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Journal of Applied Sciences

Year: 2015 | Volume: 15 | Issue: 4 | Page No.: 675-681
DOI: 10.3923/jas.2015.675.681
Comparative Study of Saad Isotherm Model with Conventional Isotherm Models for Cobalt Ion Adsorption from Wastewater on Activated Saudi Clays
Saad A. Al-Jlil

Abstract: The main objective of this study was to compare a newly developed isotherm model (Saad isotherm model, SIM) with five conventional isotherm models (Langmuir, Freundlich, Langmuir-Freundlich, BET and Toth) for adsorption of cobalt (Co) ion on a specified adsorbent. The Saad isotherm model fitted well the experimental data from three types of activated and non-activated Saudi clays. The Langmuir isotherm model agreed well with the experimental data of Khiber clay and Bahhah clayactivated by H2O2, NaCl and H2O4. While the Frendlich model and Langmuir-Frendlich model fitted well the experimental data of natural Tabbuk clay, activated Tabbuk clay by NaCl and the natural Bahhah clay. In conclusion, the Frendlich model fitted well the experimental data of Tabbuk clay activated by H2O2 and H2O4. Besides, the BET model did not describe the experimental data well of the three types of activated clays.

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Saad A. Al-Jlil , 2015. Comparative Study of Saad Isotherm Model with Conventional Isotherm Models for Cobalt Ion Adsorption from Wastewater on Activated Saudi Clays. Journal of Applied Sciences, 15: 675-681.

Keywords: Bahhah, Bahhah, Bahhah, Khiber, Tabbuk and Clay types

INTRODUCTION

Production of wastewater from different sources in Saudi Arabia is rising and contains a number of pollutants including some toxic heavy metals. This scenario has created interest among scientists for wastewater treatment to remove and minimize the level of toxic heavy metal ions for its reuse in industrial and agriculture sectors in order to save the precious limited groundwater sources. Among the different heavy toxic metals, Co is considered quite harmful when present above the permissible limits. The main sources of cobalt (Co) ion in wastewater are electroplating, catalytic processes, ceramic and alloys industries (Brezonik, 1974; Patterson and Passino, 1987; Emsley, 1992).

Different traditional processes such as membrane process, chemical precipitation and ion exchange process are employed for the removal of Co from wastewater. Additionally, separation of metal ion by adsorption process is another sound approach for wastewater treatment for the removal of toxic heavy metals. Presently, adsorption technology is gaining momentum as an important process in wastewater treatment. Because, it offers an attractive and cost effective solution for the separation of pollutants depending on types of adsorbents without requiring phase changes such as in the distillation process. Above all, the main advantage of adsorption process is the use of clay, a natural adsorbent which is cheap and easily available locally.

Previously different types of activators and activation techniques were examined for increasing the adsorption capacities of several types of clays (Eren, 2008; Dogan et al., 2008; Stathi et al., 2007; Unuabonah et al., 2007; Diaz et al., 2007; Adebowale et al., 2005; Al-Asheh et al., 2003; Singh et al., 2001; Suraj et al., 1998). A literature review did not reveal any scientific investigation on the activated Saudi clays for the adsorption of Co from wastewater.

Eren (2008) studied the adsorption of Cu ion by manganese oxide modified bentonite clay using a batch adsorber and found an increase in the adsorption capacity of clay for Co ion. Many investigators studied the adsorption of heavy metals on different types of clays activated by various activators such as Co and Cu ions on the modified surface of sepiolite clay by trimethoxysilane and [3-(2-aminoethylamino) propyl] (Dogan et al., 2008), Pb, Cd and Zn on four organic-modified montmorillonite clays (Stathi et al., 2007) and Pb ions on tripolyphosphate-impregnated kaolinite clay (Nigeria) by changing pH of the solution (Unuabonah et al., 2007). Hectorite clay from USA and vermiculite clay from Spain were converted to functionalized hectorite and functionalized vermiculite using thiol groups and used to adsorb lead ions from aqueous solution. They found that the adsorption of Pb ion by the functionalized vermiculite clay was higher than the functionalized hectorite. The adsorption capacity of clays was 33 mg g‾1 for functionalized vermiculite and 10 mg g‾1 for functionalized hectorite (Diaz et al., 2007).

