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Carboxylic acid functionalized para-xylene based hypercrosslinked polymer as a novel and high performance adsorbent for heavy metal removal
⁎Corresponding author at: School of Chemical, Petroleum and Gas Engineering, Iran University of Science and Technology, PO Box: 16846-13114, Iran. aghaemi@iust.ac.ir (Ahad Ghaemi)
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Received: ,
Accepted: ,
This article was originally published by Elsevier and was migrated to Scientific Scholar after the change of Publisher.
Abstract
In this work, hypercrosslinked polymeric adsorbent (HCP) was synthesized from para-Xylene precursor through Friedel-Crafts reaction. Additionally, heavy metal adsorption experiments from a multi component system including lead, cadmium, nickel, and copper ions were conducted. To enhance lead uptake selectivity over other metallic ions, the resulting HCP sample was functionalized through carboxylic acid incorporation into the HCP adsorbent skeleton. The adsorption process modeling was carried out by using Central Composite Design- Response Surface Methodology technique. In addition, the adsorption capability dependency of the resulting samples to the operational condition including temperature from 25 °C to 65 °C, solution pH value from 4 to 10, and solution initial concentration from 20 mg/l to 100 mg/l was investigated. Additionally, process optimization was applied aim to maximize the lead uptake selectivity, the optimal condition including a temperature of 31.8 °C, pH of 5.0, and initial concentration of 82.50 mg/l were obtained for HCP sample, also the optimal condition namely a temperature of 30 °C, pH of 5.5, and initial concentration of 100 mg/l were obtained for modified HCP sample. As a result of isotherm modeling, the Hill model was obtained as the best model, additionally, thermodynamically investigation of the process resulted in spontaneously and physically adsorption of the metallic ions by HCP samples, with respect to Gibbs free energy ( < 0) and adsorption process enthalpy ( < 20 kJ/mol). Finally, adsorbents regeneration were evaluated and minor losses in the adsorption capacity of samples were yielded after ten cycles.
Keywords
Heavy metal adsorption
Carboxylic acid functionalization
Selectivity
Response Surface Methodology

Nomenclature
- Ce
-
Equilibrium concentration
- kL
-
Langmuir model constant (L/mg)
- kF
-
Freundlich model constant (mg(1−1/nf).L(1/nf)/g)
- kh
-
Hill model constant (L/mg)
- Kd
-
Distribution factor
- m
-
mass of adsorbent(g)
- V
-
Solution volume (ml)
- q
-
adsorption capacity (mg/g)
- qe
-
equilibrium adsorption capacity (mg/g)
- qm
-
maximum adsorption capacity (mg/g)
- R2
-
correlation coefficient
- AARD
-
Absolute Average Relative Deviation (%)
- T
-
temperature (°C)
- w
-
mass of adsorbent (g)
-
Enthalpy change
-
Entropy change
-
Gibbs free energy change
- DCE
-
Dichloro Ethane
- FDA
-
Formaldehyde Dimethyl Acetal
- HCP
-
Hyper Cross-linked Polymer
- POPs
-
Porous Organic Polymers
- MOFs
-
Metal Organic Frameworks
- MPV
-
micro pore volume
- MPA
-
micro pore area
- APW
-
average pore width
- EDS
-
Energy Dispersive X-ray Spectroscopy
- FTIR
-
Fourier transform infrared
- PSD
-
pore size distribution
- BET
-
Brunauer Emmett Teller
- ICP-OES
-
Inductively Coupled Plasma- Optical Emission Spectrometry
- RSM
-
Response Surface Methodology
- CCD
-
Central Composite Design
1 Introduction
Heavy metal ions define as a specific group of metals with a specific gravity value higher than 5 and molecular weight between 63.5 g/mol and 200.6 g/mol. This group of metals such as copper (Cu), iron (Fe), nickel (Ni), mercury (Hg), cobalt (Co), cadmium (Cd), etc. have high toxicity at low concentration even in ppb level (Masoumi et al., 2021). Heavy metals are stable pollutants that emote to environments through anthropogenic or natural resources. In contrast to organic pollutant, this type of pollutant is not degradable in the environment, and accumulation of these metal ions on human texture have major consequence such as neural system dysfunction, cancer, anemia, respiratory problems, skin destruction, kidney failure, etc. Thus, the heavy metal ions removing from industrial sewage is an efficient technique for the prevention of heavy metal accumulation in the environment (Masoumi et al., 2021). A series of methods have been investigated for metallic ions removal from wastewater such as electrochemical reduction (Chen et al., 2013), membrane separation (Castro-Muñoz et al., 2021), chemical precipitation (Chen, 2018), ion exchange (Hubicki and Kołodyńska, 2012), solvent extraction (Shih et al., 2019), biological removal (Ubando, 2021), and adsorption (Masoumi et al., 2021; Wang et al., 2019; Li, 2018; Fiyadh, 2019). Among the mentioned methods the adsorption method is a favorable technique to remove metal ions from wastewater due to raw materials availability, reduction of toxic substance production, low energy consumption, and ability to adsorb the metal ions even at a low concentration (Huang, 2021). The adsorption process involves attaching liquid or gas molecules to an adsorbent’s surface. Adsorption may be divided into two categories, physisorption happens when the adsorbate molecule joined to adsorbent’s surface through the van derwaals interaction in contrast, chemisorption occurs when the adsorbate molecule attached to the adsorbent surface through chemical bonding (Fiyadh, 2019). Many porous solids adsorbent have been developed such as silicates (ALOthman, 2012), activated carbon (Özsin et al., 2019), zeolites (Wei et al., 2015), metal organic frameworks (MOFs) (Li, 2018; Yuan, 2018), and porous organic polymers (POPs) (Wang, 2019; Mu, 2022; Cui, 2020; Konstas, 2012; Zhou, 2022; Zhu, 2014). Although some of the carbon materials such as Graphene oxide (GO) are considered as a good candidate for pollutant adsorption purposes due to its oxygen- containing functional groups rich nature, but some disadvantages of this material such as significant dispersibility poses difficulties in water treatment, which complicates the separation process and raises worries about environmental pollution. Moreover, the presence of agglomeration, resulting from π-π stacking interactions, decreases the surface area, hence restricting its efficacy in adsorption applications (Liu, 2023). Therefore, developing a novel porous materials with a large surface area and tailored surface chemistry is vital to tackle the mentioned challenges that porous adsorbents are faced with them.
Hyper cross linked polymers (HCPs) are considered as an important subgroup of the POPs with an amorphous structure which can be formed by cross linking of aromatic rings through Friedel-Crafts alkylation reaction in the presence of an external cross linker and a Lewis acid catalyst (Moradi, CO2). Additionally, some morphological characteristics of the HCPs including surface area, pore volume, and adsorption properties are adjustable by making changes in cross linker and catalyst amount during the synthesis process (Ramezanipour Penchah et al., 2019). Due to the HCP's unique characteristics such as low density, high surface area, tunable pore sizes, scale-up, thermal stability, chemical and mechanical resistance, and low heat adsorption, this materials have been known as promising candidate for practical application of heavy metal removing from wastewaters (Masoumi et al., 2021). Despite the good morphological properties of the HCPs which causes high heavy metals adsorption capability, the presence of aromatic rings in the adsorbent structure result in cation-π interaction between heavy metal ions and the adsorbent surface that improve metal adsorption capacity of the HCPs through physisorption mechanism. Additionally, the incorporation of some functional moieties like amine group, carboxyl group, hydroxyl group, and sulfhydryl group enhance HCPs adsorbent metal ions capture capability through making changes in HCPs surface potential heterogeneity or acting as an active ligand site (Wang et al., 2019; Li, 2015).
