Environ Eng Res > Volume 25(5); 2020 > Article
Yadav, Maddheshiaya, Rawat, and Singh: Adsorption and equilibrium studies of phenol and para-nitrophenol by magnetic activated carbon synthesised from cauliflower waste

### Abstract

In this study, waste cauliflower leaves were used for adsorbent preparation. The waste cauliflower leaves were converted into activated carbon by pyrolysis at two different temperatures 250°C and 500°C with magnetic property. The prepared adsorbents were denoted as CAC-250 and CAC-500 and characterized by the use of scanning electron microscope (SEM), energy dispersive spectroscopy (EDS), Fourier transform infrared spectroscopy (FTIR) and X-ray diffraction (XRD). The adsorbents were applied for the removal of phenol and PNP from their aqueous solutions. The adsorption of phenol was found very less by the application CAC-250, whereas by the application of CAC-500 the adsorption of both phenol and PNP was enhanced. The maximum adsorption of phenol was found 99% and that of PNP was found ~100% using CAC-500, with initial adsorbate concentration 5 mg/L at 25°C. The adsorption data was analysed with Langmuir, Freundlich and Temkin isotherm models and different kinetic models that are pseudo first order, pseudo second order, Elovich, intraparticle and pore diffusion model.

### 1. Introduction

Increasing urbanization, population, and industrial growth have led to increased degradation of the environment through the discharge of various pollutants to the environment. The contamination of water with organic pollutants such as phenols increases the scarcity of drinking water [1]. A continuous release of phenols from petrochemical industries, coal conversion, and other phenol-releasing industries result in surface water and groundwater contamination [2]. Phenolic compounds are considered toxic hazards to the environment due to their low biodegradation rate and they get bioaccumulated in nature that has deleterious effects, and impacts on the environment [3]. Phenol imparts bad taste and odor to the water [4]. It also creates an oxygen demand in water bodies. Phenol is a non-polar organic molecule that less soluble in water, whereas PNP is a water-soluble solid [5]. Both are slightly acidic in an aqueous solution. According to the US Environmental Protection Agency (USEPA), PNP is among the most toxic, non-biodegradable, and bioaccumulative chemical compounds [6] and phenol is also categorized by USEPA as an organic pollutant with priority toxicity due to its higher toxicity, mutagenic and carcinogenic properties [7]. Code of Federal has regulated the maximum discharge of PNP 576 μg/L per day to control its discharge in water bodies [5] Phenol and PNP pose serious harm to the organisms at very low concentrations. The low solubility of phenol in water means that phenol and its derivatives have a half-life in the range of 2 and 72 [8]. They have high stability and carcinogenic nature and are reported to cause considerable damage and risk to human health. Considering these hazardous impacts of phenols, US Environmental Protection Agency gives the permissible limit in wastewater as less than 1mg/L [1] p-nitrophenol (PNP) is a common intermediate chemical compound in the pharmaceutical and pesticide industry [9]. PNP is also produced in many chemical processes like petrochemical, plastic, paint, pulp, paper mill processes, and oil refineries [10]. The molecular structure of phenol includes a benzene ring containing a hydroxyl group; it is a planar molecule. It is a representative of the hazardous aromatic compound range with low solubility in water [11]. Hence removal of these organic pollutants from the effluent is necessary before discharging it into a water body. During chlorination of water containing phenols, chlorinated phenols are formed which have organoleptic properties.
Various methods have been used for the removal of phenol and its derivatives from water, including adsorption [1213], membrane filtration [1415], bio-electrochemical treatment [16], electrochemical oxidation [17], ion exchange [18], solvent extraction [19] and fenton degradation [20]. Along with these methods, some detrimental techniques like incineration, ozonation are also applied for the treatment of phenolic contamination [21]. Along with biodegradation, adsorption is one of the primary water treatment processes employed for the purification of water because of the ease of operation, suitability, design simplicity, high removal efficiency, and wide area of application [22]. Water purification by means of adsorption is an attractive approach as it is a flexible technique that can be applied to a range of contaminants and at varying operating conditions without impacting on removal efficiency. A variety of adsorbents are used for the removal of phenol from water, and activated carbon (AC) is the most widely used adsorbent [21]. The cost of the adsorption process is mainly related to selection of the adsorbent. Although AC is highly efficient in removing organic and inorganic contaminants, the application of AC is limited due to its prohibitive cost and the time involved in preparation and regeneration of the adsorbent.
Preparation of an adsorbent with high removal efficiency and with low development and operational cost is necessary. Recent research has focused on the preparation of low-cost adsorbents to reduce the operating costs of adsorption. Recently several studies have been published on low cost adsorbents with high adsorption potential, such as natural zeolite [23], treated waste newspaper [24], canola residue [25], olive mill waste [26], and corn cob residue synthesized hydrochar [27]. Many researchers have proposed utilization of agricultural waste as a raw material for adsorption, as agricultural waste is reported to have high adsorption potential with low cost and high availability [28].
The aim of the present study is to synthesize a low-cost adsorbent using an agriculture waste, namely, waste cauliflower leaves, and investigate its application in the removal of phenol and PNP from aqueous solutions. In developing countries like India, waste cauliflower leaves are a common vegetable waste produced in large quantities, which has high moisture content. Improper disposal of this waste creates a public nuisance. Hence, utilization of this food waste in adsorbent preparation will assist in the management of this solid waste. In the present study, AC was synthesized from waste cauliflower leaves at two different temperatures, 250°C and 500°C, and these adsorbents were applied for the removal of phenol and PNP from water.