Many studied investigated the adsorption of Pb, Cd, Zn and Cu ions by phosphate and sulphate modified kaolin clay (Nigeria) (Adebowale et al., 2005) and the methylene blue adsorption on activated bentonite clay (Al-Asheh et al., 2003). Furthermore, the activation of bentonite clay by sodium dodecyl sulphate enhanced the adsorption capacity better than the natural bentonite. In another study, a batch equilibrium technique was used for the adsorption of Pb on phosphatic clay from USA and the adsorption capacity of this ion was 32 mg g‾1 (Singh et al., 2001). Also, the adsorption of Cu and Cd ions was carried on two kaolinites (Kerala) modified by calcination and acid. They stated that the adsorption capacity decreased by increasing calcination temperature.

This study aims to compare the relative performance of Saad Isotherm Model (a new invention) with other conventional isotherm models for the adsorption of Co ions on different types of clays.

MATERIALS AND METHODS

Materials: The adsorbents used in this research were three types of Saudi natural clays collected from different locations in Saudi Arabia.

The Co ions was used an adsorbate. The Co ion solution was prepared using cobalt (II) nitrate purified LR [Co(NO3)2] and supplied by VWR International SAS 201, Rue Camot-F- 94126, Sous bois.

Activation of experimental clays: Three types of Saudi clays were activated by sulphuric acid (H2SO4), hydrogen peroxide (H2O2) and sodium chloride (NaCl) under specific activation conditions (1 M, 1 h, 25°C).

Equilibrium experiments: Equilibrium isotherms were obtained for the natural and activated clays (Tabbuk, Bahhah and Khiber) using a constant mass of clay (1 g) in 50 mL cobalt ions solution in glass bottles placed on a constant agitation shaker. In all the isotherm runs, the cobalt ion solution concentrations ranged from 50-2000 mg L‾1. The particle size of clay was 0.25 mm and the temperature was 25°C to determine the isotherms.

The adsorption of cobalt ions and the clay system reached to steady of state equilibrium after 40 min as shown in Fig. 1. Therefore, the equilibrium process was run for a total period of 3 h. Then, the samples were filtered followed by dilution and measurement of absorbance by atomic absorption spectroscopy. Lastly, the absorbance of samples was converted to concentrations with the help of calibration curve for cobalt ions. The cobalt ions adsorption on the activated clay was obtained from the mass balance equation on the batch adsorber as follows:

(1)

where, M is the mass of clay (g), V is the volume of cobalt ion solution (L), qe is the cobalt ion adsorption on the clay surface (mg g‾1), Co is the initial concentration of cobalt ions (mg L‾1) and Ce is the equilibrium concentration of the cobalt ions (mg L‾1).

Fig. 1:Time equilibrium for adsorption of cobalt ions on different types of natural clay

The cobalt ions adsorption on natural and activated clays versus the equilibrium concentration of the cobalt ions was plotted to obtain the equilibrium adsorption isotherm curves.

RESULTS AND DISCUSSION

Analysis of the equilibrium isothermal models: Five equilibrium isotherm models namely, Langmuir, Freundlich, Langmuir-Freundlich, BET, Toth isotherm and a new isotherm model (called as Saad isotherm model, SIM) were employed in the study. The equilibrium parameters were estimated by correlating the equilibrium equations with data from equilibrium experiments using a nonlinear regression technique (i.e., fminsearch function from MATLAB). Therefore, the equilibrium parameters were used to describe the removal of cobalt (Co) ion by three types of activated clay as adsorbents in a batch and fixed bed columns. Langmuir isotherm model.

The Langmuir equation assumed that the adsorption of Co ion on activated clay is a monolayer phenomenon and is applied to evaluate the maximum capacity of the activated clay (Mckay, 1996). The Langmuir isotherm equation is written as follows:

(2)

The Langmuir parameters K and b were obtained by using the non-linear regression technique with Eq. 2.

The equilibrium parameters K and b were calculated by non-linear regression technique as given in Table 1. The data in Table 1 illustrate that Langmuir model described the experimental data well. The dimensionless equilibrium parameter (Ŕ) was obtained to decide whether the cobalt ions adsorption on three types of activated clay is favorable or unfavorable by using the subsequent form El-Geundi et al. (2005):

(3)

where, b is the Langmuir parameter and Co is the initial concentration. The values of dimensionless parameter for the adsorption of Co ions on three types of activated clay were obtained as shown in Table 1. The values of the dimensionless parameter were between 0<Ŕ<1. This range showed that the adsorption process is favorable (El-Geundi et al., 2005), thus indicating that the adsorption of Co ions on three types of activated clay is favorable.