Based on the literature review, many studies on heavy metal adsorption have investigated the heavy metal uptake capability of the polymeric adsorbent in a single component system, but it should be considered industrial wastewater contain various metal ions. In the multi component system, an electrostatic field is created by the interaction among charged ions, which will further affect how the heavy metal ions approach the sorbent. Therefore, considering the competition among the different cations for occupying surface cavities, it is important to look into how metal ions are adsorbed when other metal ions are present (Masoumi et al., 2021). In recent years, investigations on the heavy metals uptake from multi component systems by using polymeric adsorbents have been increased gradually. For example, Ebrahimpour et al. synthesized a novel hydrogel polymer for effective uptake of Hg2+ and Pb2+ ions from wastewater (Ebrahimpour and Kazemi, 2023). Verma et al. provided a trifunctional β − cyclodextrin − ethylenediaminetetraacetic acid − chitosan polymer aim to adsorption of mercury (Hg2+) and cadmium (Cd2+) cations from aqueous media (Verma, 2022). A hybrid polymer, synthesized via in situ polymerization of pyromellitic acid dianhydride and N-(3-(trimethoxysilyl) propylene ethylene diamine, followed by functionalization with toluene 2, 4-diisocyanate, is proposed as a sorbent for removal of the Co2+, Pb2+, and Cr3+ions, by A. M. Aldawsari et al (Aldawsari, 2022). Wang et al. provided a polymer called Zn-CP, which shows good efficiency in uptake of Fe3+ ions from water (Wang, 2022). Y. Sun et al. prepared dual-functional chitosan and investigated the adsorption of the nickel (Ni2+) ion from waste water (Sun, 2020). Badruddoza, A.Z.M., et al. provided a novel polymer modified whit Fe3O4 nanoparticles, for the selective adsorption of Pb2+, Cd2+, and Ni2+ ions (Badruddoza, 2013). Ge, F., et al. studied the uptake of the Pb2+, Cd2+, Zn2+, and Cu2+ ions from waste water by utilizing Fe3O4 nanoparticles modified copolymer (Ge et al., 2012).
In this work, a hyper cross-linked polymeric adsorbent was synthesized based on xylene monomer and heavy metal ions adsorption experiments were conducted in a multi component system including Nickel, Cadmium, Lead, and Copper ions solution. To enhance the xylene based HCP sample hydrophilicity, adsorption capacity, and selectivity, the carboxyl group (–COOH) incorporation to the polymer network was done and the adsorption tests were performed again at similar condition. To study the morphological properties of adsorbents and the success of carboxyl functionalization to xylene based HCP, the BET, EDX, and FTIR analysis were performed and the results were reported. Additionally, to investigate the impact of effective adsorption factors such as temperature, initial concentration, and pH on the competitive uptake behavior of heavy metal ions on adsorbent surfaces, the design of experiment (DOE) was carried out aimed to optimize mentioned parameters and present the quadratic predictive models for all of the metallic ions adsorption efficiency at optimum condition. Finally, the metallic ions adsorption mechanisms by both types of adsorbents were evaluated using isotherm and thermodynamic modeling of the adsorption process and model parameters were reported.
2 Material and methods
2.1 Chemicals
The industrial grade of para-xylene was prepared from Dr. Mojallali industrial chemical complex company. In addition, anhydrous iron (III) chloride, potassium permanganate (KMnO4), 1,2-dichloro ethane (DCE), formaldehyde dimethyl acetal (FDA), and ethanol were prepared from Merck company. During the xylene based HCP preparation and post modification, deionized water and distilled water were used for washing purposes. Also lead nitrate ( ), cadmium nitrate ( ), nickel nitrate , and copper nitrate ( ) were purchased from Merck company. The aforementioned raw materials were applied without further purification.
2.2 Para-xylene based HCP synthesis
In general, the hyper cross linked polymeric adsorbent (HCP) is synthesized through Friedel-Crafts alkylation reaction by using an external cross linker agent to form covalent bonds between aromatic ring of the monomers. In this work, similar to the technique reported by Li et al. (Li, 2011), the HCP adsorbent was synthesized based on para-xylene as monomer. To obtain the highest specific surface area and maximum heavy metal ions adsorption capability, the synthesis parameters such as synthesis time and monomer to cross linker ratio were adjusted in an optimal condition that was presented by Kim et al (Kim, 2020). Typically, para-xylene (0.02 mol), formaldehyde dimethyl acetal (0.04 mol), and dichloro ethane (40 ml) were poured into a three-Neck round bottom flask, then the flask contents were agitated at 25 °C for 1 h in the argon atmosphere. Then the anhydrous iron (III) chloride powder (0.04 mol) was charged to the flask and the mixture was blended at 45 °C for 4 h. Next, the mixture temperature was increased to 85 °C, followed by mixing in the reflux condition for 24 h. Next, the obtained porous polymeric adsorbent was filtrated and aimed to remove the solvent and excess reactants, the resulting polymer was washed several times with distilled water and ethanol for 20 h by soxhlet extractor apparatus. Finally, the purified HCP adsorbent dried at 160 °C for 15 h. The para-xylene based HCP synthesis method is shown in Fig. 1.Para xylene based HCP sample synthesis procedure.
2.3 Para-xylene based HCP’s surface modification
The presence of electron-withdrawing groups such as amine or amide group, phenol group, or carboxylic acid group in the HCP adsorbent’s skeleton enhances the HCPs adsorbent heavy metal ions uptake capability by improving the adsorbent’s surface heterogeneity. In addition, the presence of lone pair electrons on electron donor atoms such as oxygen, nitrogen, or sulfur act as ligand active sites and improve the selectivity of the HCP in the selective adsorption of cations. In this work, surface modification of xylene based HCP sample was done by incorporation of carboxylic acid group (–COOH) to the HCP adsorbent network. Carboxylic acid modification of the HCP sample was carried out through the oxidation of the xylene’s methyl group (–CH3) by utilizing a strong oxidizing agent namely potassium permanganate (KMnO4). In a typical procedure, the HCP adsorbent (4 g) and distilled water (250 ml) were charged to a three-neck flask, and the contents were heated at 100 °C in the reflux conditions until the mixture reached to the boiling point. Then, potassium permanganate (KMnO4) was added to the mixture in three stages. First, KMnO4 (8 g) was charged to the flask followed by stirring under reflux condition and solution’s boiling point for 2 h. Next, KMnO4 (4 g) was added to the mixture and the reaction continued for 2 h. Finally, KMnO4 (4 g) was added to the mixture in the third stage and the mixture was kept for 3 h at the boiling point of the mixture. Next, the flask contents were cooled down and the flask contents were washed with distilled water several times. Then, aimed to remove the remained manganese ions and the carboxylic acid groups recovery, the resulting modified HCP was washed with 500 ml of 0.01 M hydrochloric acid (Vogel and Furniss, 1978). Finally, the obtained modified HCP was dried at 160 °C for 15 h in a vacuum oven. The xylene based HCP carboxylic acid functionalization procedure is shown in Fig. 2.Carboxylic acid modification procedure of the HCP sample.
2.4 Adsorbent characterization
The p-xylene based HCP and the carboxylic acid modified HCP’s elemental composition were characterized by energy dispersive X-ray spectroscopy (EDS) analysis using Philips-×130 instrument, also X-ray photoelectron spectroscopy (XPS) technique was applied by an Al Kα source (XPS spectrometer Kratos AXIs Supra) device. The adsorbents morphological properties were characterized by nitrogen adsorption–desorption method at 77.3 K using ASAP 2020 M analyzer. To characterize the adsorbents structural properties and functional groups, FTIR analysis was performed by using PerkinElmer FTIR spectrometer instrument. Thermal stability of the samples were evaluated using thermogravimetric analysis (TGA) under an N2 atmosphere (TGA, model 2960, Universal V 2.4F TA instrument). To measure the concentration of the metallic cations in liquid samples, the inductively coupled plasma-optical emission spectrometry (ICP-OES) analysis was carried out by (ICP-OES, series 5800) instrument.