### 2.1. Chemicals and Reagents

The raw material (waste cauliflower leaves) used for the preparation of adsorbents was collected from a local market. Ferric chloride, amino anti-pyrene, phenol and p-nitrophenol, and other chemicals were purchased from Sigma-Aldrich and Thermo Fisher Scientific. All the chemicals used in this study were of analytical grade and used directly without any further purification.

The collected waste cauliflower leaves were cleaned and rinsed with distilled water several times, dried in a hot air oven for 24 h at 105°C and then ground into fine powder and sieved with 250 microns mesh. The proximate analysis of the leaf powder was carried out. The magnetization of the adsorbent was done following the method of Lunge et al. [29]. A total of 30 g of leaf powder was mixed with 150 mL of 10% FeCl3 solution in a 250 mL beaker. The material was then stirred for 4nh on a magnetic stirrer with a hot plate, following which the content was kept overnight to allow for thorough mixing of FeCl3 with the leaf powder. The resultant material was then pyrolyzed in a muffle furnace to prepare magnetic AC. Preparation of the adsorbent was done at two different operating temperatures, 250°C, and 500°C. The adsorbent synthesized at 250°C was termed cauliflower synthesized AC 250 (CAC-250) and the other synthesized at 500°C was termed cauliflower synthesized AC 500 (CAC-500).

### 2.3. Characterization of the CAC-250 and CAC-500

The surface morphology of the adsorbents was examined using a scanning electron microscope (JSM 4490, JEOL, Japan) equipped with energy dispersive x-ray spectroscopy. The adsorbents were analyzed to identify surface functional groups using Fourier-transform infrared spectroscopy (FTIR) (NICOLET 6700, Thermo Fisher Scientific U.S.A.) analysis before and after adsorption of phenol and PNP. The powder x-ray diffractometer (PW 3040/60 PanAlytical. Netherlands) was used for the X-ray diffraction (XRD) analysis of the CAC-250 and CAC-500 adsorbents. The samples were scanned in the range of 10 to 80°at a rate of 2°/min. The surface charge (pHZPC) of the adsorbent s CAC-250 and CAC-500 was determined.

### 2.4. Batch Adsorption Studies of Phenol and PNP

The percentage adsorption and adsorption amount (qt, mg/g) were determined using the equations (1) and (2), respectively:
##### (1)
$% Adsorption=(C0-Ct)C0×100$
##### (2)
$qt=(C0-Ct)×Vm$
Where, C0 and Ct are the concentration of phenol and PNP initially and at a time (t), respectively; V and m are the volume of solution in liters and mass of the adsorbent, respectively.

### 3.1. Proximate Analysis of Waste Cauliflower Leaves

Proximate analysis of waste cauliflower leaves was conducted to determine the moisture, ash, volatile organic matter, and fixed carbon content of the raw material. The moisture content of the waste was 70.3%, ash content was 4.6%, volatile content was 3.3%, and total carbon content was 21.8%.

