Open Access Article
Md. Samrat Hossain,
Md. Anwarul Karim
* and
Sharmin Sultana Dipti
Department of Applied Chemistry and Chemical Engineering, University of Rajshahi, Motihar, Rajshahi 6205, Bangladesh. E-mail: makarim72@ru.ac.bd
First published on 18th March 2026
We prepared an eco-friendly graphene oxide (GO)-incorporated composite bead adsorbent, comprising sodium alginate (SA) and polyvinyl alcohol (PVA), via in situ cross-linking between GO and SA using calcium chloride as a cross-linking reagent, which is uniformly distributed within the PVA matrix. Fourier transform infrared (FTIR) spectroscopic analysis of the functional groups confirmed the successful preparation of the composite. The batch process was used to treat aqueous solutions containing CPX. Adsorbent characteristics are evaluated through measurements of moisture content, ash content, point of zero charge (pHpzc), pore volume, ion exchange capacity, specific surface area, oxidative stability, thermogravimetric analysis (TGA), X-ray diffraction (XRD), scanning electron microscopy (SEM), energy-dispersive spectroscopy (EDS), and X-ray spectroscopy. The point of zero charge, specific surface area, moisture content, ash content, pore volume, ion exchange capacity, and oxidative stability of the adsorbent were 7.07, 1991 mg g−1, 11.72%, 78.92%, 1.7%, 0.7857%, and 96.45%, respectively. Adsorption experiments revealed that the beads achieved the maximum adsorption capacity under optimal conditions and that the highest removal efficiency was 89.82%. Among the four linear and non-linear isotherms, the Langmuir adsorption isotherm model indicated that the adsorption occurred by monolayer formation. Thermodynamic and kinetic analyses indicate that the adsorption process is spontaneous and exothermic, and that it adheres to pseudo-second-order kinetics. These findings highlight the GO/PVA/CA composite beads as promising, economical, and eco-friendly adsorbents for the removal of pharmaceutical contaminants (especially CPX) from wastewater.
Ciprofloxacin (CPX) [C17H18FN3O3] is a synthetic quinolone classified as a third-generation antibiotic, widely recognized for its potent antimicrobial activity. However, CPX is known for its difficulty in biodegradation.18 There are three distinct forms of CPX in a solution: cationic, characterized by the amino group (has a charge of +1) in solutions with a pH of less than 5.90 ± 0.15; anionic, which has a carboxylate anion (hydrogen ions, H+, removed from it) in solutions with a pH greater than 8.89 ± 0.11; and zwitterionic, which has positively (cationic form) and negatively (anionic form) charged functional groups, as shown in Fig. 1, resulting in an overall neutral charge.19 CPX may enter aquatic habitats through manufacturing processes or as partially metabolized substances excreted by humans.20 At high concentrations, CPX can weaken the immune system and promote the proliferation of antibiotic-resistant bacteria.21
This scenario can foster a vicious cycle, in which more resilient bacterial infections require increasing doses of CPX for treatment. This vicious cycle may result in elevated CPX concentrations in the environment, which can be extremely harmful to human health. Consequently, before release, CPX levels must be brought within appropriate limits.22
Many techniques, such as membrane separation,23 oxidation reactions,24 adsorption treatment,18 activated sludge treatment,25 microbial degradation,26 and photocatalytic degradation,27 have been used to extract CPX from wastewater; among them, some are chemical and physical methods. Adsorption treatment is considered the most promising of these techniques due to its simple theoretical design, cost-effectiveness, ease of use, and relatively minimal creation of hazardous byproducts.28–30 A variety of adsorbents, including activated carbon,31 montmorillonite,32 carbon nanotubes,33 hydrous iron oxides,32 kaolinite,33 and graphene,34 have been investigated for the removal of CPX from aqueous solutions.
Sodium alginate (SA), the sodium salt of alginic acid, comprises copolymers that feature β-1,4-glycosidic linkages between β-L-mannuronic acid (unit M) and β-D-guluronic acid (unit G).35 Due to its biocompatibility, nontoxicity and abundance of hydroxyl and carboxyl groups, SA readily interacts with polyvalent ions such as Ba2+, Ca2+, and Fe3+, facilitating crosslinking. This characteristic has led to the use of SA as an adsorbent for the removal of heavy metals,36 dyes,37 and antibiotics.33 The pore structure of the SA gel plays a vital role in the adsorption process in these studies. However, these solutions and gels are also susceptible to bacterial contamination.38 To enhance adsorption capacities and impart antibacterial properties, numerous studies have focused on improving the structure of the alginate pores.39–41
With its two-dimensional, sheet-like carbon structure, graphene oxide (GO) has become one of the most popular carbon compounds in recent years. Its surface and borders are sporadically decorated with carboxyl, epoxy, and hydroxyl groups. These features enable cation interactions, hydrogen bonding, π–π stacking, and other special mechanical and physicochemical capabilities. They also provide a significant specific surface area and exceptional dispersibility in aqueous solutions.42 GO and its compounds have been proven to be effective in the removal of various contaminants, including methyl blue,43 tetracycline antibiotics,44 arsenic,45 and Hg2+.46 However, the application of GO in environmental contexts is somewhat limited due to its potential nanotoxicity.47 Furthermore, it is challenging for GO to adsorb antibiotics effectively.
