Hei Ing Chienga,
Namal Priyanthabc and
Linda B. L. Lim*a
aDepartment of Chemistry, Faculty of Science, Universiti Brunei Darussalam, Jalan Tungku Link, Gadong, Negara Brunei Darussalam. E-mail: linda.lim@ubd.edu.bn; Fax: +673-2461502; Tel: +673-8748010
bDepartment of Chemistry, Faculty of Science, University of Peradeniya, Peradeniya, Sri Lanka
cPostgraduate Institute of Science, University of Peradeniya, Peradeniya, Sri Lanka
First published on 8th April 2015
Peat, a natural adsorbent, has been successfully used for the removal of the hazardous water-soluble cationic dye, brilliant green (BG). Characterization of peat was carried out by determining its physical and chemical compositions such as moisture, ash, carbon%, hydrogen%, nitrogen%, and sulphur% (CHNS), crude protein and crude fat. X-ray fluorescence (XRF) was used for the determination of the percentage of elements present in peat. Functional groups present in peat were analyzed using Fourier transform infra-red (FTIR). Changes in the surface morphology of peat before and after treatment with BG were studied using Scanning Electron Microscopy (SEM). The optimization time required for establishment of an adsorption equilibrium is determined to be 2.0 h. The ambient pH of BG was used throughout the study. Adsorption isotherm models such as Langmuir, Freundlich, Halsey, Temkin, Redlich–Peterson (R–P) and Sips were simulated to fit with the experimental equilibrium data. Based on linear regression, simulated isotherm models and error analyses, the R–P isotherm fitted well for the adsorption of BG by peat. Adsorption kinetics was found to follow the pseudo second order model, with a rate constant of 0.39 g mmol−1 min−1. BG-loaded peat was successfully regenerated using 0.01 M sodium hydroxide (NaOH) solution for up to 5 consecutive cycles, while maintaining high adsorption ability of 98% even after the 5th cycle.
In this study, peat was selected as an adsorbent for brilliant green (BG) in wastewater. BG, structure shown in Fig. 1, is a triarylmethane cationic dye and in dry form is an odourless yellowish-green solid powder. It is commonly used as a biological stain, dermatological agent, veterinary medicine, and as an additive to poultry to prevent mould, intestinal parasites and fungus.11 BG is also used as an indicator which changes color from yellow to green at pH 2.6.12 Human contact with BG might cause irritation to human gastrointestinal tract, respiratory tract, nausea, vomiting, diarrhoea, causing coughing and shortness of breath. BG can also cause skin irritation which in turn might cause redness and pain to human.11,13
In Brunei Darussalam, it is reported that approximately 100000 ha (18%) of land area is made up of peat soils and is mostly untouched.14,15 Peat is a dark brown soil and is made up of vegetative remains of the partial decomposition of leaves, plants, tress or mosses. As peat soil in Brunei Darussalam is low cost and easily available, its adsorption properties on BG were explored in this research. To date, no study has been reported on the use of peat to remove BG. Parameters such as contact time and pH were determined for the most efficient removal of the dye. The pH of dye solutions is an important parameter to be considered in an adsorption process because many reactions, such as ionization, protonation, dissociation of functional groups on the active sites of the adsorbent are pH dependent.13,16,17 Various salts present in dye wastewater often lead to high ionic strength and could affect the adsorption capacity of an adsorbent. Therefore, there is a need to study the effect of ionic strength on the adsorption of BG on peat. Equilibrium studies were carried out by comparing the adsorption data with isotherm models, such Langmuir, Freundlich, Halsey, Temkin, Redlich–Peterson (R–P) and Sips by using linear and non-linear functions. Determination of various error functions was performed to identify the isotherm model with the best precision. Kinetics studies of BG were examined by using pseudo first order, pseudo second order, Elovich, intraparticle diffusion and Boyd models.
