# Application ofGlycyrrhiza glabra Root as a Novel Adsorbent in the Removal of Toluene Vapors: Equilibrium, Kinetic, and Thermodynamic Study

Authors: Fazel Mohammadi-Moghadam; Mohammad Mehdi Amin; Mehdi Khiadani (Hajian); Fariborz Momenbeik; Heshmatollah Nourmoradi; Mohammad Sadegh Hatamipour
Journal: Journal of Environmental and Public Health
 (2013)

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## Abstract

The aim of this paper is to investigate the removal of toluene from gaseous solution throughGlycyrrhiza glabra root (GGR) as a waste material. The batch adsorption experiments were conducted at various conditions including contact time, adsorbate concentration, humidity, and temperature. The adsorption capacity was increased by raising the sorbent humidity up to 50 percent. The adsorption of toluene was also increased over contact time by 12 h  when the sorbent was saturated. The pseudo-second-order kinetic model and Freundlich model fitted the adsorption data better than other kinetic and isotherm models, respectively. The Dubinin-Radushkevich (D-R) isotherm also showed that the sorption by GGR was physical in nature. The results of the thermodynamic analysis illustrated that the adsorption process is exothermic. GGR as a novel adsorbent has not previously been used for the adsorption of pollutants.


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## Body

## 1. Introduction

Environmental pollution, as a result of industrial improvements, has created severe problems in the recent years. Volatile organic compounds (VOCs) are the major pollutants being released from various industrial plants and processes [1–4]. Some VOCs such as toluene existing in fuels, petroleum, and gasoline are widely used in many industrial solvents [5, 6]. Toluene vapors are released into the atmospheric environment over their production, transportation, application, and discharge every year [2]. Toluene can be absorbed by respiratory and gastrointestinal tracts. The human exposure to toluene results in neurotoxicity, mental depression, and various symptoms such as headache, fatigue and ataxia [7]. The US Environmental Protection Agency (USEPA) has considered toluene as a major pollutant, the concentration of which must be reduced to a very low level in the environment [8–10]. Various techniques including biofilter, biotrickling filter, bioscrubber, and adsorption have been successfully adopted to remove toluene vapors from gaseous media [1, 11–14].Many adsorbents including zeolites [15–18], metal oxides [19], compost [11, 20], diatomaceous earth, chaff [20], ground tire rubber [11], and activated carbon [21–26] have been used for the removal of toluene vapors. Among the above-mentioned adsorbents, adsorption by activated carbon is one of the most common processes to remove VOCs, especially toluene, from gases solution, but, it is not cost effective [7]. Glycyrrhiza glabra is a herb that grows in various parts of the world as well as the southern areas of Iran [27]. It is a very sweet, humid, and soothing plant which has been used as a medicine to protect the liver, and to treat arthritis and the mouth ulcers for centuries in European and Eastern countries [27, 28]. The roots of Glycyrrhiza glabraare thick, long, cylindrical, fibrous, and multibranched [27] which after using its extract for medicine are disposed. In this study, the waste roots were, as a novel sorbent, used to remove toluene from gaseous solution. The main purpose of this study was to investigate the effect of various conditions including humidity, contact time, adsorbate concentration, and temperature on the adsorption of toluene vapor.Literature review did not show any previous research using GGR waste as pollutant adsorbent. Only in a study, GGR was used as carbon sources in biological denitrification of drinking water [29].


## 2. Materials and Methods

### 2.1. Preparation of the Adsorbent

Glycyrrhiza glabra root (GGR) was provided by Rishmak Inc., an extract producing company located in Shiraz, Iran. The root of the herb was extracted at 3.5 bar pressure and 140°C temperature for 2 hours. Then dewatered GGR is dumped around the company as a waste material. In this paper, the GGR was ground to pieces of 0.5–1 cm, repeatedly washed with deionized water, dried in oven at 60°C for 48 h, and sterilized at 15 psi for 20 min.


### 2.2. Instrument

The surface area of GGR was determined with a multipoint N2 gas adsorption method (Sorptometer Kelvin 1042, Costech International, Italy). The chemical composition of the adsorbent was also characterized by X-ray fluorescence analyzer (Bruker, S4, Pioneer, Germany) and elemental combustion system (ECS 4010, Costech International, Italy). The concentration of toluene (purity of 99.5%, Merck, Germany) in the solution was quantified by a gas chromatography equipped with flame ionization detector (Agilent GC, 7890A, Netherland). The GC-FID procedure was optimized as follows.The amount of 100μL of gaseous sample was injected into the instrument by 1 mL gastight syringes (Hamilton series no. 1001; Hamilton Co., NV, USA) equipped with Teflon Minnert fittings.Helium (with flow rate of 1.11 mL/min) and H2 (with flow rate of 30 mL/min) were used as carrier gas and fuel gas, respectively. The characteristic of GC column was Agilent CP Sil 5: 30m×250μm×0.25μm. The temperatures of the oven, injector, and detector were fixed at 100, 230, and 250°C, respectively.The pH value and the particle size analyses of GGR were measured by digital pH meter and sieves with standard mesh, respectively. The bulk density and the water holding capacity analysis of adsorbent was conducted according to Ahn et al. [30].


