
Cd-Cr-Cu 50-100-100 Cd-1.52 0.55 0.93 
Cr-2.93 1.01 0.999 
Cu-2.39 0.763 0.964 
Cd-Cr-Cu-dye 50-100-100-100 Cd-1.47 8.62 0.998 
Cr-1.52 3.68 0.923 
Cu-1.63 5.33 0.902 
Dye-3.13 2.94 0.998 
FOR CHROMIUM 
Cr-Cd-dye 50-100-100 Cr-1.61 5.0 0.997 
Cd-3.10 3.19 0.999 
Dye-3.17 0.544 0.971 
Cr-Cd-Cu-dye 50-100-100-100 Cr-1.76 2.68 0.999 
Cd-3.48 3.90 0.987 
Cu-3.42 1.99 0.998 
Dye-3.06 6.07 0.996 
FOR COPPER 
Cu-Cr-Cd 50-100-100 Cu-2.17 1.53 0.997 
Cr-3.53 1.35 0.995 
Cd-3.47 1.27 0.989 
Cu-Cr-Cd-dye 50-100-100-100 Cu-1.94 0.997 
Cr-2.65 1.73 0.997 
Cd-3.13 2.87 0.998 
Dye-3.13 2.93 0.999 
SolutionConc. (mg/L)qm (mg/g)k(g/mg.min)R2
Cd alone 50 1.63 5.331 0.999 
Cr alone 50 1.62 5.36 0.998 
Cu alone 50 1.75 2.82 0.998 
Dye 50 1.63 8.95 0.993 
Cd alone 100 3.12 2.94 0.997 
Cr alone 100 3.18 2.50 0.999 
Cu alone 100 3.227 2.031 0.996 
Dye alone 100 3.215 4.84 0.991 
FOR CADMIUM 
Cd-Cr-Cu 50-100-100 Cd-1.52 0.55 0.93 
Cr-2.93 1.01 0.999 
Cu-2.39 0.763 0.964 
Cd-Cr-Cu-dye 50-100-100-100 Cd-1.47 8.62 0.998 
Cr-1.52 3.68 0.923 
Cu-1.63 5.33 0.902 
Dye-3.13 2.94 0.998 
FOR CHROMIUM 
Cr-Cd-dye 50-100-100 Cr-1.61 5.0 0.997 
Cd-3.10 3.19 0.999 
Dye-3.17 0.544 0.971 
Cr-Cd-Cu-dye 50-100-100-100 Cr-1.76 2.68 0.999 
Cd-3.48 3.90 0.987 
Cu-3.42 1.99 0.998 
Dye-3.06 6.07 0.996 
FOR COPPER 
Cu-Cr-Cd 50-100-100 Cu-2.17 1.53 0.997 
Cr-3.53 1.35 0.995 
Cd-3.47 1.27 0.989 
Cu-Cr-Cd-dye 50-100-100-100 Cu-1.94 0.997 
Cr-2.65 1.73 0.997 
Cd-3.13 2.87 0.998 
Dye-3.13 2.93 0.999 
Figure 12

Isotherm plots for adsorption of copper (a) Freundlich and (b) Langmuir; for chromium (c) Freundlich and (d) Langmuir; for cadmium (e) Freundlich and (f) Langmuir at optimum conditions.

Figure 12

Isotherm plots for adsorption of copper (a) Freundlich and (b) Langmuir; for chromium (c) Freundlich and (d) Langmuir; for cadmium (e) Freundlich and (f) Langmuir at optimum conditions.

Close modal

Thermodynamic study was done for individual metals and it suggest that the adsorption process is endothermic for copper and chromium, and exothermic for cadmium (Renu et al. 2018).

From Figure 13, it is clear that the best local maximum value found is pH 7.59, initial metal concentration 93.50 mg/L for chromium, 15 mg/L for cadmium and 48.79 mg/L for copper, temperature 33.23 °C and adsorbent dose 2.90 g. Removal efficiency obtained at these conditions is 99.99% for cadmium, 87.275% for copper, and 79.70% for chromium and the desirability for these heavy metals is 0.862. The removal efficiency was verified with experimental results, which showed removal efficiency of 98, 86 and 79% for cadmium, copper and chromium, respectively, conforming the agreement in those obtained using Box–Behnken design. Thus it shows that Box–Behnken design can be used effectively.
Figure 13

Optimization for removal of copper, chromium, cadmium and dye.