Dye-loaded adsorbents are of no use after adsorption and are either discarded in landfill or incinerated. Both ways are not economical and could be hazardous, toxic, flammable or even explosive if incinerated. Therefore, it is more economical to reuse the dye-saturated adsorbent through regeneration. This in turn will reduce the cost of disposal and subsequently minimize the cost for adsorbent treatment. A superb adsorbent should not only have high adsorption capacity but also high reusable ability which could be recycled or regenerated for various cycles at the same time maintaining its high dye removal capacity. Finally, BG-loaded peat was regenerated using various solvents for the determination of its reusability as a spent adsorbent.
Langmuir isotherm model also showed that the feasibility of adsorption is based on the dimensionless adsorption intensity (RL)19 value given in eqn (1):
![]() | (1) |
Freundlich isotherm20 is an empirical equation which provides the relationship between the adsorption of peat and the equilibrium concentration of the dye based on multilayer adsorption. The value of kF (mmol g−1) represents the Freundlich isotherm constant describing the amount of dye adsorbed on the adsorbent at equilibrium stage, while n is related to the adsorption intensity of an adsorption process.
Halsey isotherm21 model was applied to provide better insight on the multilayer adsorption of adsorbate on adsorbent.
Temkin isotherm22 assumes the heat of adsorption decreases linearly with the coverage due to the adsorbate–adsorbent interactions and the adsorption is characterized by uniform distribution of binding energies (up to some maximum binding energies). kT is the equilibrium binding constant (L mmol−1) corresponding to the maximum binding energy, constant B is related to the heat of adsorption, R is gas constant (8.314 J mol−1 K−1) and T is absolute temperature at 298 K.
Redlich–Peterson (R–P) isotherm23 is another three parameters isotherm, which combines both Langmuir and Freundlich equations, in which the mechanism of adsorption is a hybrid and does not follow ideal monolayer adsorption. The equation reduces to Freundlich isotherm at high concentration and reduces to Henry's equation at low concentration. R–P isotherm constants are obtained by maximizing the R2 value of the linear plot, ln[kR(Ce/qe) − 1] vs. lnCe through kR, using Microsoft Excel. kR (L g−1) and aR (L mmol−1) represent the R–P isotherm constants and g is the exponent lies between 0 and 1.
Sips isotherm24 is a three parameter isotherm model, combining both Langmuir and Freundlich isotherms. At low dye concentrations, it reduces to Freundlich isotherm and at high dye concentration, the equation turned to Langmuir isotherm, predicting a monolayer adsorption.
Table 1 lists standard equations and linearized forms of the six isotherms. Five different error functions, namely average relative error (ARE), sum square error (ERRSQ), hybrid fractional error function (HYBRID), sum of absolute error (EABS), Marquardt's percent standard deviation (MPSD) and Non-linear chi-square test (χ2) of non-linear regression used in this study are given in Table 2.
Type of errors | Equations |
---|---|
a qe,calc and qe,meas are the calculated and measured adsorption capacity; n is the number of data points; p is the number of parameters. | |
Average relative error (ARE) | ![]() |
Sum square error (ERRSQ) | ![]() |
Hybrid fractional error function (HYBRID) | ![]() |
Sum of absolute error (EABS) | ![]() |
Marquardt's percent standard deviation (MPSD) | ![]() |
Non-linear chi-square test (χ2) | ![]() |
Kinetics models such as pseudo first order,25 pseudo second order,26 Elovich,27 Weber–Morris intraparticle diffusion28 and Boyd15 models were used to investigate the mechanism of adsorption system in this study. The kinetics equations are summarized in Table 3, where qe and qt (mmol g−1) are the amount of dye or heavy metal adsorbed at equilibrium and time (t), k1 (min−1), k2 (g mmol−1 min−1) and kid (mg g−1 min−1/2) are the rate constants of pseudo first order, pseudo second order and intraparticle diffusion models. α (mmol g−1 min−1) is the initial sorption rate constant (rate of chemisorption) and β (g mmol−1) is related to surface coverage (desorption constant) for Elovich model. C value for intraparticle diffusion model represents the thickness of the boundary layer effect.