Recent studies on wastewater treatment have focused a lot of interest on graphene and graphene oxide (GO) because of their exceptional ability to adsorb a variety of pollutants. In this study, we utilized sol–gel chemistry to fabricate novel GO/PVA/CA hybrid composite gel beads by encapsulating graphene oxide in sodium alginate (SA). This method enhanced the pore uniformity of sodium alginate, reduced average pore size, and mitigated the nanotoxicity associated with GO. The gel beads were characterized using thermogravimetric analysis (TGA), focused ion beam scanning electron microscopy (SEM), and Fourier transform infrared (FT-IR) spectroscopy. Investigations on CPX adsorption were conducted by taking into account the effects of the adsorbent dosage, agitation time, and initial CPX concentration. The equilibrium adsorption data were fitted to nonlinear Langmuir isotherms to ascertain the composites' maximum adsorption capabilities. Furthermore, pseudo-first-order and pseudo-second-order kinetics models were used to assess the adsorption kinetics.
:
9 volume ratio (we used 170.2 mL of H2SO4 and 19.4 mL of H3PO4 for a 200 mL batch) and stirred for several minutes in an ice bath. 1 g of the graphite powder and 9.8 g of potassium permanganate (KMnO4) were gradually introduced into 200 mL of the mixed solution under stirring, as shown in Fig. 2. The mixture was transferred to an oil bath and heated at 90 °C for 90 minutes. After adding 75 mL of deionized water, the mixture was stirred and left for 120 minutes. The reaction was then stopped by gradually adding 40 mL of hydrogen peroxide and 125 mL of deionized water (DI) while the mixture was submerged in an ice bath. It was necessary to chill the solution because an exothermic reaction had occurred. A centrifuge machine (DSC-200A-2) was used to centrifuge the resulting solution for 20 minutes at 6000 rpm after it was diluted with a 20% HCl solution. After removing the supernatant, the precipitates were washed repeatedly with deionized (DI) water until a neutral pH was achieved. The samples produced were then dried for around 36 hours at 100 °C in an oven.
After 3 hours of sonication to create a homogeneous solution, the solution was degassed. After cooling, the GO/PVA/CA dispersion was added dropwise into a mixed curing solution containing saturated boric acid (5%) and CaCl2 (5%) using a peristaltic pump (15 rpm, 1 mm internal pipe diameter). The solution was then carefully stirred to create spherical hydrogel beads, as shown in Fig. 2. Finally, to achieve a stable shape, the gel beads were submerged in a CaCl2-saturated boric acid mixed solution for 12 hours. The graphical representation of the chemical reaction that occurs during the preparation of GO/PVA/CA is presented in Fig. 3.
The crystallinity of the GO/PVA/CA samples was analyzed using an X-ray diffractometer (Tokyo, Japan). The Bragg equation was used to calculate the d-spacing of the GO samples:
2d sin θ = nλ
| (1) |
The TGA PerkinElmer simultaneous thermal analyzer (STA) 8000 was used to study the thermal stability of the GO/PVA/CA composite bead adsorbents. Heat was applied at 20 °C min−1, and the temperature range was from 15 °C to 800 °C.
At an operating voltage of 15 kV, the surface morphologies of the GO/PVA/CA composite hydrogel beads were examined using SEM (Tokyo, Japan). After being cryogenically shattered in liquid nitrogen and freeze-dried, the samples were sputter-coated with gold for 4 minutes.
To analyze the elemental composition of the composite, EDS was used in combination with scanning electron microscopy (SEM). When a material is bombarded with an electron beam, it emits X-rays, each corresponding to a specific energy that is unique to the element present in the sample. By measuring these X-rays, EDS can identify and quantify the elements in the sample. The expected mechanism of purification of CPX-contaminated wastewater is shown in Fig. 4.