Freundlich Isotherm Model (FIM): The Freundlich isotherm model described the experimental data for heterogeneous surface. The Freundlich form is written as follows:

(4)

The equilibrium constants KF and n are calculated using non-linear regression technique with Eq. 4. The n values are greater than one, as a result, cobalt ions adsorbed on the three types of activated clay is favorable (El-Geundi, 1990).

The equilibrium constants were calculated by non-linear regression technique and presented in Table 2. It is evident from the results in Table 2 that the Freundlich model is well fit with experimental data.

Langmuir-Freundlich Isotherm Model (L-FIM): The merging between Langmuir and Freundlich isotherm models created a new model named as the Langmuir-Freundlich isotherm model. The new model has three parameters Kc, bc and m and is more suitable for heterogeneous surface (Unuabonah et al., 2007). This form can be written as follows:

(5)

At m = 1, the model converts to Langmuir. The Langmuir-Freundlich parameters Kc, bc and m were obtained by the non-linear regression technique with Eq. 5.

Table 1:Langmuir equilibrium parameters for the cobalt adsorption on three types of activated clay by different activators

Table 2:Freundlich equilibrium parameters for the cobalt adsorption on three types of activated clay by different activators

Table 3:Langmuir-Freundlich equilibrium parameters for the cobalt adsorption on three types of activated clay by different activators

The equilibrium parameters Kc, bc and m were calculated by non-linear regression technique and presented in Table 3. The values of various constants indicate that the Langmuir-Freundlich equation correlated the equilibrium data well.

Toth Isotherm Model (TIM): The fourth model used was the Toth model. The Toth model can be written as follows (Unuabonah et al., 2007):

(6)

The toth parameters Kt, bt and t are obtained using the non-linear regression technique with Eq. 6.

The equilibrium parameters Kt, bt and t were calculated by non-linear regression technique and presented in Table 4. The analysis of data in Table 4 showed that Toth equation fits the data well.

Saad Isotherm Model (SIM): The section presents a novel isotherm model which is a modification of Langmuir model and is used instead of Langmuir model since the Langmuir model can not fit the experimental data well when the surface is heterogeneous. This model is called Saad model. This model has three parameters and it is used to fit experimental data on heterogeneous surface. The Saad model can be written as follows:

(7)

where, bb = 1-s2 bs ce.

The advantage of this model is the applicability for equilibrium experiments on homogeneous and heterogeneous surfaces. Where S is the heterogeneity parameter and when S = 0, this model converts to Langmuir model. It is an admitted fact that the Langmuir model fits the experimental data very well on a homogenous surface. But when the value of S<0, the model fits the experimental data well on a heterogeneous surface as seen from data in Table 5.

The Saad parameters Ks, bs and S are obtained using the non-linear regression technique with Eq. 7. The equilibrium parameters Ks, bs and S were calculated using a non-linear regression technique and presented in Table 5. The regression analysis showed that Saad equation fitted the experiment data very well.

BET isotherm model: This model describes the multilayer of solute adsorbed on the surface of the adsorbent (Sciban et al., 2007). The model can be written as follows:

(8)

Table 4:Toth equilibrium parameters for the cobalt adsorption on three types of activated clay by different activators

Table 5:Saad equilibrium parameters for the cobalt adsorption on three types of activated clay by different activators

The BET parameters KB and bB are obtained using the non-linear regression technique with Eq. 8.

The equilibrium parameters KB and bB were calculated by a non-linear regression technique and presented in Table 6. However, the data in Table 6 indicated that BET equation fitted the experimental data poorly.

Estimation the goodness of the fit: The data from the equilibrium models (Langmuir, Freundlich, Langmuir-Freundlich, Toth, Saad and BET) and the data from equilibrium experiments were evaluated by regression analysis and Chi-Square method. The adjusted coefficient of determination, R2adj. was used to evaluate the goodness of the fit (Altin et al., 1998). In addition, Chi-square method (x2) was applied to determine the agreements between the data from the model and the equilibrium experiments. The Chi-square (x2) equation is written as follows:

(9)

where, N is the number of data points, qiexp is the amount of Co ion adsorption on the clay during the experiment and qicalc is the calculated amount of Co ion adsorbed on to clay for a given data point i.