The UV-absorbance of dye solution was measured using Ultraviolet-Visible (UV-Vis) spectrophotometer (Shimadzu/Model UV-1601PC). Fourier transform infra-red (FTIR) spectrophotometer (Shimadzu Model IRPrestige-21) was used to determine the functional groups present in the sample. Morphological characteristics of adsorbent surface were carried out using Tescan Vega XMU Scanning Electron Microscope (SEM) operated at 20 kV accelerated voltage, and SPI-MODULETM Sputter Coater was used to coat the adsorbent.
Surface chemistry of peat was determined by the point of zero charge (pHpzc) using the solid addition method.30 Solutions of different pHs were prepared in 0.1 M KNO3 solution, adjusting its pH at 2, 4, 6, 8, 10 and 12 using 0.1 M HNO3 and 0.1 M NaOH. KNO3 solution (25.0 mL) at each pH was then separately mixed with a pre-weighed peat sample (0.050 g). The solutions were agitated on an orbital shaker at 250 rpm for 24 h at room temperature and the final pH was recorded using a pH meter. A graph of ΔpH(pHfinal − pHinitial) against pHinitial was plotted where pHpzc of peat was taken as the point that passes through the x-axis.
Optimum contact time was obtained by shaking the mixture at different time ranging from 30 to 240 min. Effect of pH was studied by using the pre-determined contact time periods. For this purpose, pHs of peat-dye suspensions were adjusted by drop wise addition of 0.1 M HNO3 and 0.1 M NaOH solution at different pH values between 2 and 10. Each solution was filtered using fine metal sieve and the filtrate was analyzed.
The mass of adsorbed dye molecules per unit mass (g) of solid at the equilibrium state, qe (mmol g−1) was calculated using the eqn (2):
![]() | (2) |
The percentage removal (%) of BG was calculated using eqn (3).
![]() | (3) |
The effect of ionic strength was carried out using different concentrations of KNO3 solutions ranging from 0.01 M to 1.0 M mixed with BG solution of 100 mg L−1. Peat (0.050 g) was treated with each of the KNO3 solutions and shaken for optimum contact at room temperature. The mixture was then filtered and the filtrate was analyzed for remaining dye concentration.
Element | Concentration (%) | |
---|---|---|
Peat | BG-loaded peat | |
O | 34.95 | 28.28 |
Fe | 20.16 | 28.18 |
Zn | 19.01 | 32.85 |
Si | 10.74 | 2.08 |
Ca | 6.36 | 2.95 |
Al | 2.03 | 0.63 |
S | 1.96 | 1.78 |
Ru | 1.41 | 1.77 |
K | 0.87 | 0.12 |
P | 0.76 | 0.51 |
Cl | 0.65 | 0.46 |
Mg | 0.5 | 0.16 |
Na | 0.47 | — |
Br | 0.09 | 0.18 |
Sr | — | 0.07 |
After adsorption with BG, great reduction was seen for Ca (6.36 to 2.95%) and Si (10.74 to 2.08%), while the elements Al, Cl, K, Mg, P and S showed little decrease after BG adsorption. Such decrease could be due to metal replacement. Previous reports have attributed decrease in metal ions after adsorption process as a result of replacement by adsorbates such as cationic dyes.4,5,15 On the other hand, the element Zn increased after dye adsorption and explanation to this finding is currently beyond the scope of this work. However, similar observations have been reported where an increase in Zn after adsorption process was observed for adsorbents such as Stenochlaena palustris (Burm.f.) Bedd31 and Artocarpus camansi.32
The point of zero charge (pHpzc) is the pH at which there is no net charge on the surface of the adsorbent.34 The pHpzc of peat is determined to be 2.80 from the plot of ΔpH vs. pHinitial (Fig. 2), indicating that at pH < 2.80, the surface of the peat would be positively charged and at pH > 2.80, it would be negatively charged. The pHpzc of peat experimentally determined in this research is similar to that of algal biomass,35 which also has a high organic matter content. Above the pHpzc, the pH of the peat suspension if greater than the initial pH, suggesting that there is a tendency for the peat surface to become negatively charged with exposed hydroxyl groups, promoting the adsorption of cationic dyes, such as BG. However, this trend is altered after pH = 8, probably due to the denaturing effect of peat at high basic values.
