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Adsorption of acid dyes from aqueous solution on activated bleaching earth

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www.elsevier.com/locate/jcis

Adsorption of acid dyes from aqueous solution on activated

bleaching earth

W.T. Tsai,

a,

C.Y. Chang,

b

C.H. Ing,

b

and C.F. Chang

b

aDepartment of Environmental Engineering and Science, Chia Nan University of Pharmacy and Science, Tainan 717, Taiwan bGraduate Institute of Environmental Engineering, National Taiwan University, Taipei 106, Taiwan

Received 11 November 2003; accepted 29 January 2004 Available online 24 March 2004

Abstract

In the present study, activated bleaching earth was used as clay adsorbent for an investigation of the adsorbability and adsorption kinetics of acid dyes (i.e., acid orange 51, acid blue 9, and acid orange 10) with three different molecular sizes from aqueous solution at 25◦C in a batch adsorber. The rate of adsorption has been investigated under the most important process parameters (i.e., initial dye concentration). A simple pseudo-second-order model has been tested to predict the adsorption rate constant, equilibrium adsorbate concentration, and equilibrium adsorption capacity by the fittings of the experimental data. The results showed that the adsorbability of the acid acids by activated bleaching earth follows the order: acid orange 51 > acid blue 9 > acid orange 10, parallel to the molecular weights and molecular sizes of the acid dyes. The adsorption removals (below 3%) of acid blue 9 and acid orange 10 onto the clay adsorbent are far lower than that (∼24%) of acid orange 51. Further, the adsorption kinetic of acid orange 51 can be well described by the pseudo-second-order reaction model. Based on the isotherm data obtained from the fittings of the adsorption kinetics, the Langmuir model appears to fit the adsorption better than the Freundlich model. The external coefficients of mass transfer of the acid orange 51 molecule across the boundary layer of adsorbent particle have also been estimated at the order of 10−4–10−5cm s−1based on the film–pore model and pseudo-second-order reaction model.

2004 Elsevier Inc. All rights reserved.

Keywords: Liquid-phase adsorption; Acid dye; Activated bleaching earth; Isotherm; Kinetic modeling; Mass transfer coefficient

1. Introduction

Due to ever-growing demands in textiles, synthetic or-ganic dyes are widely used for dyeing textile fibers such as cotton and polyester. However, these materials pose certain health hazards and environmental pollution. Dye effluents not only are aesthetic pollutants as far as their colors are concerned but may also interfere with light penetration in the receiving water bodies, thereby disturbing the biological processes. Further, dye effluents may contain chemicals that exhibit toxic effects toward microbial populations and can be toxic and/or carcinogenic to mammalian animal[1]. There-fore, environmental legislation has imposed stringent limits on the concentrations of pollutants that may be discharged in aqueous effluents from dyestuff manufacturing and textile industries.

* Corresponding author.

E-mail address: [email protected] (W.T. Tsai).

Methods of effluent treatment for dyes and/or their ef-fluents may be divided into three main categories: physi-cal, chemiphysi-cal, and biological [2,3]. Among them, adsorp-tion technology is generally considered to be an effective method for quickly lowering the concentration of dissolved dyes in an effluent[4]. In this regard, activated carbon has been evaluated extensively for the removal of color result-ing from the different classes of dyes, that is, acid, direct, basic (cationic), reactive, and disperse[5]. Despite the pro-lific use of this adsorbent throughout the water/wastewater treatment and other industrial applications, carbon adsorp-tion remains an expensive process due to the high cost for the use of activated carbon[6]. This has attracted considerable research into low-cost alternative adsorbents for adsorbing or removing coloring matter and undesirable residues from plant oils in the bleaching process[7]. Activated bleaching earth, now the most widely used adsorbent in the edible in-dustry, is generally original from acid-activated clays that act as a modified ion-exchange medium based on the chemical state of the pore surface.