### 2.3. Adsorption Experiments

The experiments including adsorbent humidity (0–70%), contact time (0–24 h), and adsorbate concentration (6.928 mg/L) were carried out at room temperature (25°C) in the 250 mL vials (with PTFE air-tight cap) and mixed by a rotary shaker (300 rpm for 24 h). The effect of temperature (10–50°C) on the adsorption was also determined as described above. After agitation period, 100μL of the polluted gas was analyzed for toluene by GC-FID. All the experiments were performed in triplicates and the mean values were considered. Blank samples were also employed to determine the amount of toluene loss. The blank recoveries ranged from 93.8 to 96% and the experimental data were adjusted for these recoveries. Calibration curve for determination of the toluene concentration was prepared according to the standard method [31].The adsorbent capacity of GGR for toluene was calculated by(1)qe=(C0-Ce)Vm,
where qe (mg/g) is the adsorption capacity of GGR, C0 (mg/L) is the initial concentration of toluene, Ce (mg/L) is the equilibrium concentration of the toluene in the solution, m (g) is the mass of the adsorbent, and  V (L) is the volume of the polluted gas (or volume of the vial).


## 2.1. Preparation of the Adsorbent

Glycyrrhiza glabra root (GGR) was provided by Rishmak Inc., an extract producing company located in Shiraz, Iran. The root of the herb was extracted at 3.5 bar pressure and 140°C temperature for 2 hours. Then dewatered GGR is dumped around the company as a waste material. In this paper, the GGR was ground to pieces of 0.5–1 cm, repeatedly washed with deionized water, dried in oven at 60°C for 48 h, and sterilized at 15 psi for 20 min.


## 2.2. Instrument

The surface area of GGR was determined with a multipoint N2 gas adsorption method (Sorptometer Kelvin 1042, Costech International, Italy). The chemical composition of the adsorbent was also characterized by X-ray fluorescence analyzer (Bruker, S4, Pioneer, Germany) and elemental combustion system (ECS 4010, Costech International, Italy). The concentration of toluene (purity of 99.5%, Merck, Germany) in the solution was quantified by a gas chromatography equipped with flame ionization detector (Agilent GC, 7890A, Netherland). The GC-FID procedure was optimized as follows.The amount of 100μL of gaseous sample was injected into the instrument by 1 mL gastight syringes (Hamilton series no. 1001; Hamilton Co., NV, USA) equipped with Teflon Minnert fittings.Helium (with flow rate of 1.11 mL/min) and H2 (with flow rate of 30 mL/min) were used as carrier gas and fuel gas, respectively. The characteristic of GC column was Agilent CP Sil 5: 30m×250μm×0.25μm. The temperatures of the oven, injector, and detector were fixed at 100, 230, and 250°C, respectively.The pH value and the particle size analyses of GGR were measured by digital pH meter and sieves with standard mesh, respectively. The bulk density and the water holding capacity analysis of adsorbent was conducted according to Ahn et al. [30].


## 2.3. Adsorption Experiments

The experiments including adsorbent humidity (0–70%), contact time (0–24 h), and adsorbate concentration (6.928 mg/L) were carried out at room temperature (25°C) in the 250 mL vials (with PTFE air-tight cap) and mixed by a rotary shaker (300 rpm for 24 h). The effect of temperature (10–50°C) on the adsorption was also determined as described above. After agitation period, 100μL of the polluted gas was analyzed for toluene by GC-FID. All the experiments were performed in triplicates and the mean values were considered. Blank samples were also employed to determine the amount of toluene loss. The blank recoveries ranged from 93.8 to 96% and the experimental data were adjusted for these recoveries. Calibration curve for determination of the toluene concentration was prepared according to the standard method [31].The adsorbent capacity of GGR for toluene was calculated by(1)qe=(C0-Ce)Vm,
where qe (mg/g) is the adsorption capacity of GGR, C0 (mg/L) is the initial concentration of toluene, Ce (mg/L) is the equilibrium concentration of the toluene in the solution, m (g) is the mass of the adsorbent, and  V (L) is the volume of the polluted gas (or volume of the vial).