Figure 13

Optimization for removal of copper, chromium, cadmium and dye.

Close modal

Design and fabrication of experimental setup

Column experiments were performed in an experimental set up as shown is Figure 14. Column is made up of glass with 63 cm height and 2.5 cm internal diameter. The prepared adsorbent pellets were filled inside the column up to the height, i.e. 0.15 m, 0.30 m, 0.45 m, and the adsorbent was supported using a fine sieve at the bottom of the column. Mixed metal ions at various initial concentration (100 mg/L, 300 mg/L, 500 mg/L) were fed at the bottom of the glass column at different flow rates of a 5 mL/min, 10 mL/min, 15 mL/min using peristaltic pump.
Figure 14

(a) Line diagram of experimental setup; (b) continuous column in laboratory.

Figure 14

(a) Line diagram of experimental setup; (b) continuous column in laboratory.

Close modal

Mathematical modelling

A dynamic adsorption model was developed including mass transfer resistance and dispersion phenomena. Operating system is in isothermal conditions, Langmuir isotherm was used for characterising the adsorption process, external-film mass transfer coefficient term was used and adsorbent particles are homogeneous in density and also in size.

Using the law of conservation of mass for heavy metals in the liquid phase, following equation was obtained.
(8)
mass transfer resistance,
(9)
From Langmuir isotherm,
(10)
Initial condition:
(11)
Boundary conditions:
(12)
(13)

The Equations (8) and (9) form a coupled system of differential equations and solved by finite difference technique using MATLAB software after discretizing the equations.

Effect of various parameters

In simultaneous removal, heavy metals (copper, cadmium and chromium) and dye (acid black 60) were mixed together and passed through the continuous column. Simultaneous removal of heavy metals and dye was performed for flow rate of 10 mL/min, initial metal concentration of 300 mg/L and bed height of 0.30 m (Table 7).

Table 7

Breakthrough and exhaustion time for copper, cadmium, chromium and dye at various parameters in simultaneous removal study

ParametersBreakthrough time (s)
CdCrCuDye
Bed height (0.30 cm) 1,034 542 1,925 3,712 
Flow rate (10 mL/min) 769 1,092 1,946 3,553 
Initial metal concentration (300 mg/L) 512 565 922 2,870 
ParametersExhaustion time (s)
CdCrCuDye
Bed height (0.30 cm) 6,749 12,406 10,184 17,000 
Flow rate (10 mL/min) 11,984 17,016 13,306 19,418 
Initial metal concentration (300 mg/L) 11,981 16,406 20,000 18,393 
ParametersBreakthrough time (s)
CdCrCuDye
Bed height (0.30 cm) 1,034 542 1,925 3,712 
Flow rate (10 mL/min) 769 1,092 1,946 3,553 
Initial metal concentration (300 mg/L) 512 565 922 2,870 
ParametersExhaustion time (s)
CdCrCuDye
Bed height (0.30 cm) 6,749 12,406 10,184 17,000 
Flow rate (10 mL/min) 11,984 17,016 13,306 19,418 
Initial metal concentration (300 mg/L) 11,981 16,406 20,000 18,393 

Effect of flow rate

Figure 15(a) shows the breakthrough curve for simultaneous removal of copper, cadmium, chromium and dye at initial metal concentration of 100 mg/L, flow rate of 10 mL/min and bed height of 0.15 m. It was observed that, for copper, breakthrough time was 2,929 s and then decreased to 1,946 s, for cadmium it has been decreased from 968 to 769 s, 2,200 s to 1,092 s for chromium and 4,414 s to 3,553 s dye. However, the exhaustion time reaches from 24,000 to 13,306 s for copper, 14,000 to 11,984 s for cadmium, 20,000 to 17,016 s for chromium, 20,000 to 19,418 s for dye. In simultaneous removal study, breakthrough and exhaustion time has been decreased for copper, cadmium, chromium and dye due to the antagonistic effect.
Figure 15

Effect of parameters (a) flow rate = 10 mL/min, (b) initial metal concentration = 300 mg/L, and (c) bed height = 0.30 cm on breakthrough curve for simultaneous removal study.

