Yunhai Wu*ab,
Meili Zhangb,
Huaiyang Zhaob,
Shengxin Yangb and
Aynigar Arkinb
aKey Laboratory of Integrated Regulation and Resources Development of Shallow Lakes, Ministry of Education, Hohai University, 1st Xikang Road, Nanjing 210098, China. E-mail: smilehhu@sina.com; Fax: +86-25-83786697; Tel: +86-25-83786697
bCollege of Environment, Hohai University, 1st Xikang Road, Nanjing 210098, China
First published on 6th November 2014
Adsorption of two representative anionic dyes (Acid Fuchsine (AF) and Acid Orange II (AO)) using MCM-41 functionalized with amine groups in a mesoporous silica framework (NH2–MCM-41) as the adsorbent was investigated. Characterization of the modified adsorbent was studied by BET, FTIR, XRD and SEM. Various parameters including solution pH, adsorbent dosage, contact time, initial dye concentration and temperature were systematically studied. The results showed that the adsorption process was pH dependent, and the maximum adsorption capacity for AF was approximately 140.60 mg g−1 at pH 2.0 and 25 °C with a NH2–MCM-41 dosage of 2.0 g L−1, and 278.38 mg g−1 for AO at pH 3.0. In single component systems, equilibrium data fitted well the Langmuir and D–R models, suggesting the adsorption to be monolayer and physical in nature. Kinetic studies showed that the adsorption process could be better described by both the Lagergren pseudo-second-order and the Spahn and Schlunder models. Moreover, it was found that the adsorption was governed by film diffusion followed by intraparticle diffusion. Thermodynamic constant values (ΔGo < 0, ΔHo < 0 and ΔSo < 0) demonstrated that the adsorption reactions of AF and AO onto NH2–MCM-41 were feasible, spontaneous and exothermic under the examined conditions. For binary component systems, AF and AO exhibited competitive adsorption onto NH2–MCM-41, and adsorption capacity values of AF and AO were reduced compared to those of the corresponding single component systems. Furthermore, both in single and binary component systems, the experimental data could be better described by the Langmuir isotherm and the pseudo-second-order kinetic models.
A great number of conventional methodologies for treating dye-containing wastewaters with varying degrees of advantage have been applied, such as chemical coagulation,10,11 flocculation,12 oxidation,10,13,14 ion exchange,15 irradiation,16,17 filtration,10,11,18 sedimentation,12 solvent extraction,16,17 reverse osmosis,11 biological treatment,11,19 photocatalytic degradation,20–22 electrochemical treatment10,13,23 and adsorption.10,15,24 Among the various methods presented above, the adsorption process appears to be a successful efficient alternative in terms of its simplicity, low cost, ease of operation, flexibility, minimum sludge production and insensitivity to specific toxic substances.12,25–27
Adsorption behavior depends heavily on the nature of the adsorbent, especially its porosity and surface area.28,29 Commonly used adsorbents for dye removal include activated carbon, naturally occurring materials (i.e., clay, gypsum and bentonite), synthetic polymer (i.e., cyclodextrin), agrowaste materials (i.e., sawdust, wood and rice husk), industrial waste (i.e., carbon nanotubes, fly ash and sludge), activated carbon from agrowaste materials (i.e., coconut shell, rice husk and cassava peel), and biosorbents (i.e., Aspergillus niger and Spirodela polyrrhiza).17
In the past two decades, ordered mesoporous silica structures have been proposed as dye adsorbents.30 Derivatization of the mesoporous silica surface with organofunctional groups (i.e., amino, diamino, triamino, malonamide, carboxyl, dithiocarbamate, humic acid and imidazole) provides easy access to modulation of their properties so as to suit those of the adsorbates or achieve specific purposes, which has attracted much attention for promising adsorbents with enhanced binding affinity for dye molecules.31–33 Recently, a series of amine-functionalized mesoporous materials with large surface area, highly ordered structure and controlled pore diameter was synthesized.34 In addition, amine-functionalized MCM-41 has been successfully employed to eliminate traces of toxic heavy metal from wastewater.35,36
Thus, the present work was devoted to researching the ability to remove organic anionic dye molecules containing sulfonic groups via the application of the modified mesoporous silica material MCM-41. Our purpose was to investigate the adsorption behavior of two basic anionic dyes, namely Acid Fuchsine (AF) and Acid Orange II (AO), in aqueous solutions, by synthesizing MCM-41 incorporated with amine groups (NH2–MCM-41) as the adsorbent and evaluating the effects of some independent parameters (solution pH, adsorbent dosage, contact time, initial dye concentration and temperature) on adsorptive removal performance. In addition, the equilibrium isotherms, adsorption kinetics and thermodynamics were analyzed to determine the adsorption mechanism. In addition, a binary dye adsorption investigation was conducted and was modelled with some empirical adsorption isotherm and kinetic models.