## 3. Results and Discussion

### 3.1. Characterization of Media

The physical and chemical characteristics of GGR are presented in Table1.Table 1
Characteristics of the GGR (on the dry basis).
Parameters
Chemical composition (%)
CaO
4.83
SiO2
1.76
Al2O3
0.552
Fe2O3
0.317
SO3
0.243
MgO
0.186
Na2O
0.072
K2O
0.068
P2O5
0.062
SrO
0.046
Cl
0.030
ZnO
0.019
TiO2
0.017
CuO
0.011
C
44.6
H
5.33
N
1.47
Physical characteristics
pH
7.4
BET surface area (m2/g)
1.532
Particle diameter (cm)
0.5–1
Water holding capacity (g water/g dry GGR)
2.9
Bulk density (kg/m3)
37.62


### 3.2. The Effect of Adsorbent Humidity

The effect of adsorbent humidity (0–70%) on the sorption was determined. As can be seen in Figure1, the adsorption capacity was expanded by increasing the sorbent humidity up to 50 percent. The sorbent humidity higher than 50% may be due to the occupation of the media porosity by water content, leading to the reduction of the adsorption capacity. Acuña et al. (2000) found out that the variation of water content of peat as an adsorbent for the toluene vapors did not have significant effects on the sorption rate [32]. GGR with a humidity of 50 percent was used for the subsequent experiments.Figure 1
The effect of humidity of media on the sorption of toluene (adsorbent dose = 0.6 g, temperature = 25°C, contact time = 24 h, and adsorbate conc. = 6.928 mg/L).


### 3.3. The Effect of Contact Time

Figure2(a) shows the effect of contact time (0–24 h) on the adsorption of toluene by GGR. The adsorption as can be seen in the figure reached its maximum capacity by the elapse of time.(a) The effect of contact time on the removal of toluene by GGR (adsorbent dose = 0.6 g, temperature = 25°C, adsorbent humidity = 50%, and adsorbate conc. = 6.928 mg/L). (b) Pseudo-second-order kinetic model.
(a)
(b)The adsorption of toluene was quickly increased over the first hour of the sorption (1.3 mg/g) and steadily raised over the remaining contact time by 12 h since the adsorption sites are more accessible at the beginning of the sorption process and diminished by the passage of time. The contact time of 12 h was chosen for the rest of experiments. The adsorption capacity (qe) of GGR for the removal of toluene vapor was 2.2 mg/g over the 12 h contact time. Table 2 compares the adsorption capacity of granular activated carbon (GAC), compost, diatomaceous earth, chaff, ground tire rubber (GTR), and GGR. The use of activated carbon may be prohibitive due to its high cost. The capacity of GGR in the removal of toluene is higher than the other natural adsorbents (e.g., compost, diatomaceous earth, and chaff).Table 2
Comparison between adsorption capacities of different adsorbents.
Adsorbents
GAC [11]
diatomaceous earth [20]
Compost [20]
Chaff [20]
GTR [11]
GGR
Adsorption capacity (mg/g)
10.62
2.00
1.43
0.89
0.398
2.2Due to the suitable pH, water holding capacity, chemical composition (Table1), and adsorption capacity, GGR is recommended as anew packing material for biofiltration.


#### 3.3.1. The Adsorption Kinetics

Adsorption kinetic models can be helpful to specify the effectiveness of a sorbent in the removing pollutants and to determine the sorption mechanism type. The experimental data of toluene adsorption by GGR were analyzed via two common kinetic models including pseudo-first-order and pseudo-second-order models. The pseudo-first-order kinetic model is shown by(2)ln(qe-qt)=lnqe-k1t,
where qe (mg/g) and qt (mg/g) are the quantity of toluene adsorbed onto GGR at equilibrium and at time (t), respectively. k1 (1/h) is the pseudo-first-order rate constant. k1 and qe were calculated from the slope and intercept of the straight plotting ln(qe-qt) versus t, respectively [8].The data obtained were also fitted by pseudo-second-order model. This adsorption kinetic can be correlated by  [33]
(3)tqt=1k2qe2+tqe.At the beginning stage of the adsorption, becauset is nearly equal to zero, the initial adsorption rate, h (g/mg·h), could be represented by
(4)h=k2qe2,
where qe and qt are the same as the pseudo-first-order model. k2 (g/mg·h) is the pseudo-second-order rate constant. k2 and qe are obtained from the intercept and slope of t/qt against t (see (3)), respectively [33].The pseudo-second-order kinetic model for the removal of toluene vapor by GGR is presented by Figure2(b). As shown, the higher correlation coefficient (R2=0.996) acquired by this model with respect to the pseudo-first kinetic model (R2=0.919) indicated that this model fitted the adsorption data better than the other kinetic models. Moreover, the calculated qe,cal (2.36 mg/g) through this kinetic model is rationally closer to experimental qe,exp (2.22 mg/g) (Table 3).Table 3
Parameters of pseudo-second-order kinetic model obtained from this study.
Adsorbate
q
e
,
experimental (mg/g)
Pseudo-second-order model
k
2 (g/mg·h)
h (g/mg·h)
q
e
,
calculated  (mg/g)
R
2
Toluene
2.22
0.29
1.67
2.36
0.996