The pHpzc was obtained from the plot of ΔpH against pH.
| ΔpH = (pHi − pHf) | (2) |
At the optimal pH, CPX's protonated amine and zwitterionic carboxyl groups interact with GO's negatively charged sites (carboxyl groups) and alginate's guluronate blocks, favouring cation exchange with Ca2+.22 The hydroxyl (–OH) and carboxyl (–COOH) groups on GO, PVA, and alginate form H-bonds with CPX's fluoroquinolone ring, amine, and carbonyl oxygens, boosting affinity under neutral conditions.53 This is in agreement with the point of zero charge value of the GO/PVA/CA composite beads, as shown in Fig. 5. The GO's aromatic graphene sheets enable π–π stacking with CPX's quinolone rings, while PVA enhances bead stability and hydrophilicity to prevent aggregation.54 Graphene oxide (GO) improves the pore uniformity and surface area of polyvinyl alcohol/calcium alginate (PVA/CA) beads through ionic crosslinking, while PVA contributes to enhanced mechanical stability. Analogous composites, such as GO–sodium alginate (GO–SA) beads, demonstrate a 7–9-fold increase in capacity compared to pure or only alginate. The measured properties of the GO/PVA/CA composite beads are summarized in Table 1.
| Measurement | Value |
|---|---|
| Specific surface area | 1991 mg g−1 |
| Moisture content | 11.72% |
| Pore volume | 78.92% |
| Ash content | 1.7% |
| Ion exchange capacity (IEC) | 0.7857 meq. per g |
| Oxidative stability | 96.45% |
O (ketone) groups, among others. The unique peaks associated with the stretching vibrations of –OH (3429 cm−1), –COOH (1725 cm−1), –C
C– (1629 cm−1), and C–OH (1069 cm−1) indicate the presence of oxygen on flat, two-dimensional graphene oxide (GO).55–57 The stretching vibrations of the epoxy groups (C–OC) and C–OH groups, respectively, are identified as the cause of the absorption peaks at 1069 cm−1 and 1254 cm−1, respectively. The appearance of distinctive absorption peaks associated with PVA and SA molecules, such as the one at 1425 cm−1, which corresponds to the COO− stretching vibration, and those at 1069 and 889 cm−1, which are attributed to the stretching vibrations of OH and C–C, respectively, suggests that the PVA and SA molecules are intercalated into GO layers through hydrogen bonding interactions.
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| Fig. 7 FTIR spectra of GO, the GO/PVA/CA composite before CPX adsorption, and the GO/PVA/CA composite after the adsorption of CPX. | ||
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| Fig. 8 Thermogravimetric analysis (TGA) of the GO/PVA/CA composite beads before and after the adsorption of CPX. | ||
![]() | (3) |
![]() | (4) |
![]() | (5) |
Therefore, an increase in the mass of the adsorbent in aqueous environments leads to a higher uptake of the adsorbate. Increasing the dosage of adsorbents such as graphene oxide (GO), polyvinyl alcohol (PVA), or calcium alginate (CA) during ciprofloxacin (CPX) adsorption improves overall removal efficiency while decreasing the adsorption capacity per gram of adsorbent. Initially, as the adsorbent dose increases, the removal efficiency increases because more active sites are available to bind to ciprofloxacin molecules. At higher doses of the adsorbent, the adsorption capacity (measured in milligrams of ciprofloxacin adsorbed per gram of the adsorbent) may decrease. This reduction can be attributed to the aggregation of adsorbent particles or saturation, which reduces the effective surface area available for adsorption.62,63 In this study, varying amounts of the GO/PVA/CA composite beads, ranging from 0.1 to 0.5 g, were used to adsorb ciprofloxacin (CPX). The objective was to evaluate the impact of different dosages of the adsorbent on the removal of ciprofloxacin. The results demonstrating these effects are presented in Fig. 9. As the adsorbent dosage increases from 0.1 to 0.5 g, the percentage of ciprofloxacin removal increases significantly from 19.21% to 75.66%. While increasing the adsorbent dose enhances the overall removal efficiency up to a certain optimum point, the adsorption capacity per gram tends to decline beyond this threshold due to limitations in available surface sites and the effects of particle aggregation.54 We determined that the optimal dosage of the GO/PVA/CA adsorbent is 0.5 g, as illustrated in Fig. 9.
Therefore, the initial concentration of CPX directly affects the adsorption capacity of the GO/PVA/CA composite beads by improving the availability and interaction of adsorbate molecules, up to the point of site saturation under batch adsorption conditions.54 To study the effect of the initial concentration of CPX on the adsorption capacity of the GO/PVA/CA composite beads, 0.5 g of the GO/PVA/CA composite bead sample was added to 50 mL of aqueous solutions with different concentrations of CPX and shaken at 298 K for a contact duration of 150 min. Fig. 10 shows that the adsorption capacity increases as the CPX concentration increases from 20 to 100 mg L−1. The highest CPX adsorption capacity on the GO/PVA/CA composite beads is 7.15 mg g−1, and the removal efficiency first increases and then decreases. The maximum removal efficiency is 89.82% at a concentration of 40 mg L−1.