### 3.2. Characterization of Synthesized Adsorbent

#### 3.2.1. SEM and EDS analysis

The surface of the synthesized magnetic AC from waste cauliflower leaves was done using scanning electron microscope (SEM). The SEM images of CAC-250 and CAC-500 are presented in Fig. 1(a) and (b) the images show that the particles of the synthesized adsorbents have a rough surface and an irregular shape. The particles of CAC-500 show greater clustering in comparison with CAC-250, that is may be due to the comparatively higher magnetic property of CAC-500 due to it higher iron content.
The elemental composition of the adsorbents is shown in Fig. 1(a) and (b). Both the adsorbents have different elemental composition. In CAC-250, the maximum weight percentage of the carbon is 52.54% and iron is only 13.41%, whereas, in CAC-500, the maximum weight percentage of iron is 47.17% and carbon content is 27.27%. This indicates that a greater amount of iron is fixed at a higher temperature which increases the magnetism.

#### 3.2.2. Functional group analysis

Fig. 1(c) shows FTIR spectrum of CAC-250 before and after the adsorption of phenol and PNP. The Figure indicates similar peaks in the graphs. The peak 2,915 cm−1 and 2853 cm−1 correspond to the stretching in –CH bond, the peaks 1,663 cm−1, 1,553 cm−1, and 1447 cm−1 correspond to the stretching of –CO, -NH and CH3 groups, the peak 1,026 cm−1 represents –CO group, and the peaks at 790 cm−1 and 697 cm−1 correspond to the –CH stretching. Fig. 1(d) shows the FTIR spectrum of CAC-500 before and after adsorption of phenol and PNP. Some of the peaks are similar indicating the possible presence of the same functional groups, like peak 532 cm−1 and 454 cm−1 that correspond to the presence of iron. These peaks were absent in the spectrum of CAC-250 possibly due to less binding of iron with CAC-250. The peak 3,410 cm−1 present in the spectrum after adsorption of phenol relates to the –OH stretch in the phenol [30]. The peaks 1,706 cm−1 and 1,170 cm−1 may correspond to the –C=O and –C-O bond, respectively.

#### 3.2.3. XRD analysis

The results of the XRD analysis of both the adsorbents are shown in Fig. 1(e). The result illustrates the CAC-250 spectrum and shows two sharp peaks of carbon with many chaos peaks. The spectrum of CAC-500 shows some sharp peaks along with the carbon peaks, indicating the presence of Fe2O3 and Fe3O4 [31] which confirms coating of CAC-500 with FeCl3. The sharp peaks indicate the crystalline nature of the adsorbents.

#### 3.2.4. pHZPC

The pHZPC of the synthesized adsorbents was determined by following the procedure described by Singh et al. [32]. Taken a 50 mL 0.01 M solution of NaCl in different beakers and pH of the solution was adjusted in the range of pH 2 to 10 with the addition of 0.1M HCl and 0.1M NaOH solutions. Then 0.2 g adsorbent was added to the solution and kept for shaking for 48 h and then the final pH was measured. A plot between initial pH and final pH is shown in the Fig S1. The pHZPC of the CAC-250 was 3.8 while that of CAC-500 was 4.8. The results indicate that the net surface of the adsorbents was positive below the pHZPC value and negative above the pHZPC value.

### 3.3. Batch adsorption of Phenol and PNP

#### 3.3.1. Effect of adsorbent concentration

The efficiency of the adsorption process depends on the number of available active adsorption sites. Increasing the adsorbent dose results in an increase in the number of active adsorption sites and increases adsorption of phenol and PNP [33]. In this work, adsorption of phenol and PNP was performed with different dosages of CAC-250 and CAC-500 in the range of 0.5 g/L to 3.0 g/L at different time interval upto 300 min, with an initial concentration of phenol of 5 mg/L and PNP of 10 mg/L at 25°C temperature.

#### 3.3.2. Effect of initial concentration of phenol and PNP and effect of contact time

The variation in the adsorption of phenol and PNP at different contact times was studied and the results are shown in Fig. 2(a)–(f) and Fig. 3(a)–(f). As the figure illustrates, the adsorption of phenol and PNP by application of both the adsorbents was increased with increasing contact time up to 240 min for phenol and 180 min for PNP (except for a few cases). Beyond this contact time, the adsorption percentage roughly stabilized, and there was no further significant increase in the adsorption which indicates that the adsorption process reached an equilibrium at 240 and 180 min for phenol and PNP, respectively.