### 3.4. The Effect of Adsorbate Concentration

The effect of initial toluene concentration in the range of 0.86 to 13.86 mg/L is presented in Figure3(a). As it can be observed, the GGR is saturated more rapidly as the toluene concentration in the polluted air was increased. This may be due to rising of the driving force of toluene such as van der Waal’s forces taking place at higher concentration of the pollutant.(a) The effect of toluene concentration on the adsorption by GGR (adsorbent dose = 0.6 g, temperature = 25°C, adsorbent humidity = 50%, and adsorbate Conc. = 0.86 to 13.86 mg/L). (b) Freundlich isotherm model.
(a)
(b)


#### 3.4.1. Adsorption Isotherms

Three adsorption isotherm models, Langmuir, Freundlich, and Dubinin-Radushkevich (D-R), were applied to analyze a relation between toluene concentration and the amounts of toluene adsorbed onto GGR.The Langmuir isotherm forecasts the maximum monolayer adsorption capacity of the adsorbent [34]. The isotherm is shown by
(5)Ceqe=CeQm+1bQm,
where Ce (mg/L) and qe (mg/g) are the pollutant concentration and the adsorption capacity of the sorbent at equilibrium time, respectively. b (L/mg) is the Langmuir constant and Qm (mg/g) is the maximum sorbent capacity. Qm and b are calculated by the intercept and slope of the plot of Ce/qe against Ce, respectively [34].The Freundlich isotherm model was employed for multilayer adsorption on a nonuniform adsorbent surface [35]. This isotherm model can be described by
(6)lnqe=lnkf+1nlnCe,
where kf  (L/g) and n are the isotherm constants. kf and n are obtained from the intercept and slope of plotting  lnqe versus lnCe (Figure 3(b)), respectively [35].The isotherm parameters are presented in Table4. The Freundlich isotherm model described the adsorption of toluene onto GGR very well (R2=0.992). Oh et al. (2009) showed that the adsorption of toluene vapors by wet compost, and ground tire rubber was modeled well by Freundlich isotherm [11]. The strong bond between pollutant and adsorbent occurs when the n value obtained from the Freundlich isotherm is more than 1 [8]. Thus, the n value of 1.04 achieved by this isotherm model suggested that toluene vapor is properly adsorbed by the adsorbent. Singh et al. (2010) reported that n value, obtained from Freundlich isotherm of toluene vapor removal with wood charcoal, was 0.73 [1]. The strength of adsorption bond between adsorbate and adsorbent (n value) obtained by Singh et al. (2010) is weaker than that of our study. Oh et al. (2009) also revealed that the n value obtained for the sorption of toluene via wet compost and ground tire rubber was in the range of 0.96–1.13 [11].Table 4
Langmuir, Freundlich, and D-R isotherm parameters for the adsorption of toluene onto GGR.
Adsorbate
Langmuir isotherm
Freundlich isotherm
D-R isotherm
Q
m (mg/g)
b (L/mg)
R
2
k
f
n
R
2
q
m (mg/g)
E (kJ/mol)
R
2
Toluene
3.76
0.18
0.724
0.94
1.04
0.992
3.14
1.38
0.887The Dubinin-Radushkevich isotherm (D-R) specifies that the type of adsorption process is chemical or physical in nature [36]. The D-R isotherm can be described as
(7)lnqe=lnqm-βε2,
where qm (mg/g) is the theoretical saturation sorption capacity, β (kJ/mol) is indicated as mean adsorption energy, and ε (Polanyi Potential) is equal to RTln(1+1/Ce). R (kJ/mol·K) is the universal gas constant and T (K) is the temperature. qm and β are determined by the intercept and the slope of plot of  lnqe versus ε2, respectively [36].The type of adsorption process is specified by theE value. E (kJ/mol) is the mean adsorption energy that is given by
(8)E=12β.
The E value in the range of 8–16 kJ/mol indicates that the chemical ion exchange occurs. E<8 kJ/mol indicates physical and E>16 kJ/mol chemical sorption process [34].Table4 shows that the E value of toluene adsorption by GGR is equal to 1.38 kJ/mol. Therefore, the adsorption of toluene by GGR was identified as physical in nature.