Beyond this timeframe, additional adsorption is minimal, as the active sites available on the adsorbent are saturated.65 This behavior is typical of adsorption kinetics, where the uptake initially rises rapidly and then stabilizes as equilibrium approaches. The consistent adsorption percentage from 120 to 180 minutes confirms that sufficient active sites are saturated at this point. Therefore, the optimal contact time for the effective removal of CPX is approximately 150 minutes.64 This is due to the multifunctional properties of the GO/PVA/CA composite bead, which acts as an effective adsorbent, enhancing electrostatic interactions and hydrogen bond formation for exceptional removal efficacy.
The point of zero charge (pHpzc) for the GO/PVA/CA composite is 7.07. At this pH, the material's surface is neutral, as shown in Fig. 5. When the pH of the solution falls below this pHpzc (for example, between pH 4 and 6), the surface of the adsorbent becomes positively charged because of protonation. Conversely, when the pH rises above the pHpzc, the surface becomes negatively charged. Ciprofloxacin (CPX) is an amphoteric molecule with two pKa values, approximately 6.1 and 8.7. At pH levels between 4 and 6, most CPX molecules exist primarily in their cationic form because the amine group is protonated. In this pH range, the surface of the GO/PVA/CA composite tends to be near or slightly positively charged, which enhances adsorption as a result of attractive electrostatic interactions with the cationic CPX.
Furthermore, other mechanisms, such as hydrogen bonding and π–π interactions, may contribute to increased adsorption. In this pH range, CPX does not convert to its zwitterionic or anionic forms, which would decrease its electrostatic affinity.68,69
Therefore, the higher adsorption of CPX at pH 4–6 can be primarily attributed to the electrostatic attraction between the positively charged CPX species and the adsorption surface (as shown in Fig. 12), which is near or slightly below its point of zero charge. This maximizes interactions with functional groups while avoiding the repulsive effects that would occur at pH values above the pHpzc, where the surface becomes more negatively charged, and CPX is likely to exist in zwitterionic or anionic forms. This results in more effective adsorption at a pH slightly below the pHpzc (pH 6 instead of 7.07), as CPX molecules can interact more strongly with the adsorbent without significant electrostatic hindrance.54
The test results demonstrate that the GO/PVA/CA composite beads have the best percentage clearance of CPX at 30 °C. The adsorption capacity of ciprofloxacin (CPX) on composite beads made from GO, polyvinylidene, and poly(vinyl alcohol) generally increases with temperature. This suggests that the adsorption process is endothermic and is favored at higher temperatures. The increased temperature likely enhances the mobility of CPX molecules and activates more adsorption sites on the composite beads.63,70 Conversely, ciprofloxacin adsorption onto GO-based composites decreases as the temperature increases; this indicates an exothermic process. In this case, the temperature increase enhances the solubility of ciprofloxacin in the solution, which reduces its affinity for the adsorbent surface, resulting in a lower amount being adsorbed. This phenomenon is well documented in adsorption studies, where increased solubility counteracts the forces that drive adsorption onto the composite materials.71
Typically, the adsorption capacity for ciprofloxacin (CPX) of composite adsorbents such as GO/PVA/CA beads shows a temperature-dependent behavior. The adsorption efficiency increases up to an optimum temperature (around 30 °C in this case, with a removal efficiency of 87.58%) and then gradually decreases beyond this temperature, as shown in Fig. 13. As the temperature increases up to approximately 30 °C, the adsorption capacity improves. This enhancement can be attributed to the increased mobility of the CPX molecules in the solution, which allows greater accessibility to active adsorption sites on the composite. Consequently, this leads to a higher removal efficiency at this optimal temperature. However, beyond the optimal temperature of 30 °C, the adsorption capacity gradually decreases. This decline is often due to the exothermic nature of the adsorption process for such composites. As the temperature increases, the affinity of the adsorbate (CPX) for the adsorbent surface diminishes; this is caused by an increase in the solubility of the drug in the solution and potential changes in the surface porosity or interactions. The decrease in adsorption at higher temperatures suggests that the physical forces responsible for adsorption weaken or that desorption becomes more dominant as the temperature exceeds the optimum.
