Open Access Article
Md. Masum Billah
a,
S. M. Fazle Rabbi
a,
Md. Kamruzzaman
*a,
Mohammad Amirul Hoqueb,
Riyadh Hossen Bhuiyan
*b and
Israt Jahan Nisaa
aDepartment of Applied Chemistry and Chemical Engineering, Gopalganj Science and Technology University, Gopalganj, 8105, Dhaka, Bangladesh. E-mail: mkamruzzamandu81@gmail.com
bFiber and Polymer Research Division, BCSIR Dhaka Laboratories, Bangladesh Council of Scientific and Industrial Research, Bangladesh
First published on 16th March 2026
This research aims at introducing a new composite capable of removing both a textile dye [Congo red (CR)] and a toxic metal, [hexavalent chromium Cr(VI)], from wastewater using a single material. The composite was developed through a facile and eco-friendly approach utilizing microwave-exfoliated graphene (MG) with bio-derived aminated lignin (AL). Unlike most studies that investigate either dyes or heavy metals separately, this work demonstrates the dual functionality of MG–AL in targeting both classes of contaminants within one framework, while also providing kinetic, isotherm, and thermodynamic insights. The synergistic combination of MG and AL, not previously reported, enhanced adsorption selectivity, capacity, and stability by preventing graphene aggregation and improving pollutant affinity through amine functionalization. Comprehensive characterization using FTIR, SEM, TGA, and XRD confirmed successful functionalization, enhanced stability, and improved crystallinity. Under optimal conditions, the composite achieved remarkable maximum adsorption capacities of 121.3 mg g−1 for CR and 196.4 mg g−1 for Cr(VI), surpassing many reported biomass-based adsorbents. Adsorption followed pseudo-second-order kinetics and Langmuir isotherm, indicating chemisorption and monolayer coverage. Thermodynamic parameters confirmed that the adsorption process was spontaneous (ΔG0 = −9.09 kJ mol−1 for CR dye, and ΔG0 = −14.15 kJ mol−1) and endothermic (ΔH0 = 53.02 kJ mol−1 for CR dye, and ΔH0 = 49.08 kJ mol−1 for Cr(VI)). Notably, the composite retained significant removal efficiency after five regeneration cycles [80.89% for CR dye and 85.31% for Cr(VI)], outperforming many graphene or lignin-based adsorbents typically tested for fewer cycles. Mechanistic studies indicate that electrostatic attraction between protonated amine groups of AL and anionic pollutants (HCrO4−/Cr2O72− and dye sulfonate groups) plays the predominant role in adsorption, supplemented by π–π interactions with defect-rich graphene surfaces and hydrogen bonding between functional groups. This dual-function, reusable adsorbent advances lignin valorization and aligns with green chemistry principles, providing a scalable and versatile material for wastewater treatment.
Graphene, a two-dimensional sheet of sp2-hybridized carbon atoms arranged in a hexagonal lattice, exhibits exceptional properties including an ultra-high specific surface area, excellent chemical stability, superior electron mobility, and outstanding adsorption capacity. However, its practical application in water remediation is limited by low selectivity, a tendency to aggregate due to van der Waals forces, hydrophobic properties, and high production expenses.14 These challenges limit its efficiency and scalability in practical environmental applications. Lignin, a plentiful byproduct from the pulp and paper sector, has recently attracted interest as a sustainable and carbon-rich resource for creating advanced materials. Although lignin inherently contains aromatic rings and various functional groups that can interact with dye and metal molecules, its unmodified form often suffers from low adsorption performance due to limited surface area, inadequate porosity, and poor structural accessibility.15 To address these challenges, strategies involving chemical modification by introducing amine groups into lignin through amination improve electrostatic interactions with anionic dyes like CR, thereby synergistically increasing overall adsorption efficiency.16 However, its naturally low surface area and structural instability restrict its independent adsorption capacity. A composite of graphene and aminated lignin (MG–AL) is developed to overcome these challenges. This hybrid combines graphene's extensive surface area and π–π interaction capability with the selective, hydrophilic, and biodegradable properties of aminated lignin. The amine groups not only boost pollutant affinity but also stabilize graphene sheets in water, preventing aggregation.17,18 This synergistic approach improves adsorption efficiency, selectivity, and environmental compatibility, effectively overcoming the main limitations of the individual components and providing a viable, scalable solution for dye removal applications.19
In recent years, a wide range of biomass-derived adsorbents has been investigated for the efficient removal of CR dye and Cr(VI), and other synthetic dyes and heavy metals from aqueous solutions. For instance, Zourou et al. developed a graphene oxide- CuFe2O4 nanohybrid via solvothermal self-assembly, which exhibited an adsorption capacity ranging from 15.94 to 376.97 mg g−1 for CR (initial concentration: 20–50 mg L−1; contact time: 420 min). It has a lower capacity but offers easier separation.20 Similarly, Chu et al. fabricated lignin/graphene aerogels, further functionalized as LGA@PEI and LGA@PDA, which demonstrated impressive Cr(VI) adsorption capacities of 209.85 ± 3.25 mg g−1 and 240.39 ± 3.26 mg g−1, respectively, highlighting the potential of lignin-graphene aerogels for heavy metal remediation.21 Despite these advances, several challenges remain unresolved: (i) most studies address either dye removal or heavy-metal adsorption individually, while real industrial effluent typically contains both contaminants simultaneously; (ii) the synergistic integration of AL with MG has not been reported, leaving unexplored opportunities for combining lignin's functional groups with graphene's high surface area; (iii) many reports provide adsorption data but lack a comprehensive mechanistic framework that integrates kinetics, isotherms, thermodynamics, and regeneration; (iv) reusability is often restricted to two or three cycles, with sharp efficiency decline beyond that, limiting real-world applicability; (v) structural–performance correlations, such as how functionalization and morphology affect pollutant affinity, remain insufficiently studied; and (vi) very few studies benchmark their adsorbents against recent high-performance systems or assess sustainability and scalability for industrial treatment.