The obtained NH2–MCM-41 adsorbent was characterized by using different methods. The Quantachrome Autosorb-I Physical Model was used to determine the Brunauer–Emmett–Teller (BET, MICROMERITICS, ASAP 2010, USA) surface area, total pore volume and mean pore radius. In addition, the surface morphology of MCM-41 before and after amine functionalization was visualized by Scanning Electron Microscopy (SEM, JEOL, JSM-5600V, Japan), which enables the direct observation of the changes in the microstructures of the adsorbents’ surface due to the modification process. In order to find out whether –NH2 had been grafted onto MCM-41 successfully, Fourier Transform Infrared Spectroscopy (FTIR, JASCO 5300) was employed to observe qualitative identification of functional groups on the surface of the modified adsorbent, the spectra of which were in the range of 500–4000 cm−1. Powder X-ray diffraction (XRD) measurements for the adsorbent before and after modification as well as adsorption were performed with an X-ray diffractometer (ARL Corporation, Switzerland) instrument using Cu-Kα radiation at 40 kV and 40 mA in a 2θ range of 0–50°.
The impact of adsorbent dosage on adsorption, at the optimum pH (AF: 3.0, AO: 2.0), was determined by adding adsorbent in the range of 0.05–0.5 g. After being agitated on a shaker at 180 rpm and 25 °C for 4 hours, samples were filtered and analysed.
Moreover, samples collected at 30, 60, 120, 180, 240 and 300 min were measured so as to explore the influence of contact time on adsorption. The study of the effect of the initial dye concentration was conducted by diluting each dye solution of 300 mg L−1 into 20, 50, 100, 150, 200 and 250 mg L−1 separately.
For the binary component systems, the experiments were conducted under conditions of 25 °C, pH 2.0 and at a NH2–MCM-41 dosage of 2.0 g L−1. As for the adsorption isotherms, initial concentrations of the dyes were within the range of 100–300 mg L−1, and samples were filtered and measured after 4 hours. For the kinetic study, the initial concentration and volume of both of the two dyes were 100 mg L−1 and 50 mL respectively, and samples were collected and analysed at 30, 60, 120, 180, 240, 300, 360 min in sequence.
The adsorptive removal efficiency (η) was determined according to the following equation:
![]() | (1) |
Dye uptake (qe) was calculated by the equation below:
![]() | (2) |
In addition, all the other chemicals used in this work were of analytical grade, and the data were the mean values of two replicate determinations. All glassware was cleaned several times and rinsed with distilled water.
After amine functionalization, two adsorption peaks at 2936 cm−1 and 1562 cm−1 occurred, demonstrating that –NH2 groups had been already grafted on the surface of MCM-41, in agreement with the results of 3.1.1. Moreover, the peaks around 3445 cm−1 and 1635 cm−1 decreased, which depicts that most O–H stretching bonds were replaced with –CH2 groups. After AF and AO loading onto NH2–MCM-41, the FTIR spectrum showed no visible change except a fluctuant increase appeared in the range of 1250–1750 cm−1, which could be ascribed to the bending vibrations of adsorbed water molecules and N–H groups, suggesting the maintenance of relatively intact stability of the mesoporous NH2–MCM-41 after adsorbing AF and AO dye molecules.