0021-9797/$ – see front matter 2004 Elsevier Inc. All rights reserved. doi:10.1016/j.jcis.2004.01.072

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The study of the kinetics and equilibrium (isotherm) of organic pollutant adsorption onto a cost-effective adsorbent is significant in the industrial wastewater treatment system because it provides valuable insights into the mechanisms and optimal operation parameters of adsorption processes. Also, the properties of organic pollutants with respect to transport across the boundary layers of adsorbent particles are important for providing design information. In our pre-vious papers[8–10], a series of studies of adsorption of the herbicide paraquat on activated bleaching earth were deter-mined through the adsorption isotherms and adsorption ki-netics. A fast decrease in residual paraquat concentration at a short time scale was found, implying strong electrostatic or ion-exchange interaction between the negatively charged surface and cationic paraquat.

Acid dyes are water-soluble anionic dyes and are ap-plied to nylon, wool, silk, and modified acrylics[1]. Due to the theoretically weak interactions between the negatively charged surface in activated clays (or activated bleaching earths) and anionic dyes, there appears to be relatively lit-tle information in the literature concerning the adsorption of acid dye onto activated clay[11–15]. Chiang and Hsu[11] investigated the adsorption behavior of acid blue 9 on the ac-tivated clay. It was found that the adsorption capacity of the acidic dye was significantly smaller than that of the basic dye. Juang et al.[12]used acid-activated clay as a low-cost adsorbent for the adsorption of dyes, also showing that the adsorption capacity was comparatively high for basic dye and was lower for other kinds of dyes (e.g., acidic dye). The results of Ramakrishna and Viraraghavan[13]indicated the high removal of acidic dyes by fly ash and slag, while peat and bentonite exhibited high basic dye removals. Ho et al.[14]studied the kinetics of basic red 18 and acid blue 9 adsorption onto activated clay based on the pseudo-second order rate model. In the study of Ho and Chiang[15], they used a mixture of activated clay and activated carbon as ad-sorbent for the adsorption of acid blue 9 and also confirmed the pseudo-second-order rate model with good correlation. From the survey of the literature, little information on the relationships between the adsorbability of activated clay and molecular properties of acid dyes and the mass transfer co-efficient of the adsorption system is found. Thus, the main objects of this paper are to (i) study the feasibility of us-ing activated bleachus-ing earth adsorption approach for the

removals of acid dyes, (ii) evaluate the usefulness of simple pseudo-second-order models for adsorption rates or kinetics of acid dyes with high molecular weight in water solution at 25◦C, (iii) determine the applicability of common isotherm models (i.e., Langmuir and Freundlich) based on the adsorp-tion capacities from the fittings of the adsorpadsorp-tion rate model, and (iv) estimate the external mass transfer coefficient based on the film-pore model and pseudo-second-order adsorption rate model.

2. Materials and methods 2.1. Materials

The acid dyes used in the adsorption experiments are acid orange 51, acid blue 9, and acid orange 10, which were pur-chased from Aldrich Chemical Co. (St. Louis, U.S.A.). The identification information and molecular structures of these dyes are depicted in Table 1andFig. 1, respectively[16]. Activated bleaching earth was obtained from an edible oil workshop (Taiwan Sugar Co., Kaohsiung, Taiwan). Its prop-erties, from the manufacturer’s product brochure, are listed inTable 2. The zeta potential of the clay adsorbent was deter-mined by a Zeta Meter System 3.0, showing that the surface of activated bleaching earth at the experimental conditions exhibits negative charges (pHpzc ≈ 1.2)[10]. This implies

that the clay adsorbent may be not liable to adsorb molecules of acid dye based on the electrostatic repulsion. Basically, the clay adsorbent possesses a characteristic of mesoporous structure with BET surface area of 245 m2g−1, which is very close to our previous measurements, ranging from 229 to 267 m2/g[9].