Therefore, for CPX adsorption on GO/PVA/CA composite beads, there is generally an increase in the adsorption capacity with temperature up to a moderate range (around 30 °C). Beyond this point, the capacity may decline as the temperature continues to rise. This behavior reflects a balance between enhanced molecular movement and increased availability of adsorption sites versus a reduced affinity for the adsorbent due to increased solubility or structural changes at elevated temperatures.72
The observed shift in the XRD peaks indicates that the adsorption of CPX alters the structural properties of the composite beads. This alteration may be due to physical adsorption or chemisorption interactions that modify lattice spacings or create new ordered domains within the adsorbent matrix. Changes in peak positions and intensities after adsorption are typical, as they reflect the successful binding of the adsorbate and potential rearrangement or cross-linking within the polymer matrix. Additionally, the presence of new characteristic peaks or shifts in FTIR and XRD spectra after adsorption highlights the physical adsorption mechanisms and effective interactions between the adsorbent and the adsorbate.73 Therefore, changes in the XRD patterns before and after CPX adsorption confirm that the GO/PVA/calcium alginate composite beads undergo structural modifications as a result of CPX binding, as evidenced by the appearance of new and shifted crystalline peaks.
These beads are typically prepared by mixing sodium alginate and PVA in a dispersion of GO, followed by crosslinking with calcium ions. Numerous polygonal pores with thin walls and open pores are visible for the 5% PVA, 5% SA, and 1% GO composite bead hydrogel. The SEM images generally illustrate the morphology and surface texture of the resulting composite beads, as shown in Fig. 15(a). They usually exhibit a spherical shape and a carbonaceous structure due to the presence of GO, PVA, and calcium alginate. The surface morphology, characterized by increased porosity and roughness due to the incorporation of GO, leads to a larger surface area for adsorption.
Images may reveal some irregularities, such as cracks and pores. The size and distribution of these pores are influenced by the composition and cross-linking method. Compared to pure alginate beads, the rougher surface morphology suggests enhanced mechanical stability and more active adsorption sites, attributable to the polymer blend (comprising PVA and alginate) and the presence of GO. Fig. 15(b) shows the scanning electron microscopy (SEM) image of the GO/PVA/CA composite bead surface after ciprofloxacin adsorption. The surface becomes relatively smoother, and many pores are blocked or covered by adsorbed molecules. This morphological change confirms that adsorption occurs because the porous network is less visible compared to the pristine sample. The pore size distribution in Fig. 15(c) indicates that before adsorption, most of the pores are concentrated within the 0.1–0.4 µm diameter range, with the highest frequency (∼43%) at approximately 0.2 µm. This indicates that the GO/PVA/CA composite beads possess a micro–mesoporous network. Such small pore diameters are advantageous because they increase the surface area and improve the accessibility of the adsorption sites, facilitating the diffusion and binding of ciprofloxacin molecules. The presence of a few larger pores (>1.0 µm) suggests heterogeneity in the pore structure, which may further aid in mass transport during adsorption. The pore size distributions of the GO/PVA/CA composite beads were examined using Image-Pro Plus software before and after adsorption.
The dispersion of GO within the PVA/alginate matrix is typically uniform, resulting in a composite with good mechanical and adsorption properties.54,74 These characteristics collectively enhance adsorption performance by providing ample interaction sites and favorable diffusion channels for target molecules.
Before the adsorption process, the EDS spectrum typically shows elements corresponding to the constituents of the beads: carbon from GO and PVA, oxygen from alginate and GO, calcium from calcium alginate, and possibly other trace elements depending on the synthesis method.75 After CPX adsorption, the EDS spectrum displays new or intensified signals for elements associated with the CPX molecule, particularly nitrogen from the amine groups and fluorine, which is distinctive to CPX. The increase in the intensity of the nitrogen peak confirms the adsorption of CPX molecules onto the composite surface. Furthermore, the relative atomic percentages of carbon and oxygen may change as a result of surface coverage by CPX. The calcium signal may also vary depending on its interaction with CPX. These changes in EDS observed before and after adsorption provide elemental evidence supporting the capture of CPX by the composite beads. This finding complements other characterization techniques, such as FTIR spectroscopy. The elemental composition of the GO/PVA/CA composite beads before and after adsorption was analysed using EDS, as shown in Fig. 16 and 17.