Adsorbent | Anionic dye | pH | Temperature (°C) | Maximum adsorption capacity (mg g−1) | References |
---|---|---|---|---|---|
Guava seed carbon | Acid Orange 7 | 6.0 | 25 | 0.63 | 42 |
Guava seed carbon | Acid Orange 8 | 6.0 | 25 | 0.91 | 42 |
Guava seed carbon | Acid Orange 10 | 6.0 | 25 | 0.10 | 42 |
Guava seed carbon | Acid Red 1 | 6.0 | 25 | 0.33 | 42 |
Guava seed carbon | Acid Blue 80 | 6.0 | 25 | 1.13 | 42 |
Guava seed carbon | Acid Blue 324 | 6.0 | 25 | 1.09 | 42 |
Guava seed carbon | Acid Green 25 | 6.0 | 25 | 1.16 | 42 |
Guava seed carbon | Acid Green 27 | 6.0 | 25 | 1.32 | 42 |
Mixture almond shells | Direct Red 80 | 6.0 | 20 ± 1 | 22.422 | 43 |
Powdered peanut hull | Sunset Yellow | 2.0 | 20 ± 2 | 13.99 | 44 |
Powdered peanut hull | Amaranth | 2.0 | 20 ± 2 | 14.90 | 44 |
Powdered peanut hull | Fast Green FCF | 2.0 | 20 ± 2 | 15.60 | 44 |
Coir pith activated carbon | Reactive Orange 12 | 3.0 | 20 | 16.67 | 45 |
Coir pith activated carbon | Reactive Red 12 | 3.0 | 20 | 16.67 | 45 |
Coir pith activated carbon | Congo Red | 6.0 | 23 | 6.107 | 46 |
Fungus Aspergillus niger | Congo Red | 6.0 | 23 | 14.72 | 47 |
MCM-41 | Acid Red 1 | 5.0 | 25 | 0.6 × 10−4 | 37 |
MCM-41 | Erioglaucine | 2.0 | 25 | 1.0 × 10−4 | 37 |
Al-MCM-41 | Acid Yellow 49 | 10.0 | 24 | 46.00 | 33 |
NH2-MCM-41 | Acid Fuchsine | 3.0 | 25 | 140.60 | Present study |
NH2-MCM-41 | Acid Orange II | 2.0 | 25 | 278.38 | Present study |
Among the numerous different modification methods of MCM-41 aiming to enhance adsorption capacity and selectivity to some specific contaminants, surface functionalization may be quite an effective way that makes great use of the special interaction between the adsorbents and adsorbates.48,49 Hence, it is necessary and meaningful to remove anionic dyes using amine functionalization MCM-41 in this work.
![]() | ||
Fig. 2 Effect of pH on adsorption of AF and AO in single component systems. (a) AF, (b) AO (conditions: 25 °C, dye concentration 100 mg L−1, NH2–MCM-41 dosage 1.0 g L−1). |
In aqueous solution, sulfonate groups in anionic dyes dissociate and transfer into –SO3−. A lot of hydrogen ions exist in solutions of low pH, resulting in the surface of NH2–MCM-41 becoming positively charged (–NH3+) due to protonation. Then, the protonated NH2–MCM-41 adsorbs a large number of negatively charged anionic dyes in the solution as a result of electrostatic attraction. As pH increases, the available positively charged adsorption sites on the surface of NH2–MCM-41 subsequently decrease. Meanwhile, negatively charged sites on the surface of the adsorbents became more and more, leading to much fewer anionic dye molecules being adsorbed onto the adsorbent on account of electrostatic repulsion. Simultaneously, a large amount of hydroxide ions exist in alkaline aqueous solution, inducing the competitive behavior for available adsorption sites, in accordance with Anbia and Salehi.51
Electrostatic attraction is the primary mechanism during the adsorption process of AF and AO onto NH2–MCM-41. The dissociation of anionic dye molecules and their combination with NH2–MCM-41 in an acid medium are proposed in Fig. 3.