2.2. Adsorption kinetics

All the experiments with adsorption kinetics were carried out in a ca. 5-L stirred batch adsorber with four baffles as described previously[17]. The jacketed adsorber was main-tained at isothermal condition (i.e., 25◦C) with an outer circulating-water bath prior to all of the experiments. For each experiment, 3.7 L of the acid dye solution at spec-ified initial concentration was continuously stirred with a certain amount of the adsorbent dried in an oven (105◦C)

Table 1

Some properties of the acid dyes used in the present studya

Property Acid orange 51 Acid blue 9 Acid orange 10

CAS 8003-88-1 3844-45-9 1936-15-8

C.I. 26550 42090 16230

Chemical formula C36H26O11N6S3Na2 C37H34O9N2S3Na2 C16H10O7N2S2Na2

Molecular weight 860.81 792.86 452.38

Molecular sizeb 2.96× 0.92 × 0.90 nm 1.88× 1.47 × 1.07 nm 1.38× 0.83 × 0.41 nm

Dye content ∼50% ∼65% ∼80%

λmax(nm) 446 625 475

aPurchased from Aldrich Co. (U.S.A.). b See Ref.[16].

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for more than 24 h. Thus, the adsorption conditions were further set at an agitation speed of 800 rpm in the present work. In the adsorbing stage, the solution (ca. 20 cm3) was sampled from the adsorber at specified intervals up to 45 h. It was then treated with centrifugation for solid–liquid sep-aration. The acid dye concentration analysis of decant so-lution was immediately made by using spectrophotometer

Fig. 1. Molecular structures of acid dyes used in this study: (a) acid or-ange 51, (b) acid blue 9, and (c) acid oror-ange 10.

Table 2

Properties of activated bleaching earth used in this studya

Properties Values Chemical composition (%) Loss on ignitionb 4.24–10.27 SiO2 73.49–78.16 Al2O3 6.94–10.63 Fe2O3 1.53–4.45 MgO 1.19–2.84 CaO 0.19–0.92 pH (10% suspension) 2.5–3.5

Moisture (%, loss on drying at 100◦C) 7.0–9.0 Residual acidity (KOH mg g−1) 0.5–1.5 Physical properties

True specific gravity 2.3–2.5

Bulk density (g cm−3) 0.65–0.75

BET surface area (m2g−1) 245

Fineness (%, pass through 88 µm sieve) 88–92 Particle size distribution (%)

0–10 µm 7.3

10–20 µm 17.1

20–30 µm 20.4

30–40 µm 26.6

a Supplied by the manufacturer (Mizusawa Co., Japan). b Loss on drying at 110C.

(Model GENESYS 20; Thermo Spectronic Co., U.S.A.). The amount of acid dye adsorbed (qt, mg g−1) was deter-mined as

(1) qt= (C0− Ct)V /m,

where C0and Ct are the initial and liquid-phase concentra-tions of acid dye solution at time t (mg dm−3), respectively, V is the volume (ca. 3.7 dm3) of aqueous solution containing acid dye, and m is the mass of dry clay adsorbent used (g). All of the experimental data were carried out in duplicate for precisely calculating the adsorption kinetics with a sim-ple pseudo-second-order method.

3. Results and discussion 3.1. Adsorbability of acid dyes

Figs. 2–4show the rate of adsorption on activated bleach-ing earth for acid orange 51, acid blue 9, and acid orange 10, respectively. It can be seen that preliminary investigations of the adsorption removal by the clay adsorbent have indicated that the process occurs for acid orange 51, not in the cases for acid blue 9 and acid orange 10. The decrease in residual

Fig. 2. Plot of concentration versus time for acid orange 51 (initial concen-tration= 41.7 mg dm−3, adsorbent dosage= 12 g in 3.7 dm−3, agitation speed= 800 rpm, and temperature = 25◦C).

Fig. 3. Plot of concentration versus time for acid blue 9 (initial concen-tration= 47.4 mg dm−3, adsorbent dosage= 6 g in 3.7 dm−3, agitation speed= 800 rpm, and temperature = 25◦C).