### 3.5. The Effect of Temperature

The effect of temperature in the range of 10–50°C on the adsorption of toluene vapor by GGR was investigated. Equations (9)–(12) were used for the determination of thermodynamic parameters such as enthalpy (ΔH), Gibbs-free energy (ΔG), and entropy (ΔS) [8]:
(9)ΔG=-RTlnk,(10)k=qeCe,(11)ΔG=ΔH-TΔS,(12)lnk=ΔSR-ΔHRT,
where k is the equilibrium constant and Ce, qe, and R are the same as defined before. The ΔS (J/mol·K)  and ΔH (kJ/mol) of the toluene sorption were calculated from the intercept and slope of the straight plotting lnk against 1/T (see (12)), respectively [8].The effect of temperature on the adsorption is shown in Figure4 and the thermodynamic parameters are presented in Table 5. According to Figure 4, the amount of toluene adsorption was reduced by increasing the temperature. The negative values of ΔG in the temperature range of 10–25°C (Table 5) suggested that the adsorption process was spontaneous and feasible, but its positive values indicated that the sorption was not favorable at the temperature of 30–50°C [33]. The reduction in the ΔG value by increasing temperature also indicated that the adsorption is not proper at higher temperatures [37]. Typically, the physical and chemical adsorption occurs while ΔG is between −20 to 0 kJ/mol and −40 to −400 kJ/mol, respectively [37]. The value of the ΔG obtained in this study demonstrated that the uptake of toluene by GGR is physical adsorption as it was found by D-R isotherm earlier. The negative value of adsorption enthalpy (ΔH) also supports that the adsorption process is exothermic in nature [37]. The comparisons between the toluene adsorption capacities at the various temperatures confirm this fact (Figure 4). The entropy change of toluene onto GGR was −150.48 J/mol·K. The negative value of ΔS indicated a reduction in the liberation of adsorbed toluene on GGR [38].Table 5
Thermodynamic parameters for the adsorption of toluene by GGR.
Δ
G (kJ/mol)
Δ
H (kJ/mol)
Δ
S (J/mol·K)
283 K
293 K
298 K
303 K
313 K
323 K
Toluene
−2.72
−1.21
−0.46
0.29
1.80
3.30
−45.33
−150.48Figure 4
The effect of temperature of media on the sorption of toluene (adsorbent dose = 0.6 g, humidity= 50%, contact time = 12 h, and adsorbate conc. = 6.928 mg/L).


## 3.1. Characterization of Media

The physical and chemical characteristics of GGR are presented in Table1.Table 1
Characteristics of the GGR (on the dry basis).
Parameters
Chemical composition (%)
CaO
4.83
SiO2
1.76
Al2O3
0.552
Fe2O3
0.317
SO3
0.243
MgO
0.186
Na2O
0.072
K2O
0.068
P2O5
0.062
SrO
0.046
Cl
0.030
ZnO
0.019
TiO2
0.017
CuO
0.011
C
44.6
H
5.33
N
1.47
Physical characteristics
pH
7.4
BET surface area (m2/g)
1.532
Particle diameter (cm)
0.5–1
Water holding capacity (g water/g dry GGR)
2.9
Bulk density (kg/m3)
37.62


## 3.2. The Effect of Adsorbent Humidity

The effect of adsorbent humidity (0–70%) on the sorption was determined. As can be seen in Figure1, the adsorption capacity was expanded by increasing the sorbent humidity up to 50 percent. The sorbent humidity higher than 50% may be due to the occupation of the media porosity by water content, leading to the reduction of the adsorption capacity. Acuña et al. (2000) found out that the variation of water content of peat as an adsorbent for the toluene vapors did not have significant effects on the sorption rate [32]. GGR with a humidity of 50 percent was used for the subsequent experiments.Figure 1
The effect of humidity of media on the sorption of toluene (adsorbent dose = 0.6 g, temperature = 25°C, contact time = 24 h, and adsorbate conc. = 6.928 mg/L).


## 3.3. The Effect of Contact Time

Figure2(a) shows the effect of contact time (0–24 h) on the adsorption of toluene by GGR. The adsorption as can be seen in the figure reached its maximum capacity by the elapse of time.(a) The effect of contact time on the removal of toluene by GGR (adsorbent dose = 0.6 g, temperature = 25°C, adsorbent humidity = 50%, and adsorbate conc. = 6.928 mg/L). (b) Pseudo-second-order kinetic model.
(a)
(b)The adsorption of toluene was quickly increased over the first hour of the sorption (1.3 mg/g) and steadily raised over the remaining contact time by 12 h since the adsorption sites are more accessible at the beginning of the sorption process and diminished by the passage of time. The contact time of 12 h was chosen for the rest of experiments. The adsorption capacity (qe) of GGR for the removal of toluene vapor was 2.2 mg/g over the 12 h contact time. Table 2 compares the adsorption capacity of granular activated carbon (GAC), compost, diatomaceous earth, chaff, ground tire rubber (GTR), and GGR. The use of activated carbon may be prohibitive due to its high cost. The capacity of GGR in the removal of toluene is higher than the other natural adsorbents (e.g., compost, diatomaceous earth, and chaff).Table 2
Comparison between adsorption capacities of different adsorbents.
Adsorbents
GAC [11]
diatomaceous earth [20]
Compost [20]
Chaff [20]
GTR [11]
GGR
Adsorption capacity (mg/g)
10.62
2.00
1.43
0.89
0.398
2.2Due to the suitable pH, water holding capacity, chemical composition (Table1), and adsorption capacity, GGR is recommended as anew packing material for biofiltration.