![]() | ||
Fig. 3 Schematic illustration of the adsorption reactions in aqueous solutions. D: the remaining fractions of the two dye molecules (for AF, the molecular formula of the remaining fraction is C20H17N3O3S, and for AO, the moleular formula of the remaining part is C16H11N2O, both of whose molecular structure can be seen from Fig. S1 (ESI†)). M: the MCM-41 part of NH2-MCM-41. |
![]() | ||
Fig. 4 Effect of NH2–MCM-41 dosage on adsorption of anionic dyes in single component systems. (a) AF, (b) AO (conditions: pH 3.0 for AF and 2.0 for AO, 25 °C, dye concentration 100 mg L−1). |
More adsorbent dosage into the solution renders larger adsorptive contacting surface area between the adsorbent and adsorbates, as well as more active adsorption sites for the anionic dye molecules, therefore resulting in a higher adsorptive removal ratio. With other conditions unchanged, increasing adsorbent dosage appropriately may benefit the adsorptive removal efficiency of contaminants.52,53
During the initial adsorption process, vast adsorbents existed in the aqueous solution, boosting the adsorption rate greatly. However, the adsorption rates dropped afterwards, which could be attributed to the electrostatic repulsion between the two anionic dyes adsorbed on the surface of NH2–MCM-41 and the remaining dyes with the same negative charge in the aqueous solution. Furthermore, when surface available sites of the adsorbent had been mostly covered with the anionic dyes, the diffusion rate of dye molecules into the inner space of NH2–MCM-41 became slower, leading to a limit of the extent of adsorption.
![]() | ||
Fig. 6 Effect of initial dye concentration on adsorption of anionic dyes in single component systems. (a) AF, (b) AO (conditions: pH 3.0 for AF and 2.0 for AO, 25 °C, NH2–MCM-41 dosage 2.0 g L−1). |
The data showed that the percentages of adsorptive removal dropped from 92.54% to 85.67% for AF, and 95.64% to 77.67% for AO, in despite of the increasing adsorption density, which could be explained on the basis of the quantity limit of available active sites on the adsorbent surface. Since a given mass of the adsorbent could just adsorb a finite amount of target dye molecules, the more adsorbent in the effluent, the smaller the extent of adsorbates that a fixed mass of adsorbent can purify.2
In consequence, adequate adsorption sites exist at a relatively low concentration of initial dyes. On the contrary, when the concentration of adsorbate is too high, need for “parking spaces” for dye molecules exceeds the supply of adsorption sites on NH2–MCM-41 adsorbent, thus causing a drop of the adsorptive removal efficiency.54
The Langmuir model is valid for monolayer adsorption onto the surface of adsorbents containing a finite number of identical sites,57 and the linear form of the isotherm can be expressed by the following equation:
![]() | (3) |
The empirical Freundlich model gives an expression encompassing the surface heterogenety and exponential distribution of active sites and their energies,58 which is commonly presented as follows:
qe = KFCe1/n | (4) |
The Dubinin–Radushkevich (D–R) model is more general than the former two because it does not assume a homogenous surface or constant sorption potential,40 and is expressed as below:
ln![]() ![]() | (5) |
![]() | (6) |
![]() | (7) |
The Langmuir, Freundlich and D–R parameters for adsorption of AF and AO onto NH2–MCM-41 are listed in Table 2. The Langmuir and Freundlich isotherm models were found to be well representative, but the values of correlation coefficient (R2) of the Langmuir model were higher than those of the Freundlich model, thus suggesting better description of the adsorption process by the Langmuir model; adsorption to be monolayer on the heterogeneous surface of the adsorbent as well as the existence of constant sorption energy during the experimental periods.59 It can be seen from the data of the Langmuir model in the range of 25–40 °C, the maximum adsorption capacities of AF and AO onto NH2–MCM-41 were up to 140.60 mg g−1 and 278.38 mg g−1 respectively, and then dropped with the increase of temperature. Under the same experimental conditions, the maximum adsorption capacity of AO onto NH2–MCM-41 appeared larger than that of AF, which might be due to the size of AO being smaller than AF, making the resistance lower for the diffusion of AO into inner porous channels of the adsorbent, in turn leading to heavier blocking against the adsorption. The values of R2 were all higher than 0.90, and all the values of n were in the range of 1–3, demonstrating that AF and AO are comparatively easy to be adsorbed onto NH2–MCM-41.60