The (R2adj.) with (x2) were calculated to assess the goodness of the fit between the data from the equilibrium models and the experiments. The calculated values of (R2adj.) and (x2) were presented in Table 7 for all the three types of clays activated by various activators used in the experiment.

The (R2adj.) along with (x2) show the most appropriate model to fit the data from different experiments. The (R2adj.) values varied from 0 to 1. However, if the value of R2adj. is equal to one, the amount of Co ion adsorbed on the surface of activated clay is hundred percent. In the case of Chi-square method (x2), the value of x2 is small. This suggested that the results from the model is close to the result of equilibrium experiments and vice versa .

A review of study data showed considerable variations among these models as indicated from different values of R2adj. and x2. It was found that Langmuire model fitted the experimental data well for activated Khiber clay in all the cases. While, the Langmuir model fitted the experimental data well for Bahhah clay activated by H2O2, NaCl and H2SO4. This may be due to the fact that the Co ions adsorbed on the clay surface as a monolayer.

Table 6:BET equilibrium parameters for the cobalt adsorption on three types of activated clay by different activators

Table 7: Comparison of (R2) and (x2) for Langmuir, Freundlich, Langmuir-Freundlich, Toth, saad and BET models

While the Frendlich model and Langmuir-Frendlich model fitted the experimental data well for natural Tabbuk clay and activated tabbuk clay by NaCl. In addition, Frendlich model and Langmuir-Frendlich model fitted the experimental data well for natural Bahhah clay. Furthermore, it was found that Frendlich model fitted the experimental data well for activated Tabbuk clay by H2O2 and H2SO4. On relative basis, among all the three activated clays, the BET model proved the worst model in fitting the experimental data. This may be attributed to the absence of cobalt multilayer on the activated clays. Finally, it was observed that Saad model fitted all the experimental data well for three types of clays.

CONCLUSION

This study investigated the adsorption of Co ion on three types of clays activated by different activators to enhance their adsorption capacity. Several types of theoretical isotherms were used and evaluated. The Langmuir isotherm model agreed most favorably with the experimental data for Khiber clay in all the cases and for Bahhah clay activated by H2O2, NaCl and H2SO4. This happened, because the Co ion adsorbed on the clay as a monolayer adsorbate. The Frendlich model and Langmuir-Frendlich model fitted well with the experimental data for natural Tabbuk clay as well as Tabbuk clay activated by NaCl, H2O2 and H2SO4 and the natural Bahhah clay. Finally, a poor correlation showed that the BET model was not successful for the experimental data unsuccessfully for three activated clays. Because there was no indication of multilayer adsorption of Co ion on the surface of the activated clays. A new isotherm model, proposed by the author and called Saad, was compared with the five different isotherm models. Overall, it was found that newly developed Saad model fitted the experimental data well when compared with the other five models. Besides, when the value of S = 0, the Saad model fitted the data similar to Langmuir model as the Saad model converts to Langmuir model in case of activated and non-activated Khiber clay and the Bahhah activated clay.

NOMENCLATURE

M = Clay mass (g)
V = Volume of the solution (L)
qe = Amount of cobalt ions adsorption (mg g‾1)
Co = Initial solution concentration of cobalt ions (mg L‾1)
Ce = Concentration of the cobalt ions at equilibrium (mg L‾1)
K = Equilibrium parameter of Langmuir model (L g‾1)
b = Equilibrium parameter of Langmuir model (L mg‾1)
Ŕ = Dimensionless equilibrium parameter (-)
KF = Equilibrium parameter of Freundlich model (L g‾1)
N = Equilibrium parameter of Freundlich model (-)
Kc = Equilibrium parameter of Langmuir and Freundlichmodel (L g‾1)
bc = Equilibrium parameter of Langmuir and Freundlichmodel (L mg‾1)
m = Equilibrium parameter of Langmuir and Freundlichmodel (-)
Kt = Equilibrium parameter of Toth model (L g‾1)
bt = Equilibrium parameter of Toth model (L mg‾1)
t = Equilibrium parameter of Toth model (-)
KB = Equilibrium parameter of BET model (L g‾1)
bB = Equilibrium parameter of BET model (L mg‾1)
Ks = Equilibrium parameter of Saad model (L g‾1)
bs = Equilibrium parameter of Saad model (L mg‾1)
S = Heterogeneity parameter of Saad model (-)

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