![]() | ||
Fig. 3 Effect of shaking time (♦) on the adsorption of BG on peat (355 μm < d < 850 μm; concentration of dye: 10 mg L−1; mass of peat: 0.050 g; volume of solution: 25.0 mL). |
Rapid adsorption at the initial stage is due to the availability of large amount of surface sites for adsorption, resulting in BG molecules being adsorbed onto the external surface of peat through boundary layer adsorption.36 As the contact time increases, the surface of peat gets saturated. Hence, there is limited number of surface sites available for dye adsorption, due to the presence of some repulsive forces forming between BG molecules on the surface of peat and BG molecules present in the solution.11,13 In the second stage, BG molecules diffused deeper into the micropores of peat, which makes the process slower, thereby BG molecule is aggregated at higher contact time.11 Therefore, the optimum adsorption equilibrium for peat – dye system is established at a contact period of 2.0 h.
The contact time of for the removal of BG molecules on other natural adsorbents such as Citrus limetta peel (4 h),37 rice husk ash (5 h),16 bottom ash (6 h),12 deoiled soya (6 h)12 and Saklikent mud (6 h),38 are longer than that of peat, indicating that peat is efficient for dye removal if applied in real life wastewater treatment.
The effect of solution pH on BG adsorption can be partially explained using the information of pHpzc of peat (2.80) and pKa (4.93 and 2.62) values of BG, which are related to the ionization of the dye functional groups.40 When pH is decreased from 4 to 2, the fact that pH < pHpzc = 2.80, leads to the competition of H+ ions with bulky BG molecules for limited surface sites causing the reduction in dye removal. Increase in the extent of removal when pH is increased is due to the opposite effect as pH > pHpzc leads to negative charges on the surface of the adsorbent, promoting uptake of cationic dyes and the dye cations are positively charged when pH > pKa. Little decrease observed at pH = 10 (95%) can be attributed to high OH− concentration which would inhibit the dye to adsorb onto the peat surface as was reported for other dyes with Arundo donax root41 and Citrus limetta peel.37
Effect of pH was carried out by adjusting BG solution pH from 3 to 10 and 98 to 99% removal of the dyes was obtained between 4 and 9 as shown in Fig. 5. Because the ambient pH at 4.9 leads to the maximum removal of 99% under the experimental conditions employed, no adjustment to pH is recommended for the adsorption study. A similar result17 was found for the removal of BG by white rice husk ask, where no adjustments of pH were needed.
Thermodynamic parameters such as Gibbs free energy (ΔG°), enthalpy change (ΔH°) and entropy change (ΔS°) were estimated for BG adsorption on peat. ΔG° values at different temperatures ranging 298 to 344 K were calculated using eqn (4),
ΔG° = −RT![]() ![]() | (4) |
![]() | (5) |
Enthalpy (ΔH°) and entropy (ΔS°) values of BG on peat was determined from slope (−ΔH°/R) and intercept (ΔS°/R) of the plot of lnKc vs. 1/T (Fig. 6). The calculated parameters are given in Table 6.