2.5 Adsorption experiments and selectivity
To perform the heavy metal adsorption experiments, the heavy metal ions contain solutions with different initial concentration including 20, 40, 60, 80, and 100 mg/l were prepared from stock solution with a concentration of 200 mg/l. Next, the resulting solution (150 ml) was charged to a flask, then the sample’s pH value was adjusted to a desired value by using 0.05 M NaOH solution or 0.05 M HCL solution, also the oil bath temperature was adjusted. The adsorption process was started by the addition of 0.1 gr adsorbent powder and stirring the flask contents at 1000 rpm. The adsorption process continued for 4 h to reach an equilibrium state, after 4 h the flask contents were filtrated and the quantity of the heavy metal ions in the residual solution was measured using ICP-OES analysis. The differences between the initial concentration and final concentration of the metallic ions refer to the quantity of adsorbed heavy metal ions. The metal ions equilibrium adsorption capacity (qe), removal efficiency (RE%), distribution factor value (D), and selectivity value (S) in a multi component adsorption system can be calculated by using equations (1–4), respectively (Wang and Liu, 2014).
2.6 Design of experiment
Design of experiment (DOE) is a useful statistical tool, which can correlate the independent input parameters to system output (response). Applying DOE has some advantages including identifying the most effective parameters, elimination of the excessive cost of experiment, and optimization of process regarding achieving the highest yield (Bashir et al., 2010). Response Surface Methodology (RSM) is one of the applicable approaches of the DOE, which can make a relationship between inputs and output by correlating the empirical data on a quadratic function that is represented in equation (5). The resulting model’s accuracy and significance assessment can be investigated by analysis of variance (ANOVA) and other statistical criterions such as correlation coefficient (R2) and Average Absolute Relative Deviation (AARD %) values which can be calculated using equation (6) and equation (7), respectively (Zaferani et al., 2019).
Parameter
Name
Unit
Coded value (α = 2)
−2
−1
0
1
2
A
Temperature
°C
25
35
45
55
65
B
pH
–
4
5.5
7
8.5
10
C
Initial concentration
20
40
60
80
100
2.7 Isotherm modeling
To study the heavy metal adsorption behavior of the unmodified/modified HCP samples with respect to competitive adsorption of the metallic ions in a multi component system, isotherm modeling was conducted aim to investigate the adsorbate-adsorbent interactions. To correlate the equilibrium uptake capacity to the equilibrium concentration of metallic ions in the solution, five isotherm models including Langmuir, Freundlich, Hill, Dubinin-Radushkevich (D-R), and Temkin models which are represented by equations (8–12), were utilized (Masoumi et al., 2021).
2.8 Adsorption process kinetics
The adsorption mechanism and the adsorbent's efficacy in removing metal ions have been investigated using kinetic models. Experimental adsorption data were fitted using two kinetic models: pseudo-first-order and pseudo-second-order, represented by equation (13)and equation (14), respectively (Masoumi et al., 2021).
3 Result and discussion
3.1 Adsorbents characterization
The FTIR spectrum of the adsorbents in the wave number range of 500–4000 cm−1 are illustrated in Fig. 3.a. Based on the FTIR results, the peak at 2912 cm−1 is related to aliphatic C—H stretch of methylene group which was formed through cross linking of xylene molecules, the peak at 1495 cm−1 corresponds to aromatic C⚌C stretches of xylene ring molecules. In the modified HCP FTIR spectra, the peak at 1710 cm−1 refer to C⚌O stretches of the carboxylic acid group, this peak proves the successfully incorporation of carboxylic acid group to HCP sample structure. The wide peak in the range of 3200 cm−1 to 3600 cm−1 is related to the O—H bond stretch of the carboxylic acid group, also the O—H peak in the HCP sample spectra is related to the formation of hydroxyl group through hydrolysis of the methoxy group of remained formaldehyde dimethyl acetal molecules (Kim, 2020). Thermogravimetric analysis results for both polymeric samples are presented in Fig. 3.b. According to this figure, at temperatures ranging between 80 and 100 °C, a slight reduction (about 5 %) in the content of both adsorbents was observed, which could be related to the solvent or water evaporation. Rapidly decomposition of the samples between 370 and 470 °C may be attributed to the destruction of C—C bonds of the crosslinking bridges which were yielded from the Friedel-Crafts reaction, also the modified HCP’s more weight loss can be related to the decomposition of C—O bonds of the carboxyl group (Sel, 2015). The polymeric residues of the xylene based HCP and the modified HCP adsorbents were 39.82 wt% and 33.71 wt%, respectively, at 600 °C (Maleki et al., 2022). The porous properties of the xylene based HCP sample and the carboxylic acid functionalized HCP sample were evaluated by N2 adsorption–desorption measuring at 77.3 K, which are illustrated in Fig. 4.a. Based on Fig. 4.a, for both type of samples the type II isotherm curve were observed based on IUPAC isotherm classification. This type of isotherm curve can be attributed to the existence of micropores and meso pores in samples structure (Huang, 2009). According to the figure, sharply Nitrogen adsorption by both samples at a relative pressure range between 0 and 0.05 can be related to the presence of micropores in the samples skeleton. Additionally, the hysteresis loop presence in the adsorption–desorption isotherm at the relative pressure between 0.2 and 0.8 refers to the presence of the mesopores in the samples structure, also the hysteresis loop in the relative pressure more than 0.8 demonstrate the existence of the macropores and interparticle voids in both type of the adsorbents network (Kong et al., 2019). The porous properties characteristics of both porous polymers were reported in Table 2. According to the table findings, the BET surface area of the xylene based HCP and the carboxylic acid modified HCP are 237.73 m2/g and 133.43 m2/g, respectively. Based on the result, the carboxylic acid functionalization of the HCP sample reduced the specific surface area of the HCP sample dramatically, it can be attributed to the partial space filing of the pores by carboxylic acid functional group (He, 2017). Fig. 4.b depicts the pore size distribution of the samples, according to this figure the pore size peak of the HCP sample is obtained around 4.25 nm and for the carboxylic acid modified HCP sample, two pore size peaks are obtained around 2.96 nm and 5.03 nm. The findings of the pore size distribution plot have good conformity with the hysteresis loop existence in N2 adsorption–desorption isotherms, which refer to the presence of the macro pores in the structure of the samples. Based on the Fig. 4.b, the carboxylic acid group incorporation to the HCP sample skeleton increased the micropore volume of the modified HCP, it can be concluded that incorporation of the carboxylic acid to polymer network can separate the mesopores volume to multiple micropores (Li, 2017). The elemental composition of the polymeric samples were investigated by using EDS analysis and the findings of the analysis are depicted in Fig. 5. According to the EDS analysis results, the xylene based HCP adsorbent consist of 94.62 % carbon, 4.12 % oxygen, and 1.26 % chlorine element that can be related to the Lewis acid catalyst in the Friedel-Craft alkylation reaction, also the modified HCP sample contains 78.58 % carbon, 3.48 % manganese, 16.73 % oxygen, and 1.21 % chlorine. Increasing the oxygen content of the modified HCP adsorbent corresponds to the incorporation of carboxylic acid into the HCP sample structure. The XPS spectra of the unmodified/modified HCP samples in the range of 100 eV to 800 eV are illustrated in Fig. 6-a. based on this figure, the resulting peaks at 198.6 eV, 285.9 eV, and 533.1 eV are attributed to Cl 1s (1.09 %), C 1s (80.64 %), and O 1s (18.27 %), respectively. The ionic form of the chlorine element (
) may be left over from the Friedel-Crafts reaction (Sang et al., 2020). By considering the high-resolution spectrum of the C 1s element that is illustrated in Fig. 6-b, it can be derived that the mentioned peak dissociated to three peaks correspond to C—C/C⚌C bonds (284.6 eV), C—OH bond (286.5 eV), and COOH bond (289.4 eV). Fig. 6-c demonstrates that the O 1s spectrum has two unique peaks that are related to the carboxylic acid's C⚌O bond (532.7 eV) and the C—OH bond (533.6 eV) (Manakhov, 2023; Zhang, 2013; Classen, 2007; Beamson and Briggs, 1992; Song, 2021).a) FT-IR spectra of the HCP and carboxylated HCP sample, b) TGA analysis results of the both sample.
a) Nitrogen adsorption–desorption isotherms of the samples, b) Pore size distribution plots of the HCP samples.