#### 3.3.4. Effect of temperature on the adsorption process

Temperature has a significant effect on adsorption. As shown in Fig. 3(c)–(e), the adsorption of phenol and PNP using both adsorbents CAC-250 and CAC-500 was an exothermic process. The adsorption percentage of phenol and PNP was reduced on increasing temperature; the maximum removal of phenol and PNP was 99.76% and 94.89%, respectively, using CAC-500. The adsorption amount of phenol and PNP decreased from 1.65 to 1.54 mg/g and 4.74 to 4.17 mg/g, respectively, with increasing temperature.

### 3.4. Study of Adsorption Isotherms

The Langmuir adsorption isotherm considers adsorption of solute in a single layer, uniformly on to an adsorbent surface. The equation of the Langmuir Isotherm can be expressed as given below [42]:
##### (3)
$Ceqe=1Q0b+CeQ0$
Where, Ce is the equilibrium concentration of phenols and PNP (mg/L) and qe is the number of phenols, and PNP adsorbed per gram of adsorbent (mg/g). The Langmuir constant Q0 and b represent the maximum adsorption capacity of CAC-250 and CAC-500 and rate of adsorption, respectively. Values of Q0 and b can be determined by the slope and intercept of the Ce versus Ce/qe plot (Fig. 4(b)). The value of Q0 for CAC-250 was found to be higher for phenol (15.92 mg/g), while the value of Q0 for CAC-500 was found to be higher for PNP (37.73 mg/g). Values for the Langmuir isotherm parameters are given in Table 1.
RL (the dimensionless constant) is an essential feature of the Langmuir isotherm. It can be expressed as follows:
##### (4)
$RL=1(1+bC0)$
Here, b and C0 are the Langmuir constant and initial adsorbate concentration. The RL value represents the favorability of the adsorption process. If the value of RL > 1 it represents unfavorable adsorption, RL = 1 represents a linear isotherm, and 0 < RL < 1 represents a favorable process of adsorption. The RL value for phenol adsorption was found to be 0.44 and 0.05 for CAC-250 and CAC-500, respectively. The values of RL for PNP adsorption were found to be 0.10 and 0.02 for CAC-250, and CAC-500, respectively, i.e., between 0 and one, indicates that the adsorption process for both adsorbents is favorable.

#### 3.4.2. Freundlich Isotherm

The Freundlich isotherm equation is given below:
##### (5)
$lnqe=lnKF+(1n)lnCe$
Where, qe and Ce are the adsorption quantity (mg/g) and concentration of adsorbate (mg/L) at equilibrium. The Freundlich constants KF and n are the adsorption capacity (mg/g(L/mg)1/n) and adsorption favorability, respectively. Values of both constants can be obtained from the slope and intercept of the plot between lnCe and lnqe (Fig. 4(c)), and the values are shown in Table 1. A value of slope (1/n) between 0–1 indicates the heterogeneous nature of the adsorbent surface.

#### 3.4.3. Temkin Isotherm

The Temkin model assumes a decrease in the adsorption heat of all the molecules in the layer, caused by interaction between the adsorbent and adsorbate. The decrease is linear with coverage and a characteristic feature of the adsorption process is the even distribution of binding energies up to maximum binding energy. The equation for Temkin isotherm is represented below in Eq. (6) [6]:
##### (6)
$qe=BTlnAT+BTlnCe$
Where, qe and Ce are the amounts of phenol and PNP adsorbed on CAC-250 and CAC-500 (mg/g) and the concentration of phenol and PNP (mg/L), respectively. The Temkin isotherm constant is given by BT, which is the adsorption heat (L/g). The Temkin isotherm equilibrium binding constant is given by AT which is dimensionless. The plots for the Temkin isotherm are shown in Fig. 4(d). The values of BT and AT are represented in Table 1.
On comparing data of the all three isotherms, the adsorption of phenol is explained well with the Freundlich for CAC-250, however for CAC-500 the values of R2 for Langmuir isotherm and for Freundlich isotherm were comparable, whereas the adsorption of PNP fitted well with Freundlich isotherm.