The energy-dispersive X-ray spectroscopic (EDS) analysis of the GO/PVA/CA composite beads both after and before ciprofloxacin adsorption indicates significant changes in the elemental composition, confirming successful adsorption and interaction. The elemental composition changes, as indicated by an increase in the mass percentage of carbon (C) from 19.27% before treatment to 29.60% after treatment. This indicates the addition of ciprofloxacin, an organic compound, to the surface of the beads. The oxygen (O) mass% decreases from 70.53% (before) to 51.16% (after). This suggests that CPX occupies oxygen-rich groups (e.g., carboxyl and hydroxyl) on the surface, reducing detectable oxygen. The mass percentage of calcium (Ca) decreased from 10.20% before treatment to 3.15% after treatment. This reflects the role of calcium in interactions with CPX, possibly through ionic bonding or partial surface coverage. Nitrogen (N) is present at a mass percentage of 11.58% in the post-adsorption spectrum, while it is not detected in the pre-adsorption spectrum. This confirms the presence of ciprofloxacin, which contains nitrogen in its molecular structure. The post-adsorption spectrum indicates that fluorine (F) is present at 1.12% by mass. This is a unique marker of CPX that confirms its adsorption onto the composite beads. Chlorine (Cl) is present at a mass percentage of 3.39% in the post-adsorption spectrum. The product probably originates from CPX or residual chemicals in wastewater.
Carbon and oxygen molecules are uniformly distributed across the bead surface before adsorption. Following adsorption, an increase in carbon content and a decrease in oxygen content are observed, which suggests surface interaction with CPX molecules. Nitrogen and fluorine are not present before adsorption but are clearly visible after adsorption, confirming the adsorption of CPX onto the composite beads. Calcium's intensity decreases after adsorption, suggesting its role in CPX binding or interaction.
The EDS analysis also highlights the probable mechanism: (a) hydrogen bonding: CPX with oxygen-rich functional groups (carboxyl, hydroxyl) of the composite beads. (b) Electrostatic interactions: potential interaction between CPX's negatively charged functional groups and calcium ions. (c) π–π interactions: the carbonaceous structure of graphene oxide may also make adsorption easier by forming π–π stacking with the aromatic rings of CPX.
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| Fig. 18 Linear fits of Langmuir, Freundlich, Temkin, and Dubinin–Radushkevich (D–R) adsorption isotherm models. | ||
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| Fig. 19 Nonlinear fits of the Langmuir, Freundlich, Temkin, and Dubinin–Radushkevich (D–R) adsorption isotherm models. | ||
| Linear fit of the Langmuir isotherm model | qm (mg g−1) | 8.210 |
| R2 | 0.9588 | |
| KL (L mg−1) | 0.30 to 0.08 | |
| Linear fit of the Freundlich isotherm model | KF (mg g−1) | 1.1207 |
| R2 | 0.9274 | |
| n | 2.11059 | |
| Linear fit of the Temkin isotherm model | BT (J mol−1) | 1429.26 |
| R2 | 0.9454 | |
| AT (L mg−1) | 1.120763 | |
| Linear fit of the Dubinin–Radushkevich (D–R) model | qm (mg g−1) | 0.00013811 |
| R2 | 0.9339 | |
| E (kJ mol−1) | 11 800 |
| Nonlinear fit of the Langmuir isotherm model | qm (mg g−1) | 10.14 |
| R2 | 0.9715 | |
| KL (L mg−1) | 0.0566 | |
| Nonlinear fit of the Freundlich isotherm model | KF (mg g−1) | 2.0439 |
| R2 | 0.9354 | |
| n | 6.5888 | |
| Nonlinear fit of the Temkin isotherm model | BT (J mol−1) | 1.829 |
| R2 | 0.9456 | |
| AT (L g−1) | 0.2974 | |
| Nonlinear fit of the Dubinin–Radushkevich (D–R) model | qm (mg g−1) | 5.7715 |
| R2 | 0.8378 | |
| E (kJ mol−1) | 0.1984 |
Four different isotherm models, namely, Langmuir, Freundlich, Temkin, and Dubinin–Radushkevich (D–R), were used in their linear and nonlinear forms to investigate the type of adsorption process, either monolayer or multilayer.49,76,77
Adsorption isotherms describe how adsorbents interact with adsorbent materials, and the Langmuir (monolayer),78 Freundlich (multilayer/heterogeneous), Temkin (heat of adsorption), and D–R (porous filling) models are critical. Nonlinear models directly fit experimental data to avoid distortion of errors, while linear models are used for graphical parameter determination. The Langmuir linear and nonlinear isotherms' mathematical forms are as follows:
![]() | (6) |
![]() | (7) |
The Freundlich adsorption isotherms' linear and nonlinear mathematical forms are as follows:
![]() | (8) |
![]() | (9) |
The Temkin adsorption isotherms' linear and nonlinear mathematical forms are as follows:
![]() | (10) |
![]() | (11) |
The Dubinin–Radushkevich (D–R) adsorption isotherms' linear and nonlinear mathematical forms are as follows:
ln qe = ln qs − Kadε2
| (12) |
qe = qs exp(−Kadε2)
| (13) |
.