Sample
SBETa (m2/g)
MPVb (cm3/g)
MPAc (m2/g)
PVd (cm3/g)
APWe (nm)
Xylene based HCP
237.73
0.074
14.85
0.396
6.283
Carboxylic acid modified HCP
153.43
0.108
26.61
0.267
5.346
EDS pattern of the a) xylene based HCP, b) modified HCP sample.
The carboxylic acid modified HCP’s XPS results, a) survey scan spectra, b) High resolution C 1s spectra, and c) High resolution O 1s spectra.
3.2 RSM results
3.2.1 Analysis of variance (ANOVA)
Analysis of variance of the lead, cadmium, nickel, and copper ions adsorption capacity (q) in the multi component system are provided in terms of temperature, pH, and initial concentration of the metallic ions. The findings are reported in Table 3 and Table 4 for xylene based HCP and carboxylic acid modified HCP adsorbent, respectively. In ANOVA, P-value and F-value are two criteria that demonstrate the significance of the resulting model or model’s terms. The P-value less than 0.05 and F-value more than 1 refer to model importance also the F-value greater than 0.1 and the F-value less than 1 indicate the model or model terms are not important. Based on Table 3 and Table 4 findings, the resulting models for prediction of the adsorption capacity of the lead (
), cadmium (
), nickel (
,), and copper (
) using the xylene based HCP and carboxylic acid modified HCP adsorbents have P-value less than 0.0001 and F-value much more than 1, it means that the obtained models are significant. Adequate precision in a criteria of ANOVA which evaluate signal to noise ratio of the model, the adequate precision index higher than 4 proves that the resulting model has enough accuracy. The adequate precision values of the models for
,
,
, and
were obtained at 96.10, 27.34, 32.57, and 24.82 when the xylene based HCP was used as adsorbent and when the carboxylated HCP was applied as adsorbent, the adequate precision of the models were obtained 280.82, 24.11, 64.08, and 40.84 for
,
,
, and
, respectively. The models adequate precision values are much more than 4, it means that the obtained models are significant and they are applicable for process design purposes in design space (Bashir et al., 2010). Correlation coefficients (R2) value of the models are greater than 0.98, also the models adjusted R2 values have good agreement with predicted R2 values due to their little difference (difference is less than 0.2). By considering the R2 values of the models, it can be concluded that the predicted data have good accordance with experimental data and the models have enough accuracy in design space.
Source
Pb(II)
Cd(II)
Ni(II)
Cu(II)
Sum of square
Mean square
F-value
P-value
Sum of square
Mean square
F-value
P-value
Sum of square
Mean square
F-value
P-value
Sum of square
Mean square
F-value
P-value
Model
11601.4
1289.2
584.74
<0.0001
8182.55
909.17
65.1
<0.0001
8942.4
993.61
120.22
<0.0001
13239.5
1471.7
45.17
<0.0001
A- T
0.5293
0.5293
0.2401
0.6373
1133.75
1133.75
81.19
0.0002
182.01
182.01
22.02
0.0016
27.92
27.92
0.8571
0.3816
B- pH
94.26
94.26
42.76
0.0002
414.75
414.75
29.7
0.0006
292.04
292.04
35.34
0.0003
910.82
910.82
27.97
0.0007
C- C0
11310.2
1131.3
5130.7
<0.0001
2652.38
2652.38
189.93
<0.0001
3127.4
3127.7
378.41
<0.0001
11144.7
11144
342.2
<0.0001
AB
2.74
2.74
1.24
0.2975
148.39
148.39
10.63
0.0115
0.9695
0.9695
0.1173
0.7408
2.45
2.45
0.0752
0.7909
AC
14.18
14.18
6.43
0.0349
324.81
324.81
23.26
0.0013
3.18
3.18
0.3849
0.5522
21.83
21.83
0.6703
0.4367
BC
4.82
4.82
2.19
0.1775
26.88
26.88
1.93
0.2027
92.11
92.11
11.14
0.0103
7.75
7.75
0.238
0.6387
A2
49.52
49.52
22.47
0.0015
2312.95
2312.95
165.63
<0.0001
3062.8
3062.8
370.5
<0.0001
299.2
299.2
9.19
0.0163
B2
17.99
17.99
8.16
0.0213
804.62
804.62
57.62
<0.0001
1745.5
1745.5
211.19
<0.0001
182.42
182.42
5.6
0.0455
C2
105.54
105.54
47.88
0.0001
188.91
188.91
13.53
0.0062
473.36
473.36
57.27
<0.0001
240.84
240.84
7.4
0.0263
Residual
17.64
2.2
111.72
13.96
66.12
8.26
260.54
32.57
Lack of fit
17.62
4.4
897.85
0.465
111.72
27.93
957.3
0.351
66.12
16.53
863.41
0.714
253.34
63.33
35.19
0.0922
Pure error
0.0196
0.0049
0.0241
0.0065
0.0341
0.0034
7.2
1.8
Cor total
11618.6
8294.27
13500.1
R2
R2=0.998, R2adjusted = 0.996,R2predict = 0.983, Adeq Precision = 96.10
R2=0.986, R2adjusted = 0.971, R2predict = 0.848, Adeq Precision = 27.34
R2=0.992,R2adjusted=0.984,R2predict= 0.917, Adeq Precision = 32.57
R2=0.980, R2adjusted =0.959, R2predict = 0.787, Adeq Precision = 24.82
Source
Pb(II)
Cd(II)
Ni(II)
Cu(II)
Sum of square
Mean square
F-value
P-value
Sum of square
Mean square
F-value
P-value
Sum of square
Mean square
F-value
P-value
Sum of square
Mean square
F-value
P-value
Model
12789
1421.4
4949.5
<0.0001
0.4152
0.0461
44.91
<0.0001
30.64
3.4
548.73
<0.0001
10992
1221.2
107.85
<0.0001
A- T
6
6
20.9
0.0018
0.0044
0.0044
4.3
0.0718
0.9864
0.9864
158.97
0.0003
20.61
20.61
1.82
0.2142
B- pH
14.75
14.75
51.37
<0.0001
0.0833
0.0833
81.1
<0.0001
1.55
1.55
249.13
<0.0001
23.58
23.58
2.08
0.187
C- C0
8081.4
8081.4
28147
<0.0001
0.1054
0.1054
102.61
<0.0001
8.35
8.35
1344.8
<0.0001
7267.8
7267.7
641.84
<0.0001
AB
0.3916
0.3916
1.36
0.2765
0.0002
0.0002
0.148
0.7105
0.0093
0.0093
1.5
0.2556
63.99
63.99
5.65
0.0447
AC
0.0648
0.0648
0.2257
0.6474
0.0004
0.0004
0.3754
0.5571
0.0116
0.0116
1.87
0.2088
47.8
47.8
4.22
0.074
BC
1.22
1.22
4.24
0.0735
0.0013
0.0013
1.25
0.2954
0.2668
0.2668
43
0.0002
40.66
40.66
3.59
0.0947
A2
7.78
7.78
27.1
0.0008
0.0401
0.0401
39
0.0002
11.98
11.98
1930.2
<0.0001
63.83
63.83
5.64
0.0449
B2
82.54
82.54
287.48
<0.0001
0.048
0.048
46.73
0.0001
4.59
4.59
739.94
<0.0001
13.09
13.09
1.16
0.3137
C2
28.36
28.36
98.77
<0.0001
0.0238
0.0238
23.13
0.0013
1.92
1.92
308.92
<0.0001
96.18
96.18
8.49
0.0195
Residual
2.3
0.2871
0.0082
0.001
0.0496
0.0062
90.59
11.32
Lack of fit
2.3
0.5742
942.85
0.365
0.0082
0.0021
734.36
0.941
0.0496
0.0124
687.6
0.887
90.59
22.65
0.461
895.01
Pure error
0.0296
0.0059
0.221
0.0074
0.345
0.0932
0.0321
0.0067
Cor total
12792
0.4234
30.69
11083
R2
R2 = 0.999, R2adjusted = 0.999, R2predict = 0.998, Adeq Precision = 280.82
R2 = 0.980, R2adjusted = 0.958,R2predict = 0.780, Adeq Precision = 24.11
R2 = 0.998, R2adjusted = 0.996, R2predict = 0.982, Adeq Precision = 64.08
R2 = 0.991, R2adjusted = 0.982, R2predict = 0.909, Adeq Precision = 40.84
3.2.2 Adsorption models