T (K) | ΔG° (kJ mol−1) | ΔS° (J mol−1 K−1) | ΔH° (kJ mol−1) |
---|---|---|---|
298 | −4.8 | 175.7 | 47.0 |
314 | −8.9 | ||
324 | −10.7 | ||
334 | −11.0 | ||
344 | −13.2 |
The negative values of ΔG° indicated that the adsorption process of BG on peat is spontaneous and feasible within the temperature range of investigation. Further having ΔG° between 0 to −20 kJ mol−1 signifies that the adsorption of BG on peat is a physisorption process, similar to the adsorption of BG on red clay43 and basic dye using Luffa cylindrical.44 Positive value of ΔH° (47.0 kJ mol−1) indicates that the reaction is endothermic. Having ΔH° > 8 kJ mol−1, also verifies that the adsorption of BG on peat is a physical process.13,43 This is also supported by the increase of dye uptake (100 mg L−1 BG: 88 to 99%) with the rise of solution temperature (298 to 344 K), which further supports the endothermic behavior described earlier.
![]() | ||
Fig. 8 Adsorption isotherm of BG by peat at 298 K (355μm < d < 850 μm; mass of peat: 0.050 g; volume of solution: 25.0 mL). |
Isotherm parameters calculated from its linear plot are shown in Table 7. High R2 (0.92) showed that the Langmuir isotherm model fitted well to the adsorption process between BG and peat, obtaining a maximum adsorption capacity (qmax) of 0.55 mmol g−1 (265.47 mg g−1). The RL values calculated for the adsorption of BG for many concentrations lie between 0 and 1, suggesting the adsorption of BG on the surface of peat was favorable.
Model | Parameter | |
---|---|---|
Langmuir | qmax (mmol g−1) | 0.55 |
kL (L mmol−1) | 0.02 | |
R2 | 0.92 | |
Freundlich | kF (mmol g−1) | 0.04 |
n | 2.52 | |
1/n | 0.40 | |
R2 | 0.99 | |
Halsey | n | 2.52 |
kH (L mmol−1) | 0.0003 | |
R2 | 0.99 | |
Temkin | kT (L mmol−1) | 0.62 |
bT (J mol−1) | 32![]() |
|
R2 | 0.86 | |
R–P | kR (L g−1) | 8.00 |
g | 0.60 | |
aR (L mg−1) | 200.31 | |
R2 | 0.99 | |
Sips | qmax (mmol g−1) | 1.00 |
kS (L mmol−1) | 0.04 | |
n | 1.98 | |
1/n | 0.51 | |
R2 | 0.96 |
According to the adsorption data in Table 7, the Freundlich isotherm model also fits well (R2 = 0.99) to the adsorption data, having n > 1, indicating a favorable adsorption. The surface heterogeneity of an adsorbent is represented by using 1/n value, in which the adsorption is considered favorable and heterogeneous when the value of 1/n lies between 0 and 1, the adsorption is homogenous in which there is no interaction among the adsorbed species when 1/n = 1 and the adsorption is unfavorable when 1/n > 1.46 In this case, the value of 1/n is 0.40; this value implies only 40% of active adsorption sites having equal energy level, indicating that there is a possibility of multilayer adsorption of BG on the heterogeneous sites of peat.47 As implied by Mane and Babu,11 1/n = 0.40 implied that there are 40% of active adsorption sites having equal energy level. Hence, the surface heterogeneity of peat could be due to the presence of different types of cations, surface charges and crystal edges on peat.48
Similar to the Freundlich isotherm model, the Halsey isotherm model also fits well to the adsorption data (R2 = 0.99), signifying that BG follows multilayer adsorption on peat. This phenomenon is further confirmed by evaluating the coverage factor,43,49 which is the fraction of the peat surface covered by BG molecules, using eqn (6) and (7).