Dyes | Temperature (°C) | Langmuir | Freundlich | D–R | |||||||
---|---|---|---|---|---|---|---|---|---|---|---|
qm | KL | R2 | KF | n | R2 | Qm | K | R2 | E | ||
AF | 25 | 140.5972 | 0.0576 | 0.9997 | 19.4659 | 2.1663 | 0.9435 | 73.1932 | 0.0886 | 0.6796 | 2.375 |
30 | 134.7778 | 0.0818 | 0.9997 | 17.7329 | 2.1186 | 0.9312 | 71.5876 | 0.1220 | 0.6759 | 2.024 | |
40 | 133.3332 | 0.0932 | 0.9967 | 14.3521 | 1.9480 | 0.9673 | 69.9587 | 0.1684 | 0.6591 | 1.723 | |
AO | 25 | 278.3832 | 0.0156 | 0.9987 | 9.0240 | 1.3785 | 0.9639 | 88.3829 | 0.1576 | 0.7910 | 1.781 |
30 | 224.5360 | 0.0251 | 0.9988 | 7.2514 | 1.3280 | 0.9446 | 88.3351 | 0.2185 | 0.8187 | 1.513 | |
40 | 203.5593 | 0.0357 | 0.9958 | 5.4945 | 1.2388 | 0.9065 | 85.1870 | 0.2671 | 0.7692 | 1.368 |
What is more, the R2 values of the D–R model were lower compared to those of the two models above, indicating that the D–R model might not fit well with the equilibrium experimental data. Seen from Table 2, the mean free energies of adsorption (E) were obtained as 1–5 kJ mol−1 (<8 kJ mol−1), suggesting that the adsorption processes of AF and AO onto NH2–MCM-41 are predominantly physical in nature.61,62
The pseudo-first-order model equation was used for fitting the adsorption of a liquid/solid system based on solid capacity,63 which is expressed as:
![]() | (8) |
The pseudo-second-order model was applied to predict the adsorption behavior during the entire adsorption period and is in accordance with the adsorption mechanism of rate-controlling steps. The pseudo-second-order equation64 based on the equilibrium adsorption is given as:
![]() | (9) |
In order to describe the outer diffusion process of adsorbates to the surface of the adsorbents from the liquid solution, the Spahn and Schlunder model is usually used65,66 whose equation is written as:
ln![]() ![]() | (10) |
The intraparticle diffusion model was applied to investigate whether the adsorption process is controlled by more than one diffusion mechanism, which is very applicable to the inner diffusion of adsorbates inside the adsorbents. The rate constants of the intraparticle diffusion model at different temperatures were determined through the equation as below:67
qt = kp,it0.5 + C | (11) |
The experimental and calculated parameters of the kinetic equations above are summarized in Table 3, and the results of model fitting are shown in Fig. S5 (ESI†). Compared to the Lagergren pseudo-first-order kinetic model, the pseudo-second-order fitted the adsorption data better describing the entire adsorption process and all the values of R2 were greater than 0.998. Moreover, theoretical qe values of AF and AO were 45.23 mg g−1 and 47.09 mg g−1 respectively, highly close to the experimental data (AF: 45.44 mg g−1, AO: 47.45 mg g−1).
Dyes | Pseudo-first-order kinetic model | Pseudo-second-order kinetic model | Spahn and Schlunder model | Intraparticle diffusion model | ||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
k1 | qe | R2 | k2 | qe | R2 | k1 | qe | R2 | k2 | qe | R2 | |
AF | 0.0172 | 3.0027 | 0.9957 | 0.0237 | 45.2318 | 0.9991 | 0.0172 | 3.0027 | 0.9957 | 0.0237 | 45.2318 | 0.9991 |
AO | 0.0102 | 2.8001 | 0.9927 | 0.0993 | 47.0850 | 0.9988 | 0.0102 | 2.8001 | 0.9927 | 0.0993 | 47.0850 | 0.9988 |
As for the adsorption of dye molecules onto NH2–MCM-41, three successive stages might exist:68,69 (1) film diffusion: adsorbates penetrate across the liquid film to the surface of the adsorbent, (2) intraparticle diffusion: most adsorbates diffuse to the pores inside the adsorbent as the adsorbate molecules are bound or anchored with the active adsorption sites on the adsorbent surface, and (3) adsorption: adsorption occurs on the inner surface of the adsorbent. The adsorption rate is usually controlled by the first two stages as a consequence of the adsorption reaction rate on the sorbent surface being far more than the diffusion rate of the adsorbates. In general, film diffusion dominates in the first stage and intraparticle diffusion plays a decisive role when the entire adsorption is almost completed.