The semi-empirical quadratic models for prediction of the adsorption capacity of the metallic ions in terms of operational condition were obtained based on the RSM-CCD technique. The adsorption models for prediction of adsorption capacity of the lead, cadmium, nickel, and copper ions by utilizing xylene based HCP are presented in equations (7–10), respectively. In addition, the adsorption models for the uptake of mentioned metallic ions by carboxylic acid modified HCP adsorbent are reported in equations (15–22), respectively. Furthermore, Fig. 7 (a-h) illustrate the contrast between the predicted heavy metal uptake capacities using the RSM-based model and the actual values. The figures indicate that by taking into account the adequate concentration of the predicted and the actual values adsorption capacity across the diagonal line, the superior accuracy of the presented semi-empirical models can be demonstrated.Predicted versus actual heavy metal adsorption data utilizing HCP sample for a) lead, b) cadmium, c) nickel, d) copper, and utilizing carboxylic acid modified for e) lead, f) cadmium, g) nickel, h) copper.
3.2.3 Effect of operational factors on adsorption process
3.2.3.1 Adsorption by xylene based HCP
To peruse the impact of operational factors including temperature, pH, and initial concentration of the solution on the metallic ions uptake capacity of the xylene based HCP adsorbent, perturbation plots are provided and illustrated in Fig. 8. In these plots, the A, B, and C curves indicate the impact of variation of the temperature, pH, and initial concentration on adsorption capacity. By default, the reference point of the perturbation plot was considered at the center point of the design space with a coded value equal to 0, the actual value of the A, B, and C terms at the reference point are 45 °C, 7, and 60 mg/l, respectively. According to Fig. 8, heavy metal ions adsorption by HCP adsorbent is strongly affected by increasing the initial concentration of metallic ions in the solution, but the effect of the other factors on uptake capacity is dependent on the adsorbed metal ion type. As can be seen in Fig. 8.a, the lead ion adsorption by HCP adsorbent is not sensitive to the temperature and pH alteration due to the A and B curves status which are near to the horizontally state. According to Fig. 8.b and Fig. 8.c, the cadmium and nickel uptake are deeply influenced by changing temperature and pH value, and the maximum adsorption capacity of these ions are obtained at a temperature of 45 °C and pH of 7. Based on Fig. 8.d, the copper adsorption capacity can increase by gaining pH value up to 9 at the reference point of temperature and initial concentration. To better understand of the mentioned factors effect on HCP adsorbent’s uptake capacity and investigation of the factors interaction, three dimensional response surfaces are provided based on RSM model that are illustrated in Fig. 9 and Fig. 10. The Fig. 9 depicts the HCP adsorbent’s uptake capacity dependency to temperature and pH at a constant initial concentration of 60 mg/l. Based on the figure, the maximum uptake capacity of lead ion can be obtained at about 87.5 mg/g at T = 50 °C and pH = 9, also for cadmium and nickel adsorption by HCP adsorbent, a similar condition is observed in which maximum adsorption capacity of these ions at T = 45 °C and pH = 7 are obtained 58.67 mg/g and 64.81 mg/g, respectively. According to Fig. 9.d, the highest adsorption capacity of copper ion at the initial concentration of 60 mg/g, can be reached at T = 45 °C and pH = 9. Based on the figures findings, the solution pH has a key role in the heavy metals adsorption capability of HCP adsorbent. In general, decreasing in solution’s pH causes a reduction in the uptake capacity of the metallic ions, this happens due to gaining in hydronium ions (H3O+) concentration which result in improving the repulsion force between hydronium ions and metallic ions, also increasing the pH of the solution (pH greater than 9) causes the formation of metal hydroxide and decreases the adsorption capacity of HCP adsorbent (Qin, 2019). Fig. 10 depicts effect of the pH and initial concentration of metallic ions on the HCP uptake capability at a constant temperature of 45 °C. According to Fig. 10, at a constant pH value, increasing the initial concentration of the ions causes improving the uptake capacity of the solid sorbent, it can be attributed to the improving mass transfer driving force and diminished mass transfer resistance of the metallic ions diffusion into the HCP adsorbent’s cavities (Gonte and Balasubramanian, 2016). Based on the findings, the uptake capacity of the metallic ions by xylene based HCP sample at a similar condition are in descending order Pb2+> Cu2+> Ni2+> Cd2+.Perturbation plots of the heavy metal uptake by xylene based HCP a) lead, b) cadmium, c) nickel, d) copper.
3D response surfaces representing the HCP adsorbent’s uptake capacity dependency to the pH and temperature at initial concentration of 60 mg/l for a) Lead, b) Cadmium, c) Nickel, d) Copper.
3D response surfaces representing the HCP adsorbent’s uptake capacity dependency to the pH and initial concentration at pH of 7, for a) Lead, b) Cadmium, c) Nickel, d) Copper.
3.2.3.2 Adsorption by carboxylic acid modified HCP
Similar to xylene based HCP adsorbent, the heavy metal uptake capacity of the carboxylic acid functionalized HCP adsorbent is studied in this section. To investigate the effect of temperature, pH, and solution initial concentration on the uptake capacity of the functionalized HCP, perturbation plots are prepared and illustrated in Fig. 11. According to the Fig. 11.a, slightly gaining in lead ion uptake capacity by carboxylic acid modified HCP sample is observed. Based on Fig. 11.b and Fig. 11.c, the adsorption capacity of the cadmium and nickel ions are deeply affected by changing the temperature and pH value of the solution. Compare to xylene based HCP sample, the carboxylic acid modified HCP sample shows more adsorption capacity for cadmium and nickel ions at pH value more than 7, it can be related to the presence of the hydroxide ions (OH–) in the solution which causes deprotonating the carboxylic acid groups and making this group as an active site for chelate formation or exchanging heavy metal ions (Ehgartner, 2021). According to these figures, increasing the pH value more than 8.5 will be decreased the adsorption capacity of the cadmium and nickel ions, it can be attributed to the formation of the metal hydroxide in the solution.Perturbation plots of the heavy metal uptake by carboxylic acid modified HCP a) Lead, b) Cadmium, c) Nickel, d) Copper.