Figure 15

Effect of parameters (a) flow rate = 10 mL/min, (b) initial metal concentration = 300 mg/L, and (c) bed height = 0.30 cm on breakthrough curve for simultaneous removal study.

Close modal

Effect of initial metal concentration

Figure 15(b) shows the breakthrough curve for copper, cadmium and chromium in mixed system at initial metal concentration of 300 mg/L, flow rate of 5 mL/min and bed height of 0.15 m. It was observed that the breakthrough time has been decreased from 2,037 s to 922 s for copper, 825 to 512 s for cadmium, 1,514 to 565 s for chromium and 4,653 s to 2,870 s for dye. However, the exhaustion time reaches from 22,500 to 20,000 s for copper, 14,000 to 11,981 s for cadmium, 17,500 to 16,406 s for chromium and 20,000 to 18,393 s for dye. In mixed metal study, breakthrough and exhaustion time has been decreased for copper, cadmium, chromium and dye due to the antagonistic effect.

Effect of bed height

Figure 15(c) shows the breakthrough curve for copper, cadmium and chromium in mixed system at initial metal concentration of 100 mg/L, flow rate of 5 mL/min and bed height of 0.30 m. It was observed that due to antagonistic effect, breakthrough time has been decreased from 2,783 s to 1,925 s for copper, 1,436 s to 1,034 s for cadmium, 966 to 542 s for chromium and 4,826 s to 3,712 s for dye. However, the exhaustion time reaches from 12,000 to 10,184 s for copper, 7,000 to 6,749 s for cadmium, 14,656 to 12,406 s for chromium and 20,000 to 17,000 for dye.

The adsorption mechanism of heavy metals and dyes on adsorbent pellet has been examined by comparing XRD and FTIR of adsorbent pellet before and after adsorption. After the adsorption of heavy metals on adsorbent pellet, all XRD peaks shift towards the low diffraction (Figure 2(c)). It is clear that peaks at 2θ = 25.32°, 26.83°, 35.11° and 62.12° shift to 25.17°, 26.81°, 35.03° and 62.11° due to expansion in d-spacing caused by intercalation of the metals and dyes in the interlayer of adsorbent pellets. Similarly, in Figure 2(b), FTIR of adsorbent pellets show heavy metals and dyes adsorption on adsorbent pellets because after adsorption 1,469 cm−1 peak of amine group (–NH2) diminishes due to the adsorbent loading with heavy metals and dyes.

The results in the present study show that modified wheat bran is an efficient adsorbent for copper, chromium, and cadmium removal. The best local maximum value found was pH 7.59, initial metal concentration 93.50 mg/L for chromium, 15 mg/L for cadmium and 48.79 mg/L for copper, temperature 33.23 °C and adsorbent dose 2.90 g. Removal efficiency obtained at these conditions is 99.99% for cadmium, 87.275% for copper, and 79.70% for chromium and the desirability for these heavy metals is 0.862.

A dynamic mathematical model was developed for continuous fixed bed adsorption column to compare the breakthrough curve with experimental results. The high value of correlation coefficient R2, low value of chi-square and mean absolute percent error (MAPE) for all the parameters indicate that the present model can predict the column behaviour with good accuracy and there is a good agreement in experimental data and model-predicted data obtained in MATLAB software. In simultaneous removal of dye and heavy metals, dye acted as an interferring species in heavy metal removal.

The authors thank to Department of Chemical Engineering for the financial support and materials research centre, MNIT, Jaipur for carrying out characterization analysis.

Data cannot be made publicly available; readers should contact the corresponding author for details.

The authors declare there is no conflict.

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