### 3.3.1. The Adsorption Kinetics

Adsorption kinetic models can be helpful to specify the effectiveness of a sorbent in the removing pollutants and to determine the sorption mechanism type. The experimental data of toluene adsorption by GGR were analyzed via two common kinetic models including pseudo-first-order and pseudo-second-order models. The pseudo-first-order kinetic model is shown by(2)ln(qe-qt)=lnqe-k1t,
where qe (mg/g) and qt (mg/g) are the quantity of toluene adsorbed onto GGR at equilibrium and at time (t), respectively. k1 (1/h) is the pseudo-first-order rate constant. k1 and qe were calculated from the slope and intercept of the straight plotting ln(qe-qt) versus t, respectively [8].The data obtained were also fitted by pseudo-second-order model. This adsorption kinetic can be correlated by  [33]
(3)tqt=1k2qe2+tqe.At the beginning stage of the adsorption, becauset is nearly equal to zero, the initial adsorption rate, h (g/mg·h), could be represented by
(4)h=k2qe2,
where qe and qt are the same as the pseudo-first-order model. k2 (g/mg·h) is the pseudo-second-order rate constant. k2 and qe are obtained from the intercept and slope of t/qt against t (see (3)), respectively [33].The pseudo-second-order kinetic model for the removal of toluene vapor by GGR is presented by Figure2(b). As shown, the higher correlation coefficient (R2=0.996) acquired by this model with respect to the pseudo-first kinetic model (R2=0.919) indicated that this model fitted the adsorption data better than the other kinetic models. Moreover, the calculated qe,cal (2.36 mg/g) through this kinetic model is rationally closer to experimental qe,exp (2.22 mg/g) (Table 3).Table 3
Parameters of pseudo-second-order kinetic model obtained from this study.
Adsorbate
q
e
,
experimental (mg/g)
Pseudo-second-order model
k
2 (g/mg·h)
h (g/mg·h)
q
e
,
calculated  (mg/g)
R
2
Toluene
2.22
0.29
1.67
2.36
0.996


## 3.3.1. The Adsorption Kinetics

Adsorption kinetic models can be helpful to specify the effectiveness of a sorbent in the removing pollutants and to determine the sorption mechanism type. The experimental data of toluene adsorption by GGR were analyzed via two common kinetic models including pseudo-first-order and pseudo-second-order models. The pseudo-first-order kinetic model is shown by(2)ln(qe-qt)=lnqe-k1t,
where qe (mg/g) and qt (mg/g) are the quantity of toluene adsorbed onto GGR at equilibrium and at time (t), respectively. k1 (1/h) is the pseudo-first-order rate constant. k1 and qe were calculated from the slope and intercept of the straight plotting ln(qe-qt) versus t, respectively [8].The data obtained were also fitted by pseudo-second-order model. This adsorption kinetic can be correlated by  [33]
(3)tqt=1k2qe2+tqe.At the beginning stage of the adsorption, becauset is nearly equal to zero, the initial adsorption rate, h (g/mg·h), could be represented by
(4)h=k2qe2,
where qe and qt are the same as the pseudo-first-order model. k2 (g/mg·h) is the pseudo-second-order rate constant. k2 and qe are obtained from the intercept and slope of t/qt against t (see (3)), respectively [33].The pseudo-second-order kinetic model for the removal of toluene vapor by GGR is presented by Figure2(b). As shown, the higher correlation coefficient (R2=0.996) acquired by this model with respect to the pseudo-first kinetic model (R2=0.919) indicated that this model fitted the adsorption data better than the other kinetic models. Moreover, the calculated qe,cal (2.36 mg/g) through this kinetic model is rationally closer to experimental qe,exp (2.22 mg/g) (Table 3).Table 3
Parameters of pseudo-second-order kinetic model obtained from this study.
Adsorbate
q
e
,
experimental (mg/g)
Pseudo-second-order model
k
2 (g/mg·h)
h (g/mg·h)
q
e
,
calculated  (mg/g)
R
2
Toluene
2.22
0.29
1.67
2.36
0.996


## 3.4. The Effect of Adsorbate Concentration

The effect of initial toluene concentration in the range of 0.86 to 13.86 mg/L is presented in Figure3(a). As it can be observed, the GGR is saturated more rapidly as the toluene concentration in the polluted air was increased. This may be due to rising of the driving force of toluene such as van der Waal’s forces taking place at higher concentration of the pollutant.(a) The effect of toluene concentration on the adsorption by GGR (adsorbent dose = 0.6 g, temperature = 25°C, adsorbent humidity = 50%, and adsorbate Conc. = 0.86 to 13.86 mg/L). (b) Freundlich isotherm model.
(a)
(b)