The Freundlich (R2 = 0.9274), Langmuir (R2 = 0.9588), Temkin (R2 = 0.9454), and Dubinin–Radushkevich (D–R) (R2 = 0.9339) models at 40 °C are well-fitted, as indicated by their R2 values. The adsorption of CPX on GO/PVA/CA is a multilayer process on heterogeneous surfaces, as indicated by the Freundlich adsorption isotherms. By contrast, the electrostatic interaction involved in the adsorption process is demonstrated by a suitable fitting of the Temkin model.
Nonlinear adsorption isotherm models fit CPX adsorption equilibrium data onto graphene oxide/polyvinyl alcohol/calcium alginate (GO/PVA/CA) composites with greater accuracy than linear models, thereby minimizing transformation biases. The results indicate that the nonlinear Langmuir isotherm model exhibits the highest correlation with the experimental data (R2 = 0.9715). This model characterizes adsorption as the formation of a single layer of adsorbate molecules on a surface with uniform adsorption sites, each possessing identical energy. Consequently, each active site binds only one CPX molecule, and no further adsorption occurs at occupied sites. The high maximum monolayer adsorption capacity of 10.14 mg g−1 demonstrates a strong affinity between the composite material and CPX.
The Freundlich isotherm's n parameter, being greater than 1, indicates that the adsorption process is favorable. The Temkin model suggests the presence of moderate energy interactions between CPX and the adsorbent. However, the superior fit of the nonlinear Langmuir model, which directly represents the experimental data without mathematical transformations, validates the concept of monolayer adsorption, as shown in Fig. 19. To further elucidate the CPX adsorption mechanism on the GO/PVA/CA composite, the Dubinin–Radushkevich (D–R) isotherm model was applied. The linear relationship observed in the plot of ln
qe against ε2 (the Polanyi potential), as shown in Fig. 18, with a high coefficient of determination (R2 = 0.9339 for the linear model and 0.8378 for the nonlinear model), supports the applicability of this model. The D–R constant (β) is determined, and the mean free energy of adsorption (E) is calculated to be 0.1984 kJ mol−1 in the nonlinear fitting. The findings from the D–R model are consistent with those from the Langmuir and Freundlich models. These results further support the conclusion that adsorption occurs on a largely uniform surface, as indicated by the Langmuir model, through a physical mechanism. This is consistent with the low energy requirement and the observed reversible nature of the adsorption process in the regeneration study.
ln(qt − qe) = ln qe + k1t
| (14) |
| qt = qe(1 − e−k1t) | (15) |
Pseudo-second-order model:
![]() | (16) |
![]() | (17) |
Intraparticle diffusion model:
| qt = kidt1/2 + C | (18) |
The linearized form of the model equation, depicted in Fig. 20, was used to analyze the experimental data. Table 3 displays the different kinetic characteristics associated with CPX adsorption on the GO/PVA/CA composite beads. For intraparticle diffusion, pseudo-first-order, and pseudo-second-order models, the correlation coefficients (R2) are 0.9831, 0.9939, and 0.9508, respectively.
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| Fig. 20 Linear pseudo-first-order kinetic model, pseudo-second-order kinetic model, and intraparticle diffusion kinetic model of the GO/PVA/CA composite beads. | ||
Nonlinear pseudo-first-order, pseudo-second-order, and intraparticle diffusion models describe the adsorption kinetics of ciprofloxacin (CPX) onto graphene oxide (GO)/PVA/calcium alginate beads, revealing chemisorption and diffusion mechanisms.
These models fit experimental data from similar GO/calcium alginate systems, where CPX adsorption reaches capacities around 6.8 mg g−1, though PVA addition enhances bead stability and surface functionality for better uptake, as reported in the literature.54
The pseudo-second-order (PSO) model often yields the highest R2 (>0.99) and qe matching experiments, outperforming the pseudo-first-order (PFO) model (lower qe, R2 ≈ 0.99) and confirming rate-limiting chemisorption. Intraparticle diffusion (IPD) plots exhibit two distinct linear stages: an initial rapid external diffusion phase (kid, high), followed by a slower intraparticle diffusion phase (kid lower, C > 0). These results indicate that while diffusion contributes to adsorption, it does not solely govern the process, as shown in Fig. 21 and Table 4. Surface interactions between the functional groups of graphene oxide (GO) and the ion-exchange properties of alginate also play significant roles.