Aim to show the modified HCP sample uptake capability dependency to the mentioned parameters and investigation of the factors interaction, the three dimensional response surfaces are illustrated in Fig. 12 and Fig. 13. The Fig. 12 indicates the effect of the temperature and pH on the uptake capacity at a constant initial concentration equal to 60 mg/l. According to Fig. 12.a, the highest uptake capacity of the lead ion (q = 88.6 mg/g) can be obtained at T = 35 °C and pH = 7.5, also similar is observed for copper ion adsorption capacity based on Fig. 12.d. Based on this figure, the maximum value of adsorption capacity of the copper ion (q = 87.9 mg/g) at the initial concentration of 60 mg/l can be obtained at T = 50 °C and pH = 8.5. Fig. 12.b and Fig. 12.c show that the highest adsorption capacity of the cadmium and nickel ions can be obtained at T = 45 °C and pH = 8.5 and T = 45 °C and pH = 8, respectively. Fig. 13 depicts the heavy metal uptake capacity dependency to the metal ions initial concentration and the solution’s pH value at a constant temperature of 45 °C. According to Fig. 13, by increasing the initial concentration of the solution, the uptake capacity of the metallic ions are increased dramatically due to improving the mass transfer driving force. Based on Fig. 13 results, it can be concluded that increasing the initial concentration of the solution to more than 80 mg/l slightly improves the adsorption capacity of the cadmium and the nickel ions, however, the lead and the copper ions uptake capacities will be increased sharply even at higher initial concentration, it can be related to the adsorbent saturation from the cadmium and the nickel ions at the concentration more than 80 mg/l (Vakili, 2019). Based on the results, the heavy metal ions uptake capacity of the carboxylic acid functionalized HCP sample at the reference point are in descending order Pb2+> Cu2+> Cd2+ > Ni2+.3D response surfaces representing the carboxylic acid modified HCP adsorbent’s uptake capacity dependency to the pH and temperature at initial concentration of 60 mg/l for a) Lead, b) Cadmium, c) Nickel, d) Copper.
3D response surfaces representing the carboxylic acid modified HCP adsorbent’s uptake capacity dependency to the pH and initial concentration at pH of 7, for a) Lead, b) Cadmium, c) Nickel, d) Copper.
3.2.4 Process optimization
In the context of adsorption and separation of the lead ion from multi component solution using both types of the adsorbents, high selectivity towards lead metal is crucial for practical applications. It should be noted that achieving superior selectivity of the lead over other metals in the adsorption process is contingent upon maximizing the uptake capacity of the lead and minimizing the adsorption capacity of the other metals. Therefore, operational factors namely temperature, pH, and initial concentration should be optimized to achieve the highest efficiency. In this study, the process optimization was applied using Design Expert software optimization module. Specifically, the desired target for lead uptake capacity was set to “maximize”, while the uptake capacities of other cations such as cadmium, nickel, and copper were set to “minimize”, also the mentioned operating factors were selected to be “in range” for optimal results. To check the validity of the resulting metallic ions adsorption capacities in the optimal condition, two adsorption experiments were conducted under the determined optimal operational conditions using both types of adsorbents, also Absolute Average Relative Deviation (AARD%) were calculated aim to assess error between experimental and RSM based results. The results of the process optimization for both polymeric samples are summarized in Table 5. Based on Table 5 findings, it can be concluded the adsorption capacities obtained by the xylene based HCP at the optimum condition namely temperature of 31.8 °C, pH of 5.0, and initial concentration of 82.50 mg/l were in satisfactory agreement with the RSM result, with an average error of 3.09 %. Similarly, the uptake capacities obtained by the modified HCP sample at the optimum condition such as temperature of 30.0 °C, pH of 5.5, and initial concentration of 100 mg/l exhibited a good agreement, with an average error of 4.40 %. Based on the Table 5 results, chemically modification of the xylene based HCP sample improved the selectivity of the lead ion uptake over other metal ions. Especially, the selectivity of the lead over cadmium increased from 2.41 to 4.11, and the selectivity of the lead uptake over nickel gained from 3.03 to 6.43, also slightly increasing in the lead adsorption selectivity from 1.25 to 1.32 was observed due to incorporation of the carboxylic acid group to the HCP sample skeleton.
Sorbent
Parameter and response
Target
Lower limit
Higher limit
Optimal condition
AARD%
RSM
Experimental
Xylene based HCP
Temperature (°C)
In range
25
65
31.8
pH
In range
4
10
5
Initial concentration (mg/l)
In range
20
100
82.5
Pb(II) uptake capacity (mg/g)
Maximize
29.805
133.29
105.37
103.74
1.57
Cd(II) uptake capacity (mg/g)
Minimize
10.94
84.37
44.68
42.96
4
Ni(II) uptake capacity (mg/g)
Minimize
8.714
84.02
32.07
34.14
6.06
Cu(II) uptake capacity (mg/g)
Minimize
27.91
128.82
83.1
82.48
0.75
Selectivity(Pb/Cd) = 2.41, Selectivity(Pb/Ni) = 3.03, Selectivity(Pb/Cu) = 1.25
Avg = 3.09
Carboxylic acid modified HCP
Temperature (°C)
In range
25
65
30
pH
In range
4
10
5.5
Initial concentration (mg/l)
In range
20
100
100
Pb(II) uptake capacity (mg/g)
Maximize
29.83
141.06
136.93
135.47
1.07
Cd(II) uptake capacity (mg/g)
Minimize
11.57
93.52
31.07
32.96
5.73
Ni(II) uptake capacity (mg/g)
Minimize
6.308
65.35
22.87
21.04
8.69
Cu(II) uptake capacity (mg/g)
Minimize
29.95
135.24
104.61
102.43
2.12
Selectivity(Pb/Cd) = 4.11 , Selectivity(Pb/Ni) = 6.43 , Selectivity(Pb/Cu) = 1.32
Avg = 4.40
3.3 Heavy metal adsorption from steel industry waste water
To investigate the potential of the HCP adsorbents for the removal of the heavy metal ions from steel industry waste water, metallic ions uptake experiments were conducted at the optimum pH and temperature condition by utilizing the xylene based HCP and the carboxylic acid modified HCP samples. The waste water’s characteristics are summarized in the Table 6. Based on the table. the pH value of the waste water is higher than optimum value, so it was adjusted to the optimum pH with the help of the HCl solution (0.05 M), followed by performing adsorption test. The results of measuring the removal efficiency of the metallic ions uptake are illustrated in Fig. 14. based on this figure, the carboxylic acid modified HCP sample exhibited more affinity to adsorb metallic ions than HCP sample except in the case of nickel adsorption, which is the opposite result.
Parameters
Characteristics
pH
6.7
Total solids (mg/l)
15,800
BOD (mg/l)
<2.0
COD (mg/l)
<2.0
(mg/l)
381
(mg/l)
963
(mg/l)
2846
(mg/l)
328
(mg/l)
341
(mg/l)
26.5
(mg/l)
2.7
(mg/l)
40.3
(mg/l)
10.6
(mg/l)
8.7
(mg/l)
1.3
Removal efficiency of the metallic ions uptake from steel industry waste water.