### 3.5. Kinetics study

The kinetics for the adsorption process of phenol and PNP on the CAC-250 and CAC-500 was tested by the application of five primary kinetic models that are pseudo first order, pseudo second order, Elovich, intraparticle diffusion and Bangham’s pore diffusion model.
The pseudo-first-order kinetics rate expression as given by Hameed and Ahmad [43]:
##### (7)
$log qe-qt=logqe-(k12.303) t$
Here, qe and qt represent the adsorption quantity (mg/g) of phenol and PNP at an adsorption equilibrium state and at a time (t). The value k1 represents the adsorption rate constant of phenol and PNP. From the plot of log (qeqt) versus time (t), the value of k1 can be calculated (Fig. S2).
The expression for the pseudo-second-order is represented below [44]:
##### (8)
$tqt=1k2qe2+1qet$
Where k2 is constant (g/(mg min)) for the pseudo-second-order and qe is the adsorption amount of phenol and PNP, and their values can be evaluated from the slope and intercept of the plot of t/qt versus t (Fig. S3).
The below Eq. (9) shows the Elovich kinetic model:
##### (9)
$qt=1β ln(αβ)+1β Int$
Where, qt express the amount of phenol and PNP adsorbed on the adsorbent at t time (mg/) and α and β represents the constant for Elovich kinetic model. α is related with the chemisorptions and β is related with the surface coverage extent, values of these constants was obtained by the slope and intercept of the plot between qt and lnt (Fig. S4).
The intraparticle diffusion model is mainly applied to rate-limiting state adsorption systems. Via intraparticle diffusion, the adsorbate from the bulk state is transferred to the liquid phase [32]. The equation for intraparticle diffusion is represented below [45]:
##### (10)
$qt=kit1/2+C$
Here, ki (mg/g min1/2) is the rate constant for intraparticle diffusion and the constant C is related with the boundary layer thickness, a higher value of C represents the higher boundary layer effect. The application of intraparticle diffusion model is done in three various forms first the straight line passes through the origin which means amount of adsorption at any time, second is when plot qt versus t1/2 is multi liner which represents the involvement of two or three process in the adsorption and third one which has a straight line that not passes through the origin necessarily (has positive intercept) which indicates that in a short period of time a rapid adsorption has taken place [46]. Intraparticle diffusion is the sole rate-limiting step if the plot of qt versus t1/2 gives a linear regression that passes through the origin. However, in this study, the linear plots of the phenol and PNP at each concentration do not pass through the origin (Fig. S5); therefore, for the adsorption process of phenol and PNP, intraparticle diffusion is not the only rate limiting step, however, the plot of intraparticle has straight with positive intercept value that shows the rapid adsorption of phenol and PNP in short time period.
The banghman’s pore diffusion model was also applied to the adsorption data of phenol and PNP. The equation for the pore diffusion model is given below [3]
##### (11)
$[log(C0C0-qt×m)]=log(kdiff×m2.303×V)+α log t$
Here, C0 denotes the initial phenol and PNP concentration (mg/L), qt denotes the adsorbed amount of phenol and PNP at time t (mg/g) while, V denotes the volume of the solution treated (mL) and m denotes the weight of the adsorbent used. α and kdiff are the constants for the pore diffusion model that are evaluated from the slope and intercept of the log[log(Co/C0−qt × m)] versus log t plot (Fig. S6).
The derived values for all the kinetic models are listed in Table S1 and Table S2. The regression coefficient (R2) of pseudo second order was found maximum that was more than 0.99. It was found that the adsorption of phenol and PNP was best described by the pseudo-second-order kinetics.

### 3.6. Thermodynamics

The value of the thermodynamic parameters, enthalpy (ΔH; kJ/mol), entropy (ΔS; kJ/mol) and Gibbs free energy (ΔG; kJ/mol) was estimated by the equation given below [47]:
##### (12)
$Kc=qeCe$
##### (13)
$lnKc=ΔSR-ΔHRT$
##### (14)
$ΔGo=-RTlnKc$
Where, R (8.314 J/mol K) is gas constant, qe (mg/g) the adsorbed amount of adsorbate at equilibrium, Ce (mg/L) concentration of phenol and PNP at equilibrium, Kc (L/g) and T (K) is absolute temperature. The values of ΔH° and ΔS° can be evaluated by the slope and intercept of lnKc and 1/T plot as shown in Fig. 4(e) and (f). The values of thermodynamic parameters are shown in Table 3.
The negative value of ΔH° (from −24.48 to −67.10 J/mol), indicates an exothermic adsorption process and indicates the release of heat during adsorption. The exothermic process mainly represents the physio-sorption or chemisorptions process, physio-sorption is characterized by the value ΔH° lower than 41.86 kJ/mol while this value reaches upto 100 kJ/mol for a chemisorption processes, in the present study the value of enthalpy is less than 41.86 kJ/mol which represents that the adsorption process is physical in nature. The negative ΔS° also supports the physio-sorption process of phenol and PNP adsorption. The value of ΔG° is positive for all the adsorption processes and increases with an increase in temperature.
The Table 2 represents the adsorption capacities of different adsorbents for the adsorption of phenol and PNP. The adsorption capacity of adsorbents prepared in the present study is not maximum but it is better from the other reported adsorbents. However, a comparatively easy synthesis with magnetic property and the utilization of waste biomass for adsorbent preparation make its application less costly and effective for the removal of these organic polllutants.