![]() | (6) |
![]() | (7) |
Low R2 values for Temkin (0.86) isotherm model indicates that this adsorption model was not suitable to fit to the experimental data. Linear plot of R–P model showed the best fit (R2 = 0.99) for the adsorption of BG on peat compared to Langmuir, Freundlich, Halsey, Temkin isotherm models. The g value (0.60) falls between 0 and 1, suggesting that BG adsorption on peat is favorable and physiosorptive16 and suggesting that the adsorption of BG on peat was favored towards Freundlich instead of Langmuir. This also implies that the sorption of BG on peat is not monolayer, but possibly by complexation or ion-exchange interaction between peat and dye molecules. The order of isotherm models is explained in the following order: R–P (0.99), Freundlich and Halsey (0.98), Sips (0.96), Langmuir (0.92) and Temkin (0.86), based on R2 values. This trend was found to be similar to red clay,43 modified mesoporous clay,47 sugarcane dust50 and NaOH treated saw dust.11
The simulated isotherm plot for the adsorption of BG on peat is shown in Fig. 9 for the determination of the best fit isotherm models. The error values calculated from error functions are listed in Table 8.
![]() | ||
Fig. 9 Different isotherm models for adsorption of BG peat at 298 K (355 μm < d < 850 μm; concentration of dye: 0 to 1000 mg L−1; mass of peat: 0.050 g; volume of solution: 25.0 mL). |
Isotherms | R2 | ARE | ERRSQ | HYBRID | EABS | MPSD | χ2 |
---|---|---|---|---|---|---|---|
Langmuir | 0.92 | 31.61 | 0.06 | 1.98 | 0.83 | 42.77 | 0.28 |
Freundlich | 0.99 | 9.05 | 0.02 | 0.31 | 0.38 | 11.38 | 0.11 |
Halsey | 0.99 | 9.05 | 0.02 | 0.31 | 0.38 | 11.16 | 0.11 |
Temkin | 0.86 | 49.31 | 0.08 | 4.77 | 0.99 | 94.78 | 0.57 |
R–P | 0.99 | 9.10 | 0.02 | 0.33 | 0.38 | 11.85 | 0.11 |
Sips | 0.96 | 12.90 | 0.03 | 0.61 | 0.49 | 17.46 | 0.11 |
The Freundlich, Halsey and R–P appeared to fit the data best, with high R2 and the lowest error function values. From the linear plots, R–P isotherm has the highest R2 value (0.99) compared to Freundlich (0.99) and Halsey (0.99) isotherms. Besides high R2 values, lowest error values were found for Freundlich and Halsey isotherms. Similar error values were found for R–P isotherm. Alternatively, the experimental data in Fig. 9 fitted very well with the calculated Freundlich, Halsey and R–P isotherms. Of all the isotherms, Temkin model did not fit the experimental data due to low R2 values together with high ARE, ERRSQ, HYBRID, EABS, MPSD and χ2 values for the adsorption of BG on peat. Both Langmuir and Sips isotherms have slightly higher R2 values of 0.92 and 0.96, respectively. However, the error values calculated for both Langmuir and Sips were also very high when compared with the error values of Freundlich, Halsey and R–P isotherms. Therefore, with respect to the R2 values, based on the error values and simulated isotherms, the suitable isotherm models to represent the adsorption data of BG on peat are Freundlich, Halsey and R–P isotherm models.
The maximum adsorption capacities (qmax) of BG by various reported adsorbents are listed in Table 9. Generally, the qmax of peat with BG are higher compared to some natural adsorbents as well as some of the activated carbon, indicating peat is suitable to be used as an effective low cost adsorbent in real life wastewater treatment.