| Linear pseudo-first-order kinetic model | qe (mg g−1) | 3.3753 |
| R2 | 0.9831 | |
| k1 (min−1) | −0.00018 | |
| Linear pseudo-second-order kinetic model | qe (mg g−1) | 4.38058 |
| R2 | 0.9939 | |
| k2 (g mg−1 min−1) | 0.007446 | |
| Linear intraparticle diffusion | kid (mg g−1 min−1/2) | 0.304 |
| R2 | 0.9508 | |
| C (mg g−1) | 0.251 | |
| Nonlinear pseudo-first-order kinetic model | qe (mg g−1) | 3.3675 |
| R2 | 0.9979 | |
| k1 (min−1) | 0.028 ± 0.001 | |
| Nonlinear pseudo-second-order kinetic model | qe (mg g−1) | 4.45827 |
| R2 | 0.9941 | |
| k2 (g mg−1 min−1) | 0.0069 | |
| Nonlinear intraparticle diffusion | kid (mg g−1 min−1/2) | 1.0366 |
| R2 | 0.9767 | |
| C (mg g−1) | 9.99 × 10−26 |
![]() | ||
| Fig. 21 Nonlinear pseudo-first-order kinetic model, pseudo-second-order kinetic model, and intraparticle diffusion kinetic model of the GO/PVA/CA composite beads. | ||
For CPX adsorption on GO/alginate beads, PVA crosslinks improve porosity, boosting the PSO fit and IPD multistages, with exothermic/spontaneous thermodynamics (negative ΔG° and ΔH°) favoring low-temperature operations.
All three kinetic models closely match the kinetic data, as shown by the R2 values. The adsorption process satisfies the pseudo-second order kinetics model. These findings indicate that the rate-determining process is most likely chemisorption, which involves the sharing or exchange of electrons between the adsorbent and adsorbate through valence forces.
Typically, ΔG is calculated using the equation:
ΔG = −RT ln Kc
| (19) |
Kc = RΔS − RTΔH is used to derive ΔH and ΔS from a van't Hoff plot.
![]() | (20) |
In adsorption thermodynamics, negative values of Gibbs free energy change (ΔG), enthalpy change (ΔH) and entropy change (ΔS) provide important insights into the adsorption process: a negative ΔG indicates that the adsorption process is spontaneous and thermodynamically favorable at the given temperature, as shown in Table 5 and Fig. 22. A negative ΔH signifies that the process is exothermic, which means that it releases heat during adsorption, and a negative ΔS suggests a decrease in randomness or disorder at the solid–adsorbate interface, indicating that molecules become more ordered when adsorbed.82
| Temperature (K) | ΔG° (kJ mol−1) | ΔH° (kJ mol−1) | ΔS° (J mol−1 K−1) | R2 |
|---|---|---|---|---|
| 303 | −13.74 | −66.9 | −177.4 | 0.9581 |
| 313 | −10.44 | |||
| 323 | −9.434 | |||
| 333 | −8.855 | |||
| 343 | −5.857 |
Therefore, when ΔG, ΔH, and ΔS are all negative, the adsorption is spontaneous and exothermic, with the adsorbate molecules becoming more structured on the adsorbent surface. This ordered arrangement results in entropy loss; however, the exothermic nature and spontaneity propel the process forward.83
| Adsorbent | Max. capacity (mg g−1) | Key driving factors | |
|---|---|---|---|
| GO/CA fibers (6% GO)22 | 39.06 | High porosity, GO sheets | |
| GO/Ca-Alg–PAM beads54 | 6.85 | Dense double-network | |
| GO/PVA/alginate DN hydrogel85 | Improved vs. control | Larger pores, functional groups | |
| GO/PVA/calcium alginate (Present work) | 10.14 | Structure, functional groups |
The synthesis process utilizes low-cost materials, including GO (approximately $50–200 per kilogram industrially), PVA ($2–5 per kilogram), sodium alginate ($5–10 per kilogram), and the CaCl2 cross-linker ($1 per kilogram). The total material cost per kilogram of beads is estimated to be $10–30. This process is scalable through simple drop-wise extrusion into a CaCl2 bath and does not require high-energy steps. This composite excels in cost-effectiveness for large-scale environmental applications like pharmaceutical wastewater treatment.84
Desorption uses mild acid/alkali (e.g., 0.1 M HCl or NaOH, <$0.5 per L), enabling 4–5 cycles with <25% capacity loss. The operational cost per cycle is $0.1–0.5 per kg wastewater treated (0.1 g beads per L), assuming a 100 L batch; the total lifecycle cost is <$1 per kg of CPX removed over 5 cycles. This composite excels in cost-effectiveness for large-scale environmental applications like pharmaceutical wastewater (CPX) treatment.63
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