3.4 Adsorption equilibrium study and isotherm modeling
To obtain the isotherm models’ parameters, the models were fitted on the equilibrium adsorption data that obtained at the temperature of 35 °C, pH of 7, and initial concentration between 20 and 100 mg/l. The models’ fitted curves were graphically illustrated in Fig. 15 and Fig. 16 for the xylene based HCP and the carboxylic acid modified HCP sample, respectively. Furthermore, the parameters of the models and their correlation coefficients (R2) were reported in Table 7. Based on the results presented in Table 7, the Freundlich model's KF constant, which reflects the interaction strength between the adsorbed particles and the solid sorbent, indicates improving the lead, cadmium, and copper ions tendency to be adsorbed by the carboxylic acid modified adsorbent, but a relative decrease for nickel ion uptake by the modified HCP can be observed. The range of the Freundlich constant nf, between 1 and 10, indicates that both adsorbents are suitable for the adsorption of metallic ions (Soltani et al., 2015). Furthermore, the dominant physical adsorption of the metallic ions by both adsorbents is shown by the E value being less than 8 kJ/mol, as determined by the Dubinin-Radushkevich model. According to the Hill isotherm model’s qm values which shows the best fitting ability for correlating experimental data, the adsorption tendency of metallic ions follows the sequence of lead > copper > cadmium > nickel. The sequence of the metal ions adsorption and lead selective removal can be explained as follows: (I) the larger electronegativity difference between lead (2.33) and nickel (1.91), cadmium (1.69), and copper (1.90), makes the lead as the best candidate to be attracted by adsorbent surface (Taha et al., 2016). (II) The ionic radius of the metallic ions are in a descending order lead (1.33 Å) > cadmium (1.09 Å) > copper (0.87 Å) > nickel (0.83 Å). Metal with a larger ionic radius show more polarizability and more tendency to be adsorbed by heterogeneous surface (Bayo, 2012). (III) The hydrated radius of the lead, nickel, copper, and cadmium ions are 4.01 Å, 4.04 Å, 4.19 Å, and 4.26 Å, respectively. Metals with lower hydrated radii reveal more affinity to be adsorbed due to their easier diffusion into adsorbent pores. (IV) The enthalpy of hydration of the mentioned cations follows the sequence of lead (−1481 kJ/mol) < cadmium (−1807 kJ/mol) < copper (−2100 kJ/mol) < nickel (−2105 kJ/mol). Metal with higher enthalpy of hydration tend to be as hydrated and show lower affinity to be adsorbed, therefor the lead ion with the lowest enthalpy of hydration among other metallic ions preferentially adsorbed by solid sorbent (Panayotova and Velikov, 2003).Comparison of isotherm models and experimental values of adsorption capacity of xylene based HCP at 35 °C and pH = 7 for uptake of (a) lead (b) cadmium, (c) nickel, (d) copper.
Comparison of isotherm models and experimental values of adsorption capacity of carboxylic acid modified HCP at 35 °C and pH = 7 for uptake of (a) lead (b) cadmium, (c) nickel, (d) copper.
Isotherm model
Parameters
Xylene based HCP
Carboxylic acid modified HCP
T = 35 °C and pH = 7
T = 35 °C and pH = 7
Cu2+
Ni2+
Cd2+
Pb2+
Cu2+
Ni2+
Cd2+
Pb2+
Langmuir
R2
150.17
0.215
0.979109.12
0.0587
0.927188.63
0.0217
0.938134.20
1.0527
0.971125.84
0.7047
0.97093.88
0.0432
0.917209.98
0.0240
0.960136.29
1.3211
0.979
Freundlich
R2
37.67
2.442
0.93514.749
2.244
0.8877.039
1.451
0.90265.177
3.5
0.93654.52
3.386
0.94310.538
2.162
0.8718.128
1.428
0.96370.57
3.451
0.72
Hill
R2
125.76
5.82
1.483
0.99674.67
1809.9
3.269
0.99786.085
2077.1
2.935
0.991130.64
0.87
1.108
0.992150.78
1.854
0.687
0.99663.44
2876.2
3.060
0.994119.2
78.36
1.587
0.995151.93
1.003
0.785
0.992
D-R
R2
112.95
1.114
0.670
0.97779.14
12.15
0.203
0.99590.85
21.71
0.152
0.990116.87
0.133
1.939
0.975107.59
0.227
1.484
0.94272.65
24.72
0.142
0.99594.79
14.80
0.184
0.975118.70
0.10
2.233
0.958
Temkin
R2
34.88
1.811
0.98528.13
0.397
0.93342.54
0.200
0.97625.84
13.07
0.98423.41
10.44
0.99529.93
0.218
0.98141.95
0.267
0.99425.35
19.03
0.991
As a result, the above mentioned reasons are not able to determine individually the adsorption selectivity in a multi component system, so the simultaneously effect of the aforementioned explanations causes the heavy metal uptake sequence of Pb(II) > Cu(II) > Cd(II) > Ni(II). Similar result about adsorption sequence in a multi component system was reported by Bayo.J (Bayo, 2012).
3.5 Adsorption process kinetics
By fitting the kinetic models on the experimental heavy metal adsorption data, collected at the initial concentration of 100 mg/l, pH of 7, and different temperatures such as 25 °C and 35 °C, the models’ parameters were obtained that are reported in Table 8. According to the Table 8, it is evident that the R2 values more than 0.99 derived from the pseudo-second-order model were higher than those of the pseudo-first-order adsorption model. Furthermore, the estimated qe values derived from the pseudo second-order model showed a strong correlation with the actual values (qexp), indicating the reliability of the model for the adsorption system being studied. According to the proper fit of both kinetic models, it can be concluded that the adsorption process utilizing both HCP samples were occurred through chemical and physical adsorption mechanism simultaneously (Yang et al., 2018). The values of k2 (Table 7) also suggested that the adsorption rates followed the sequence of Ni2+> Cd2+> Cu2+> Pb2+. The fitted adsorption data and the predicted values based on the kinetic models are illustrated in Fig. 17-a, and Fig. 17-b for the HCP sample, and the carboxylic acid modified HCP sample, respectively.
Sample
Kinetic model
Parameter
T = 25 °C and pH = 7
T = 35 °C and pH = 7
Pb2+
Cd2+
Ni2+
Cu2+
Pb2+
Cd2+
Ni2+
Cu2+
Xylene based HCP
Pseudo-first-order
116.66
77.54
43.16
99.63
122.22
72.9
57.75
106.14
0.2593
0.2612
0.2593
0.2721
0.2808
0.2621
0.2593
0.2613
R2
0.933
0.948
0.965
0.941
0.938
0.953
0.967
0.948
Pseudo-second-order
127.76
84.88
47.27
108.79
133.2
79.8
63.24
116.19
2.892
4.391
7.817
3.605
3.063
4.689
5.843
3.208
R2
0.999
0.998
0.999
0.997
0.999
0.999
0.998
0.999
qexp
123.54
82.795
46.51
106.55
129.42
78.875
62.885
113.93
Carboxylic acid modified HCP
Pseudo-first-order
133.92
51.95
27.19
104.50
135.09
70.59
55.67
117.77
0.2729
0.2612
0.2593
0.2538
0.2728
0.2572
0.2518
0.2451
R2
0.924
0.950
0.952
0.933
0.931
0.948
0.959
0.946
Pseudo-second-order
146.33
56.87
29.78
114.52
147.61
77.33
61.05
129.36
2.681
6.554
12.40
3.151
2.656
4.735
5.841
2.667
R2
0.998
0.999
0.997
0.998
0.999
0.997
0.999
0.998
qexp
143.45
55.80
29.67
111.77
144.68
76.43
60.70
127.41
Comparison of kinetic models and experimental values of adsorption capacity of lead, cadmium, nickel, copper at 35 °C and pH = 7 by (a) xylene based HCP, (b) carboxylic acid modified HCP.
3.6 Comparison of the samples efficiency with similar studies
In this section, a comparison between the present work and similar studies on the heavy metal adsorption from multi component systems using porous polymeric adsorbents, was done. The results of the literature review are summarized in Table 9. As presented in the Table 7, the xylene based HCP and the modified HCP sample show high overal uptake capacities of q = 408.04 mg/g and q = 417.04 mg/g, respectively. By comparing the results of the present study with other works in a similar operating condition, it can be concluded that both types of HCP adsorbents show high performance in simultaneously heavy metal adsorption in a multi component system.
Adsorbent
Operational condition
Adsorbate
Adsorption capacity (mg/g)
Ref.