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Fig. 4. Plot of concentration versus time for acid orange 10 (initial concen-tration= 54.8 mg dm−3, adsorbent dosage= 6 g in 3.7 dm−3, agitation speed= 800 rpm, and temperature = 25◦C).

acid orange 51 concentration means the increase in amount of acid orange 51 adsorbed as a function of time until the adsorption of acid orange 51 approached to remain constant, implying that adsorption equilibrium has been reached. Af-ter the lapse of ca. 10 h, a gradual approach to the limiting adsorption was observed. Evidently, the adsorption removals (below 3%) of acid blue 9 and acid orange 10 on the clay ad-sorbent are far lower than that (∼24%) of acid orange 51. The adsorbability of the acid dyes by activated bleaching earth thus follows the sequence: acid orange 51 > acid blue 9 > acid orange 10. It is interested that this adsorbability or-der is parallel to the molecular weights and molecular sizes of the acid dyes listed inTable 1, showing that the adsorption of acid dyes by activating bleaching earth is still dependent on dye property. These results may be related to show that the activated bleaching earth is not an effective adsorbent for the anionic dyes due to the negatively charged surface of the clay adsorbent, which is consistent with other stud-ies [12,13]. Although such dyes are not readily adsorbed onto the clay adsorbent surface due to their sulfonic and azo groups[4], the van der Waals forces derived from the adsorp-tion potential still pose a significant role in encountering the electrostatic repulsion between the anionic dye and the clay adsorbent.

3.2. Adsorption kinetics

In the present work, a simple kinetic analysis of adsorp-tion, a pseudo-second-order equaadsorp-tion, is used to fit experi-mental data in the form[14,15,18,19]

(2) dqt/dt= k(qe− qt)2,

where k is the pseudo-second-order rate constant (g mg−1 h−1), qeis the amount of acid dye adsorbed at equilibrium (mg g−1), and qtis the amount of acid dye adsorbed at time t (mg g−1). IntegratingEq. (2) for the boundary conditions t= 0 to t = t and qt= 0 to qt= qt, gives

(3) 1/(qe− qt)= 1/qe+ kt.

Fig. 5. Plots of adsorbed acid orange 51 amount versus time at various initial concentrations. Adsorption conditions: adsorbent dosage= 12 g in 3.7 dm−3, agitation speed= 800 rpm, and temperature = 25◦C. Symbols: experimental data; full lines: calculated from pseudo-second-order adsorp-tion kinetics orEq. (4).

Equation (3)can be rearranged to obtain a linear form: (4) t/qt= 1/



kqe2+ (1/qe)t.

The rate parameters, k and qe, can be directly obtained from the intercept and slope of the plot of (t/qt) against t . The equilibrium concentration (i.e., Ce) can be further calculated fromEq. (1), as the value of qe has been obtained from the fitting ofEq. (4).

The effects of the initial acid dye 51 concentrations on the rate and extent of adsorption of activated bleaching earth were studied at an adsorbent dosage of 12 g in 3.7 dm−3, a mixing speed of 800 rpm, and a temperature of 25◦C, as shown inFig. 5, where the experimental data are shown as discrete points and those obtained from the model by solid lines. It is evident fromFig. 5that the rate of adsorption de-creased with time until it gradually approached a plateau due to the continuous decrease in the concentration driving force. The kinetic data obtained from batch studies have been ana-lyzed by using the pseudo-second-order model. Values of k, qe, correlation coefficient (R2), and Cefor the acid dye 51, computed fromEq. (4)andEq. (1), are listed inTable 3, from which it will be seen that the kinetics of the dye adsorption on the clay adsorbent follows this model with the correla-tion coefficients of higher than 0.999 for all the system in this study, excluding the initial concentration 91.8 mg dm−3 where the correlation coefficient slightly falls on 0.994. From the results in Table 3, the adsorption capacity (i.e., qe) increased as the initial dye concentration (i.e., C0) and

equilibrium concentration (i.e., Ce) increased, which is also consistent with similar studies[11,14,15]. However, it was found that the rate constant (i.e., k) and adsorption capacity (i.e., qe) are significantly lower than those of the adsorption for the cationic paraquat–clay adsorbent system[8–10]. 3.3. Adsorption isotherm

It is necessary to establish the most appropriate correla-tions for the equilibrium data in the design of adsorption

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sys-tems. Two common isotherm equations have been tested in the present study: Langmuir and Freundlich models[20,21]. Applicability of the isotherm equations was compared by judging the correlation coefficients, R2:

(5) Langmuir: Ce/qe= 1/(KLqm)+ (1/qm)Ce,

(6) Freundlich: qe= KFCe1/n.