In terms of the Spahn and Schlunder model theory (Fig. S5c, ESI†), the relationship between lnCt and t would appear linear on the condition that the diffusion process of dye molecules from the aqueous solution to NH2–MCM-41 has a significant impact on the entire adsorption process. It can be observed from Fig. S5c (ESI†) that obvious linear relationships (R2 = 0.9560 for AF, R2 = 0.8799 for AO) between ln
Ct and t appeared in the initial 120 min and 180 min respectively, certifying that liquid film diffusion played a dominant part in the primary stage of adsorption, and the times needed for liquid film diffusion were 120 min (AF) and 180 min (AO) respectively.
The intraparticle diffusion model fitting demonstrates the existence of at least two stages in the intraparticle diffusion process (Fig. S5d, ESI†). Firstly, adsorbates were bound onto the adsorbent surface instantly, then it was the stage of asymptotic adsorption controlled by the micro-intraparticle diffusion rate. As the intraparticle diffusion rate decreased gradually and eventually approached the equilibrium, the concentration of the remaining dyes in the solution had already become rather low, which constituted the last step. Two straight lines both emerged, standing for the asymptotic adsorption stage and equilibrium state respectively (Fig. S5d, ESI†). What is more, the first stage mentioned above did not show up because of the excessively fast adsorption speed. Table 3 shows that kp,2 > kp,3, which could be attributed to the dye molecules binding with the adsorption sites on the adsorbent surface rapidly in the initial stage, and as the sites approached saturation, dyes starting to diffuse into the inner surface of NH2–MCM-41 and then anchoring to the active sites there. Compared to the first stage, the reaction rate was smaller in the second stage because of the increasing mass transfer resistance. With intraparticle diffusion proceeding, the amount of dye molecules, both in the aqueous solution and on the outer surface of NH2–MCM-41, gradually decreased, and the driving force of intraparticle diffusion dropped at the same time, leading to a falling of adsorption rate and final equilibrium state.70
![]() | (12) |
ΔGo = −RT![]() ![]() | (13) |
![]() | (14) |
The thermodynamic parameters for adsorption of AF and AO at different temperatures are listed in Table 4. As we can see from Table 4, negative ΔGo and ΔHo values exist at conditions of various concentrations of dyes and temperatures, indicating that it is thermodynamically feasible, spontaneous and exothermic for the adsorption of AF and AO onto NH2–MCM-41. The increase of ΔGo values with rising temperature demonstrate a negative influence of temperature on the adsorption reaction. Moreover, negative ΔSo values indicate a reduction of randomness at the solid–liquid interface during the adsorption process.71 Furthermore, the results of adsorption thermodynamics coincide well with equilibrium isotherms in this work, and the optimal reaction temperature was 25 °C.