### 3.4.1. Adsorption Isotherms

Three adsorption isotherm models, Langmuir, Freundlich, and Dubinin-Radushkevich (D-R), were applied to analyze a relation between toluene concentration and the amounts of toluene adsorbed onto GGR.The Langmuir isotherm forecasts the maximum monolayer adsorption capacity of the adsorbent [34]. The isotherm is shown by
(5)Ceqe=CeQm+1bQm,
where Ce (mg/L) and qe (mg/g) are the pollutant concentration and the adsorption capacity of the sorbent at equilibrium time, respectively. b (L/mg) is the Langmuir constant and Qm (mg/g) is the maximum sorbent capacity. Qm and b are calculated by the intercept and slope of the plot of Ce/qe against Ce, respectively [34].The Freundlich isotherm model was employed for multilayer adsorption on a nonuniform adsorbent surface [35]. This isotherm model can be described by
(6)lnqe=lnkf+1nlnCe,
where kf  (L/g) and n are the isotherm constants. kf and n are obtained from the intercept and slope of plotting  lnqe versus lnCe (Figure 3(b)), respectively [35].The isotherm parameters are presented in Table4. The Freundlich isotherm model described the adsorption of toluene onto GGR very well (R2=0.992). Oh et al. (2009) showed that the adsorption of toluene vapors by wet compost, and ground tire rubber was modeled well by Freundlich isotherm [11]. The strong bond between pollutant and adsorbent occurs when the n value obtained from the Freundlich isotherm is more than 1 [8]. Thus, the n value of 1.04 achieved by this isotherm model suggested that toluene vapor is properly adsorbed by the adsorbent. Singh et al. (2010) reported that n value, obtained from Freundlich isotherm of toluene vapor removal with wood charcoal, was 0.73 [1]. The strength of adsorption bond between adsorbate and adsorbent (n value) obtained by Singh et al. (2010) is weaker than that of our study. Oh et al. (2009) also revealed that the n value obtained for the sorption of toluene via wet compost and ground tire rubber was in the range of 0.96–1.13 [11].Table 4
Langmuir, Freundlich, and D-R isotherm parameters for the adsorption of toluene onto GGR.
Adsorbate
Langmuir isotherm
Freundlich isotherm
D-R isotherm
Q
m (mg/g)
b (L/mg)
R
2
k
f
n
R
2
q
m (mg/g)
E (kJ/mol)
R
2
Toluene
3.76
0.18
0.724
0.94
1.04
0.992
3.14
1.38
0.887The Dubinin-Radushkevich isotherm (D-R) specifies that the type of adsorption process is chemical or physical in nature [36]. The D-R isotherm can be described as
(7)lnqe=lnqm-βε2,
where qm (mg/g) is the theoretical saturation sorption capacity, β (kJ/mol) is indicated as mean adsorption energy, and ε (Polanyi Potential) is equal to RTln(1+1/Ce). R (kJ/mol·K) is the universal gas constant and T (K) is the temperature. qm and β are determined by the intercept and the slope of plot of  lnqe versus ε2, respectively [36].The type of adsorption process is specified by theE value. E (kJ/mol) is the mean adsorption energy that is given by
(8)E=12β.
The E value in the range of 8–16 kJ/mol indicates that the chemical ion exchange occurs. E<8 kJ/mol indicates physical and E>16 kJ/mol chemical sorption process [34].Table4 shows that the E value of toluene adsorption by GGR is equal to 1.38 kJ/mol. Therefore, the adsorption of toluene by GGR was identified as physical in nature.


## 3.4.1. Adsorption Isotherms

Three adsorption isotherm models, Langmuir, Freundlich, and Dubinin-Radushkevich (D-R), were applied to analyze a relation between toluene concentration and the amounts of toluene adsorbed onto GGR.The Langmuir isotherm forecasts the maximum monolayer adsorption capacity of the adsorbent [34]. The isotherm is shown by
(5)Ceqe=CeQm+1bQm,
where Ce (mg/L) and qe (mg/g) are the pollutant concentration and the adsorption capacity of the sorbent at equilibrium time, respectively. b (L/mg) is the Langmuir constant and Qm (mg/g) is the maximum sorbent capacity. Qm and b are calculated by the intercept and slope of the plot of Ce/qe against Ce, respectively [34].The Freundlich isotherm model was employed for multilayer adsorption on a nonuniform adsorbent surface [35]. This isotherm model can be described by
(6)lnqe=lnkf+1nlnCe,
where kf  (L/g) and n are the isotherm constants. kf and n are obtained from the intercept and slope of plotting  lnqe versus lnCe (Figure 3(b)), respectively [35].The isotherm parameters are presented in Table4. The Freundlich isotherm model described the adsorption of toluene onto GGR very well (R2=0.992). Oh et al. (2009) showed that the adsorption of toluene vapors by wet compost, and ground tire rubber was modeled well by Freundlich isotherm [11]. The strong bond between pollutant and adsorbent occurs when the n value obtained from the Freundlich isotherm is more than 1 [8]. Thus, the n value of 1.04 achieved by this isotherm model suggested that toluene vapor is properly adsorbed by the adsorbent. Singh et al. (2010) reported that n value, obtained from Freundlich isotherm of toluene vapor removal with wood charcoal, was 0.73 [1]. The strength of adsorption bond between adsorbate and adsorbent (n value) obtained by Singh et al. (2010) is weaker than that of our study. Oh et al. (2009) also revealed that the n value obtained for the sorption of toluene via wet compost and ground tire rubber was in the range of 0.96–1.13 [11].Table 4
Langmuir, Freundlich, and D-R isotherm parameters for the adsorption of toluene onto GGR.
Adsorbate
Langmuir isotherm
Freundlich isotherm
D-R isotherm
Q
m (mg/g)
b (L/mg)
R
2
k
f
n
R
2
q
m (mg/g)
E (kJ/mol)
R
2
Toluene
3.76
0.18
0.724
0.94
1.04
0.992
3.14
1.38
0.887The Dubinin-Radushkevich isotherm (D-R) specifies that the type of adsorption process is chemical or physical in nature [36]. The D-R isotherm can be described as
(7)lnqe=lnqm-βε2,
where qm (mg/g) is the theoretical saturation sorption capacity, β (kJ/mol) is indicated as mean adsorption energy, and ε (Polanyi Potential) is equal to RTln(1+1/Ce). R (kJ/mol·K) is the universal gas constant and T (K) is the temperature. qm and β are determined by the intercept and the slope of plot of  lnqe versus ε2, respectively [36].The type of adsorption process is specified by theE value. E (kJ/mol) is the mean adsorption energy that is given by
(8)E=12β.
The E value in the range of 8–16 kJ/mol indicates that the chemical ion exchange occurs. E<8 kJ/mol indicates physical and E>16 kJ/mol chemical sorption process [34].Table4 shows that the E value of toluene adsorption by GGR is equal to 1.38 kJ/mol. Therefore, the adsorption of toluene by GGR was identified as physical in nature.