InEq. (5), Ceand qeare as defined inEq. (2), KLis a direct measure for the intensity of the adsorption process or related to the heat of adsorption (dm3mg−1), and qm is a constant related to the area occupied by a monolayer of absorbate, reflecting the limiting adsorption capacity (mg g−1). From a plot of Ce/qevs Ce, qmand KL can be determined from the slope and intercept. InEq. (6), KF is a constant for the system, related to the bonding energy. KF can be defined as adsorption or distribution coefficient and represents the quantity of dye adsorbed onto adsorbents for a unit equilib-rium concentration (i.e., Ce= 1 mg dm−3). The slope 1/n, ranging between 0 and 1, is a measure for the adsorption in-tensity or surface heterogeneity[22]. A value for 1/n below one indicates a normal Langmuir isotherm while 1/n above one is indicative for a cooperative adsorption[23]. A plot of ln qe vs Ceenables the empirical constants KF and 1/n to be determined from the intercept and slope of the linear regression.

Table 4presents the results of Langmuir and Freundlich isotherm fits of acid orange 51 using the adsorption capac-ity data fromTable 3at 25◦C. Obviously, it can be seen in Fig. 6that the Langmuir model yields a somewhat better fit than the Freundlich model, as reflected by correlation coef-ficients (R2) of 0.998 and 0.966, respectively. It is noted in Table 4that the monolayer adsorption capacity (i.e., qm= 8.45 mg g−1) is significantly lower than that of paraquat ad-sorption on the activated clay[8–10]. As also illustrated in Table 4, the value of 1/n is 0.460, which indicates somewhat favorable adsorption[23], but the adsorption favorability is

Table 3

Kinetic parameters for adsorption of acid orange 51 onto activated bleach-ing earth at various initial concentrationsa

C0 k qe Correlation Ce (mg dm−3) (g mg−1h−1) (mg g−1) coefficient (mg dm−3) 14.9 2.56 2.39 0.9997 7.1 26.5 1.03 3.64 0.9997 14.7 41.7 0.33 5.02 0.9995 25.4 63.6 0.31 6.12 0.9988 43.7 91.8 0.14 6.65 0.9941 70.3

a Adsorption conditions: adsorbent dosage= 12 g in 3.7 dm−3, agitation speed= 800 rpm, and temperature = 25◦C.

evidently less than for the adsorption systems of paraquat– clay[8–10]and dye–carbon[24,25], respectively.

3.4. Mass transfer coefficient

According to the typical adsorption model[20,21], there are two main mass transfer resistances, external diffu-sion across the boundary layer surrounding each adsor-bent particle and internal diffusion into the porous particle. Based on the film-pore diffusion model for describing the process[21], external mass transfer can be equated to

(7) Nt = kfA(Ct− Cs),

where Nt is the diffusion rate across the film layer surround-ing the adsorbent particle. kf is the external mass transfer coefficient. Its reciprocal is a measure of the resistance in the film layer. A is the external surface area of adsorbent particles. Cs is the adsorbate equilibrium concentration at the surface of adsorbent particle. Ct is as defined inEq. (1). From the mass balance, diffusion rate can be also described by combiningEq. (1)as follows:

(8) Nt = −V dCt/dt= m dqt/dt.

Using the initial conditions (i.e., Ct= C0and Cs= 0 at t = 0), therefore,

(9) (Nt)t→0= kfAC0.

CombiningEqs. (2), (8), and (9), the external mass transfer coefficient, kf, can be evaluated by the equation

(10) kf = mkqe2/(C0A).