Adsorbent | qmax (mg g−1) | Isotherm model | Temperature (K) | References |
---|---|---|---|---|
Damit peat | 265.4 | Langmuir | 298 | This work |
Ashoka leaf powder | 125.0 | Langmuir | 298 | 34 |
Kaolin | 65.4 | Langmuir | 299 | 13 |
Rice husk ash | 25.1 | Langmuir | 303 | 16 |
Waste brewery's yeast | 141.9 | Langmuir | 303 | 51 |
Binary oxidized cactus fruit peel | 166.7 | Langmuir | 293 | 39 |
Acorn activated carbon | 2.1 | Langmuir | 303 | 40 |
Saklikent mud | 1.2 | Langmuir | 298 | 38 |
Neem leaf powder | 133.6 | Langmuir | 300 | 52 |
NaOH treated saw dust | 58.5 | Langmuir | 303 | 11 |
![]() | ||
Fig. 10 Scanning electron microscope (SEM) micrographs of peat (a) before adsorption and (b) after adsorption with BG at 1000× magnification. |
Pseudo first order | BG |
---|---|
qe,exp (mmol g−1) | 0.28 |
qe,calc (mmol g−1) | 0.16 |
k1 (min−1) | 0.03 |
R2 | 0.98 |
Pseudo second order | |
qe,calc (mmol g−1) | 0.27 |
k2 (g mmol−1 min−1) | 0.39 |
h (mmol g−1 min−1) | 0.03 |
R2 | 0.99 |
Elovich | |
α (mmol g−1 min−1) | 0.34 |
β (mmol g−1) | 29.16 |
R2 | 0.81 |
Intraparticle diffusion | |
C | 0.10 |
kid (mmol g−1 min−1) | 0.02 |
R2 | 0.94 |
In order to determine the best fit kinetics model to describe the sorption process of BG on peat, comparison of R2 values (Table 10) showed that pseudo second order model gave the best R2 (0.99), suggesting that this model provides a better correlation for the adsorption of BG on peat. In addition, the qe,calc value (0.27 mmol g−1) fitted very well with its qe,exp value (0.28 mmol g−1), further confirming the suitability and validity of the pseudo second order model for the adsorption process for BG on Damit peat. The initial adsorption rate, h (mmol g−1 min−1) is 0.03 mmol g−1 min−1 and the rate constant, k2, is 0.39 g mmol−1 min−1. The rate of adsorption, k2, for the adsorption of BG on peat was high, indicating that less time is required to reach equilibrium, which is cost beneficial if applied in real life wastewater treatment.
Therefore, Elovich kinetics model which assumes the solid surface active sites are heterogeneous in nature and exhibit different activation energies for chemisorption is applied to provide better understanding on the adsorption process. The rate of chemisorption and the available adsorption surface (α) for the sorption of BG on peat is 0.34 mmol g−1 min−1, while the surface coverage (β) of peat is 29 mmol g−1.
Intraparticle diffusion and Boyd kinetics expression were both applied to identify whether the adsorption mechanism is particle diffusion or film diffusion. Particle diffusion indicates that the adsorbate transport within the pores of the solid adsorbent while film diffusion is to the external surface of adsorbent. The intraparticle diffusion plot (Fig. 12) did not pass through the origin, suggesting that this could control the overall rate of the adsorption process. The thickness of the boundary layer (C) is 0.10, indicating that the surface adsorption and intraparticle diffusion along the boundary layer diffusion were simultaneously operating during the adsorption of BG on peat.
The kinetics data was fitted into Boyd kinetics expression15 to provide information on the actual slow step involved in adsorption. The equation is given in eqn (8).
![]() | (8) |
![]() | (9) |
Rearranging the eqn (8) gives:
![]() | (10) |
Bt = −0.4977 − In(1 − F) | (11) |
The Bt values at different time, t were calculated and a plot of Bt vs. t for the adsorption of BG on peat in Fig. 13 gave linear plots with high R2 value (0.98). According to Fig. 13, the plot gives a straight line passing through the origin, indicating that the adsorption process is governed by intraparticle diffusion mechanism according to the mathematical relationship given in Table 3.
The effective diffusion coefficient, Di (cm2 s−1) is calculated using eqn (12).
![]() | (12) |
![]() | ||
Fig. 14 Regeneration of BG-loaded peat adsorbent using control, water, 0.1 M HNO3, 0.01 M NaOH for 5 consecutive cycles. |
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