## 3.5. The Effect of Temperature

The effect of temperature in the range of 10–50°C on the adsorption of toluene vapor by GGR was investigated. Equations (9)–(12) were used for the determination of thermodynamic parameters such as enthalpy (ΔH), Gibbs-free energy (ΔG), and entropy (ΔS) [8]:
(9)ΔG=-RTlnk,(10)k=qeCe,(11)ΔG=ΔH-TΔS,(12)lnk=ΔSR-ΔHRT,
where k is the equilibrium constant and Ce, qe, and R are the same as defined before. The ΔS (J/mol·K)  and ΔH (kJ/mol) of the toluene sorption were calculated from the intercept and slope of the straight plotting lnk against 1/T (see (12)), respectively [8].The effect of temperature on the adsorption is shown in Figure4 and the thermodynamic parameters are presented in Table 5. According to Figure 4, the amount of toluene adsorption was reduced by increasing the temperature. The negative values of ΔG in the temperature range of 10–25°C (Table 5) suggested that the adsorption process was spontaneous and feasible, but its positive values indicated that the sorption was not favorable at the temperature of 30–50°C [33]. The reduction in the ΔG value by increasing temperature also indicated that the adsorption is not proper at higher temperatures [37]. Typically, the physical and chemical adsorption occurs while ΔG is between −20 to 0 kJ/mol and −40 to −400 kJ/mol, respectively [37]. The value of the ΔG obtained in this study demonstrated that the uptake of toluene by GGR is physical adsorption as it was found by D-R isotherm earlier. The negative value of adsorption enthalpy (ΔH) also supports that the adsorption process is exothermic in nature [37]. The comparisons between the toluene adsorption capacities at the various temperatures confirm this fact (Figure 4). The entropy change of toluene onto GGR was −150.48 J/mol·K. The negative value of ΔS indicated a reduction in the liberation of adsorbed toluene on GGR [38].Table 5
Thermodynamic parameters for the adsorption of toluene by GGR.
Δ
G (kJ/mol)
Δ
H (kJ/mol)
Δ
S (J/mol·K)
283 K
293 K
298 K
303 K
313 K
323 K
Toluene
−2.72
−1.21
−0.46
0.29
1.80
3.30
−45.33
−150.48Figure 4
The effect of temperature of media on the sorption of toluene (adsorbent dose = 0.6 g, humidity= 50%, contact time = 12 h, and adsorbate conc. = 6.928 mg/L).


## 4. Conclusion

In this study,Glycyrrhiza glabraroot (GGR) waste was used as a novel adsorbent for the adsorption of toluene vapor from gaseous media. The effect of different conditions including contact time, adsorbate concentration, humidity, and temperature on the adsorption was investigated. The pseudo-second-order kinetic model and Freundlich model fitted the adsorption data better than other kinetic and isotherm models, respectively. The D-R isotherm also showed that the sorption by GGR is physical in nature. The results of the thermodynamic analysis (negative value of obtained ΔH) corroborate that this adsorption process is exothermic. This adsorbent is a waste material with a sorption capacity of 2.2 mg/g. In comparison with other natural sorbents (e.g., compost, diatomaceous earth, and chaff), GGR seems to be a cost-effective sorbent in the removal of toluene vapor.



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*Source: 986083-2013-03-11.xml*