In the previous study[9], the mean particle diameter for the clay adsorbent was determined to be 2.244× 10−5m. The

Fig. 6. Isotherms of acid orange 51 adsorption on activated bleaching earth at 25◦C. Symbols: data from the fittings of pseudo-second-order adsorption kinetics; full lines: calculated from Langmuir and Freundlich models. Table 4

Isotherm parameters for adsorption of acid orange 51 onto activated bleaching earth in water solutions at 25◦C

Langmuir Freundlich

qm(mg g−1) KL(dm3mg−1) R2 KF(mg g−1(dm3mg−1)1/n) 1/n (–) R2

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Table 5

External mass transfer coefficient for adsorption of acid orange 51 onto activated bleaching earth at various initial concentrations

C0(mg dm−3) kf (cm s−1) 14.9 1.29× 10−4 26.5 6.76× 10−5 41.7 2.61× 10−5 63.6 2.42× 10−5 91.8 8.97× 10−6

value of the external surface area per spherical particle is thus estimated to be 1.58× 10−9 m2. The total number of adsorbent particles can be roughly estimated to be 1.61×109 based on the adsorbent mass (i.e., m= 12 g) and particle density (= 1.261 g cm−3)[26]. Therefore, the values of kf at various C0can be obtained based on m= 12 g, A = 2.54 m2,

and data inTable 3.

Table 5 gives the obtained values of kf ranging from 8.97× 10−6 to 1.29× 10−4 cm s−1. The obtained values of the external mass transfer coefficient are compared to the reported data found in literatures[11,27–30]. McKay et al. [27]conducted the adsorption of dyes (e.g., acid red 114) onto bagasse pitch during the external transport processes. The value of kf is 4.73× 10−6 cm s−1, which was obtained by the initial rate (slope) method. Nassar and El-Geundi[28] studied the external mass transport coefficient during the ad-sorption of acid dye (i.e., acid blue 25) onto bagasse pith, showing that the value of kf is 4.73× 10−4 cm s−1, which was also obtained by the initial rate (slope) method. Chiang and Hsu [11] investigated the adsorption behavior of acid blue 9 on the activated clay. They found the values of kf by the differential and integration methods, indicating that the values of kf decreased with increase of initial adsor-bate concentration. Also, the ranges of kf thus obtained are approximate to be the order of 10−4 cm s−1, which are in agreement with those found in the present study. Hsu et al. [29]used activated clay to study the adsorption of basic dyes including the differentiation and integration methods for the calculation of external mass transfer coefficients. Their re-sults showed that the values (10−4–10−5cm s−1) of the mass transfer coefficient were found to be lower at higher initial concentrations. Al-Qodah[30]determined the external mass transfer coefficient for the adsorption of reactive dyes on shale oil ash by using two-resistance model. Comparing the model predictions with the experimental curves by means by the best-fit approach, the result showed that the coefficient (i.e., 2.5× 10−4cm s−1) was not affected by varying the ini-tial dye concentration. Notably, a nonlinear combination of external mass transfer and effective diffusion determines the overall shape of the concentration decay curve in the solute adsorption onto porous particle. The former generally takes the first stage of the process, after which the later becomes dominant throughout the process until equilibrium. Further works would be helpful in order to elucidate pore diffusion and surface diffusion (i.e., the migration of solute molecules on the pore walls) of acid orange 51 molecule, and simulate

the adsorption system based on either a liquid film resis-tance and/or pore diffusion resisresis-tance, because the surface diffusion may play an important role in the transport contri-bution[21].

4. Conclusions

The adsorbability and adsorption rate of acid dyes with different molecular sizes on activated bleaching earth from aqueous solution at 25◦C has been examined. The following conclusions can be drawn:

• Basically, the activated bleaching earth is not an effec-tive adsorbent for the anionic dyes possibly due to the negatively charged surface of the clay adsorbent. How-ever, the van der Waals forces derived from the adsorp-tion potential still pose a significant role in encountering the electrostatic repulsion between the clay adsorbent and the anionic dye with high molecular weight. • The adsorbability of the acid dyes by activated

bleach-ing earth follows the order: acid orange 51 > acid blue 9 > acid orange 10, which is parallel to the molecular weights and molecular sizes of the acid dyes.