T (K)
pH
C0 (mg/l)
SHCP-1
293
7
1230, 817
Cs+, Sr2+
42.05, 63.3
(James, 2019)
UiO-66-NDC/GO
298
6
250
Pb2+
254.45
(Singh, 2023)
Carboxylated MWCNT
298
8
50
Cd2+
59.7
(Alimohammady et al., 2018)
Pyrazole MWCNT
298
7.95
50
Cd2+
93.7
(Alimohammady et al., 2018)
MWCNT-COOH
298
7
50
Pb2+
16.63
(Tahermansouri and Beheshti, 2013)
COOH@COF
298
6
10
Hg2+, Pb2+
99.1, 123.8
(Lu, 2019)
MF–NTA
308
6
100
Cu2+
29.7
(Baraka et al., 2007)
HTC-HCP
298
7
100
Cd2+, Pb2+, Ni2+
60, 180, 20
(Yang, 2021)
SAM-HCPs
323
5.48
80
Cu2+
57.68
(Li, 2011)
APTZ-PS
308
5, 6, 2
95, 310, 601
Cu2+, Pb2+, Hg2+
59.0, 271.4, 220.6
(Zhang et al., 2014)
CSAP
303
5
100
Cu2+, Cd2+, Ni2+
124, 84, 67
(Monier et al., 2012)
Kryptofix-22
298
7
20
Cd2+, Cr3+, Ni2+
3.18, 3.72, 2.35
(Yılmaz, 2007)
SMA
298
6.7
200
Cu2+, Zn2+, Ni2+
14.45, 15.13, 11.86
(Gonte and Balasubramanian, 2016)
cross-linked carboxymethyl corn starch
298
6
200
Cu2+, Pb2+, Cd2+
127, 202.3, 193.3
(Kim and Lim, 1999)
cross-linked polyzwitterionic acid (CPZA)
298
6, 4
100
Cu2+, Pb2+
1080, 1488
(Al Hamouz and Ali, 2012)
Chitosan/rectorie (CTS/REC) nano-hybrid
313
6
200
Cu2+, Cd2+, Ni2+
20.49, 16.53, 13.32
(Zeng, 2015)
Xylene based HCP
308
7
100
Pb2+, Cd2+
Ni2+, Cu2+
127.92, 89.11
73.51, 117.53This work
Carboxylic acid modified HCP
308
7
100
Pb2+, Cd2+
Ni2+, Cu2+
135.54, 96.86
62.23, 124.19
3.7 Thermodynamic modelling
In engineering processes, thermodynamic concepts such as entropy and Gibbs free energy are employed to assess the spontaneity of a process. Additionally, thermodynamic parameters can provide insight into the adsorption process's nature, particularly whether it involves an endothermic or exothermic. In the present research, the thermodynamic analysis of the heavy metal adsorption process was performed by computing the thermodynamic parameters, such as Gibbs free energy (ΔG°), entropy (ΔS°), and enthalpy (ΔH°) at a pH value of 7, an initial concentration of 60 mg/l, and the temperature between 30 °C and 60 °C, using equations (23–25).Van’t Hoff’s plots for adsorption of lead, cadmium, nickel and copper ions by (a) HCP adsorbent (b) carboxylic acid modified HCP.
Sample
Adsorbate
(kJ/mol)
(kJ/mol K)
(kJ/mol)
303 K
313 K
323 K
333 K
Xylene based HCP
Pb2+
−12.875
−0.008
−10.481
−10.403
−10.325
−10.246
Cu2+
−10.633
−0.009
−7.837
−7.745
−7.653
−7.560
Ni2+
−6.743
−0.0128
−2.858
−2.730
−2.601
−2.473
Cd2+
−5.036
−0.0085
−2.452
−2.367
−2.2819
−2.1967
Carboxylic acid modified HCP
Pb2+
−17.034
−0.015-
−12.634
−12.489
−12.344
−12.1989
Cu2+
−19.814
−0.029
−10.941
−10.649
−10.356
−10.0634
Ni2+
−5.3876
−0.01189
−1.7805
−1.661
−1.5425
−1.4235
Cd2+
−9.179
−0.0189
−3.435
−3.246
−3.056
−2.867
3.8 Regeneration efficiency of adsorbents
From an economic perspective, the reusability of the adsorbent is a critical factor for industrial applications. To assess the recyclability of the adsorbents, ten cycles of adsorption were performed at a temperature of 45 °C and a pH value of 7 using both types of adsorbents. To regenerate the spent samples, the adsorbents were subsequently mixed with 0.05 M hydrochloric acid (HCl) and stirred for 2 h. The results of the recycling efficiency are presented in Fig. 19. According to this figure, the adsorption potential of carboxyl group-modified HCP for adsorbing lead, cadmium, nickel, and copper decreased by 4.5 %, 2.1 %, 1.2 %, and 3.13 %, respectively. Additionally, the adsorption potential of xylene-based HCP for adsorbing lead, cadmium, nickel, and copper reduced by 2.66 %, 1.26 %, 1.2 %, and 1.96 %, respectively, after ten cycles. Based on the results, both types of adsorbents could be considered as high-value adsorbents for industrial applications due to the slight decrease in their efficiency.Regeneration efficiency of (a) xylene based HCP, and (b) carboxylic acid modified HCP sample.
3.9 Adsorption mechanism
The heavy metal ions adsorption by the HCP sample is affected by several factors, such as the chemical properties of the sorbent and the physicochemical characteristics of the metal ions. The interaction between the sorbent and the metal ions occurs through various mechanisms, such as coordination, ion exchange, and electrostatic attraction (Wu, 2013; Zare-Dorabei et al., 2016). Specifically, the HCP network exhibits a chelating interaction between its carboxyl groups and the heavy metal ions, leading to forming the stable complexes. Additionally, the benzene ring in the adsorbent structure participates in a cation-π interaction with the metal ions, enhancing the adsorption efficiency. Moreover, the HCP network's porous structure, which includes micro-, meso-, and macropores, provides a large surface area for the uptake of metallic ions. The HCPs are primarily composed of microporous material due to the presence of benzene co-monomers. This allows the multiple benzene rings of HCPs to generate strong cation-π interactions with metal ions. The heavy metal adsorption mechanisms including cation-π interaction and complexation are graphically illustrated in Fig. 20.Cation-π interaction and complexation mechanisms of the divalent heavy metal adsorption.
4 Conclusion
In this work, experimental investigation of the heavy metal adsorption process were conducted in a multi component system including lead, cadmium, nickel, and copper ions. Aim to evaluate the HCP material adsorption capability and the effect of chemical modification of the HCP adsorbent on the lead uptake selectivity over the other metals, the xylene based HCP and the carboxylic acid functionalized HCP samples were utilized as solid sorbent. Based on the results, FT-IR analysis proves the successfully incorporation of the carboxyl group to the HCP sample skeleton, also BET analysis refer to the decreasing of the specific surface area of the HCP sample after modification, from 237.73 m2/g to 153.43 73 m2/g. The RSM based optimization was conducted with respect to maximization of the lead uptake selectivity, and the optimal condition namely temperature of 31.8 °C, pH of 5.0, initial concentration of 82.50 mg/l, and temperature of 30.0 °C, pH of 5.5, initial concentration of 100 mg/l were obtained for the HCP sample and the modified HCP sample, respectively. The results of the selectivity investigation at the optimal condition showed that the chemically modification of the HCP sample increased the Pb/Cd selectivity from 2.41 to 4.11, the Pb/Ni selectivity from 3.03 to 6.43, and Pb/Cu selectivity from 1.25 to 1.32. According to thermodynamically study of the process, metallic ions adsorption by both types of the adsorbents were spontaneously ( < 0), and exothermic ( < 0), also enthalpy values less than 20 kJ/mol prove the physically adsorption of the metallic ions. In conclusion, the resulting samples can be used in industrial applications respect to their high regenerability efficiency and high selectivity of the lead uptake from aqueous solutions.
Declaration of competing interest
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
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