### Acknowledgments

The authors are grateful to the Science and Engineering Research Board- Department of Science and Technology (SERB-DST) (project No. ECR/2016/001924) for providing financial support for this work. The authors are also thankful to the University Sophisticated Instrumentation Centre (USIC), BBAU, Lucknow for their kind help in the characterization of the materials.

### Notes

Author Contributions

Ms. N.Y. and Mr. D.N.M. (M.Sc. Student) have done all the experiments. S.R. (Ph.D. student) has drafted the manuscript and Dr. J.S. (Assistant Professor) is the corresponding author who had supervised the work and made all the possible corrections in the manuscript.

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##### Fig. 1
(a) SEM and EDS image of CAC-250 and (b) CAC-500, (c) FTIR spectra of CAC-250 and (d) CAC-500, respectively and (e) XRD analysis of CAC-250
##### Fig. 2
Effect of adsorbent dose on phenol adsorption using (a) CAC-250 and (b) CAC-500, respectively. Effect of adsorbent dose on PNP adsorption using (c) CAC-250 and (d) CAC-500, respectively, effect of initial concentration of phenol on adsorption by application of (e) CAC-250 and (f) sCAC-500, respectively, effect of initial concentration of PNP on adsorption by application of (d) CAC-250 and (e) CAC-500, respectively.
##### Fig. 3
Effect of initial PNP concentration using (a) CAC-250 and (b) CAC-500, respectively, effect of different temperature on the adsorption of phenol by the application of (c) CAC-250 and (d) CAC-500, respectively, effect of different temperature on the adsorption of PNP by the application of (e) CAC-250 and (f) CAC-500, respectively.
##### Fig. 4
(a) Effect of pH on phenol and PNP adsorption, and (b) Plots for Langmuir, (c) Freundlich and (d) Temkin adsorption isotherm, respectively, and Thermodynamics plots for the adsorption of (e) Phenol and (f) PNP, respectively.
##### Fig. 5
Proposed mechanism for adsorption of phenol and PNP.
##### Table 1
Values of Langmuir, Freundlich and Temkin Isotherm Parameters for the Adsorption of Phenol and PNP
Isotherms Parameters

CAC-250 CAC-500

Phenol PNP Phenol PNP
Langmuir Isotherm Q0 (mg/g) 15.923 13.28 9.671 37.735
b (L/mg) 0.031 0.2027 0.457 0.871
RL 0.441 0.109798 0.051 0.027
R2 0.916 0.9733 0.953 0.934

Freundlich Isotherm KF (mg/g(L/mg)1/n) 1.414 2.597 3.616 15.89
n 1.4 2.014 3.437 2.901
R2 0.990 0.980 0.943 0.944

Temkin Isotherm AT 0.42943 2.451486 39.36288 55.3677
BT 2.8929 2.6972 1.1635 4.8235
R2 0.9406 0.9721 0.8024 0.8123
##### Table 2
Phenol PNP

Z16 and C16 modified montmorillonite (C16-Mt) 9.9 and 13.76 respectively [41] Activate carbon fibres 384.62 [48]
Activated carbon prepared from tobacco residue 17.83 [36] Olive cake base activated carbon 1.550 [6]
Multiwalled carbon nanotubes 32.25 [42] Salycilaldehyde modified chitosan (CS-SA) 8.5 [49]
CAC-250 15.923 Present study CAC-250 13.28 Present study
CAC-500 9.671 Present study CAC-500 37.73 Present study
##### Table 3
Values for thermodynamic parameters for the adsorption of phenol and PNP
Parameters Temperature (K) CAC 250 CAC 500

Phenol PNP Phenol PNP
ΔG° (KJ/mol) 298 35.61 22.28 56.235 30.733
308 36.81 23.03 58.125 31.765
318 38.01 23.78 60.014 32.798
328 39.20 24.52 61.903 33.830

ΔH° (J/mol) −34.95 −24.48 −67.1015 −35.574

ΔS° (J/mol K) −119.63 −74.86 −188.936 −103.252
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