Dyes | C0 (mg L−1) | ΔHo (kJ mol−1) | ΔSo (J mol−1 K−1) | ΔGo (kJ mol−1) | ||
---|---|---|---|---|---|---|
25 °C | 30 °C | 40 °C | ||||
AF | 100 | −25.212 | −64.719 | −5.948 | −5.290 | −4.967 |
150 | −22.333 | −56.713 | −5.414 | −5.025 | −4.832 | |
200 | −19.162 | −47.334 | −5.217 | −4.775 | −4.605 | |
AO | 100 | −24.287 | −60.628 | −6.903 | −6.713 | −6.181 |
150 | −11.540 | −21.629 | −6.141 | −6.040 | −5.267 | |
200 | −21.451 | −48.748 | −5.127 | −4.935 | −4.788 |
In the case that the amount of adsorbent in the aqueous solution is finite, the same-genre anionic dyes AF and AO would be involved in competition for the available adsorption sites on the surface of the adsorbent. The adsorption capacity of each component in the binary systems is frequently less than that of the single component systems, while different decline in the degree of adsorption capacity might occur in terms of various kinds of dyes.73
Furthermore, as a result of distinctions of the dye’s molecular structure and size, competitive ability for adsorption sites and adsorption capacity of diverse kinds of dyes may differ.74 AO, with smaller size, will mainly defuse into the inner spaces of the adsorbent more easily leading to higher adsorption capacity, hence making AO preponderant in binary component systems.
The adsorption kinetics could be better described by the pseudo-second-order model with higher R2 values (R2 > 0.994) compared to those (R2 > 0.950) of the pseudo-second-order model (Table S2, ESI†), close to ideal values in all cases, and consistent with the results of adsorption kinetics in single component systems, which also suggested that the dye adsorption onto NH2–MCM-41 would be altered in binary component systems.75 In binary component systems, the theoretical qe values of AF and AO were 18.9268 mg g−1 and 20.8688 mg g−1, respectively, while the corresponding values in single systems were up to 45.2318 mg g−1 and 47.0850 mg g−1, which could be attributed to competition for adsorption in the mixture solution.48
It can be seen from Fig. 8c that the linear relations between lnCt and t of both the two anionic dyes could be ascribed to the comparatively higher impact of the diffusion procedure from the liquid phase to the surface of adsorbent in the whole adsorption process in binary component systems. Additionally, two straight lines appeared after the intraparticle diffusion kinetic fitting (Fig. 8d), suggesting the probable existence of at least two steps influencing the rate of adsorption in binary component systems. By comparing the parameters between the binary and single component systems from Tables 3 and S2 (ESI†), the kp,2 value of AF decreased from 4.8327 mg (g−1 min−0.5) to 1.3036 mg (g−1 min−0.5), and from 4.1846 mg (g−1 min−0.5) to 0.9559 mg (g−1 min−0.5) for AO. However, all of the kp,3 values became higher in comparison with those of the single systems, which could be due to mutual influence of the competitive adsorption and the concentrations of dyes in the multi-solute aqueous solution.76
Ce | Liquid phase dye concentration at equilibrium (mg L−1) |
C0 | Initial liquid concentrations of dye (mg L−1) |
Ct | Liquid concentrations of dye at any time (mg L−1) |
Cad | Liquid concentrations of reduced dye (mg L−1) |
k1 | Equilibrium rate constant of pseudo-first-order adsorption (min−1) |
k2 | Equilibrium rate constant of pseudo-second-order adsorption (g (mg min)−1) |
kext | External diffusion constant (min−1) |
kp,i | The intraparticle diffusion rate parameters of different stages |
K | The constant giving the mean free energy of adsorption per molecular of the adsorbate |
K0 | The equilibrium constant |
KF | Freundlich constant indicative of the relative adsorption capacity of the sorbent (mg g−1) |
KL | Langmuir sorption constant (L mg−1) |
qe | Amount of solute adsorbed per unit weight of the adsorbent at equilibrium (mg g−1) |
qm | Maximum adsorption capacity of the adsorbent (mg g−1) |
q1 | Amount of solute adsorbed per unit weight of the adsorbent at any time (mg g−1) |
R | Gas constant (8.314 J (mol K)−1) |
R2 | Correlation coefficient |
E | Mean free energy of sorption (kJ mol−1) |
ε | Polanyi potential |
n | Freundlich constant indicative of the intensity of adsorption |
T | Absolute temperature (°C) |
t | Time (min) |
M | The weight of the dyes used (g) |
V | The volume of the aqueous solution (L) |
Footnote |
† Electronic supplementary information (ESI) available. See DOI: 10.1039/c4ra11737a |
This journal is © The Royal Society of Chemistry 2014 |