• The adsorption kinetics of acid orange 51 can be well described by the pseudo-second-order model equation. Also, the rate constant of adsorption was found to de-crease by increasing the initial concentration.

• From the isotherm data obtained from the fittings of the pseudo-second-order model, the Langmuir model yields a somewhat better fit than the Freundlich model. • The external mass transfer coefficients (the order of

10−4–10−5 cm s−1), estimated based on the pore–film model and pseudo-second-order rate model, are com-pared to the published data in literatures.

Acknowledgment

This research was supported by the NSC (National Sci-ence Council), Taiwan, under Contract NSC 91-2211-E-041-005.

References

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[4] A. Reife, H.S. Freeman, in: A. Reife, H.S. Freeman (Eds.), Environ-mental Chemistry of Dyes and Pigments, Wiley, New York, 1996. [5] S.J. Allen, in: G. McKay (Ed.), Use of Adsorbents for the Removal of

Pollutants from Wastewaters, CRC Press, Boca Raton, FL, 1996. [6] S.J.T. Pollard, G.D. Fowler, C.J. Sollars, R. Perry, Sci. Total

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[7] H.B.W. Patterson, J. Am. Oil Chem. Soc. 53 (1976) 339.

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[10] W.T. Tsai, C.W. Lai, K.J. Hsien, Colloids Surf. A 224 (2003) 99. [11] C.C. Chiang, Y.C. Hsu, J. Chin. Colloid Interface Soc. 20 (1997) 215. [12] R.S. Juang, F.C. Wu, R.L. Tseng, Environ. Technol. 18 (1997) 525. [13] K.R. Ramakrishna, T. Viraraghavan, Water Sci. Technol. 36 (1997)

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[14] Y.S. Ho, C.C. Chiang, Y.C. Hsu, Sep. Sci. Technol. 36 (2001) 2473. [15] Y.S. Ho, C.C. Chiang, Adsorption 7 (2001) 139.

[16] H. Tamai, T. Yoshida, M. Sasaki, H. Yasuda, Carbon 37 (1997) 983. [17] C.Y. Chang, W.T. Tsai, C.H. Ing, C.F. Chang, J. Colloid Interface

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[18] Y.S. Ho, G. McKay, Water Res. 34 (2000) 735.

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[23] K. Fytianos, E. Voudrias, E. Kokkalis, Chemosphere 40 (2000) 3. [24] L.B. Khalil, B.S. Girgis, Adsorpt. Sci. Technol. 16 (1998) 405. [25] W.T. Tsai, C.Y. Chang, M.C. Lin, S.F. Chien, H.F. Sun, M.F. Hsieh,

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[26] W.T. Tsai, H.P. Chen, S.F. Chien, H.F. Sun, M.F. Hsieh, J. Anal. Appl. Pyrol. 63 (2002) 157.

[27] G. McKay, M.S. El-Geundi, M.M. Nassar, Water Res. 22 (1988) 1527. [28] M.M. Nassar, M.S. El-Geundi, Adsorpt. Sci. Technol. 11 (1994) 73. [29] Y.C. Hsu, C.C. Chiang, M.F. Yu, Sep. Sci. Technol. 32 (1997) 2513. [30] Z. Al-Qodah, Water Res. 34 (2000) 4295.

數據

Fig. 1. Molecular structures of acid dyes used in this study: (a) acid or- or-ange 51, (b) acid blue 9, and (c) acid oror-ange 10.
Fig. 4. Plot of concentration versus time for acid orange 10 (initial concen- concen-tration = 54.8 mg dm −3 , adsorbent dosage = 6 g in 3.7 dm −3 , agitation speed = 800 rpm, and temperature = 25 ◦ C).
Table 4 presents the results of Langmuir and Freundlich isotherm fits of acid orange 51 using the adsorption  capac-ity data from Table 3 at 25 ◦ C

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✓ Express the solution of the original problem in terms of optimal solutions for subproblems. Construct an optimal solution from

✓ Express the solution of the original problem in terms of optimal solutions for subproblems.. Construct an optimal solution from