This study addresses these critical gaps by synthesizing MG–AL composite, where amine functional groups enhance electrostatic affinity toward CR dye and Cr(VI), while graphene improves dispersion, stability, and structural integrity of the lignin matrix (follow the graphical abstract shown in Fig. 1). The composite exhibits dual adsorption capability, achieving high capacities, surpassing many biomass and graphene-based adsorbents reported to data.22 Unlike most earlier works, adsorption performance is systematically explained through integrated kinetic, isotherm, and thermodynamic modeling, supported by mechanistic insights such as electrostatic attraction, π–π stacking, hydrogen bonding, and possible partial reduction of Cr(VI).23 Importantly, the material retains significant efficiency after five consecutive regeneration cycles, demonstrating superior reusability compared to conventional systems. By valorizing lignin an abundant agro-industrial byproduct into a high-value composite using an eco-friendly synthesis, this work not only advances the field of multifunctional bio-nanocomposites but also contributes a scalable, sustainable solution that aligns with green chemistry and circular bioeconomy principles, offering practical potential for wastewater treatment.
Therefore, the present study aims to develop a multifunctional and sustainable adsorbent by synthesizing the MG–AL composite and to systematically evaluate its ability to remove both CR dye and Cr(VI) from aqueous media. The work focuses on (i) synthesizing and characterizing the MG–AL hybrid to confirm structural and functional integration; (ii) evaluating its dual-adsorption performance under key operational parameters; (iii) elucidating adsorption mechanisms through kinetic, isotherm, thermodynamic, and reduction analyses; and (iv) assessing its regeneration stability over multiple cycles. These objectives collectively seek to demonstrate a scalable, high-efficiency, and reusable bio-nanocomposite that addresses the limitations of existing single-pollutant adsorbents and advances wastewater treatment.
:
2 weight ratio and subjected to ball milling for 2 hours at a rotational speed of 120 rpm to ensure uniform mixing. The resulting mixture was then preheated in a vacuum oven at 60 °C for 20 minutes. Subsequently, the pretreated material was exposed to microwave irradiation at 2450 MHz and 800 W for 120 seconds. During this process, the thermal decomposition of ammonium bicarbonate released gaseous byproducts (CO2, NH3, and H2O), generating high interlayer pressure that facilitated the rapid exfoliation of graphite into graphene. After exfoliation, the residual byproducts were removed through thermal annealing in a muffle furnace at 500 °C for 5 minutes.24
![]() | (1) |
![]() | (2) |
![]() | (3) |
Pseudo-first-order kinetic model
| ln(Qe − Qt) = ln Qe − k1t | (4) |
Pseudo-second-order kinetic model
![]() | (5) |
Intra-particle diffusion model
| Qt = kdifft1/2 + C | (6) |
Langmuir isotherm equation
![]() | (7) |
Freundlich isotherm equation
![]() | (8) |
Temkin isotherm equation
| Qe = B ln Kt + B ln Ce | (9) |
C stretching band at 1685 cm−1 that is characteristic of sp2 hybridized graphitic domains. Additional bands at 1415, 1045, and 755 cm−1 correspond to C–H bending, C–O stretching, and aromatic C–H deformation. In contrast, AL displays a broad O–H/N–H stretching band at 3345 cm−1, a strong carbonyl absorption at 1655 cm−1, and several distinct peaks at 1390, 1210, 1037, and 825 cm−1, attributed to C–N stretching, C–O vibrations, and aromatic skeletal modes, consistent with its aminated lignin framework. Upon composite formation, the MG–AL spectrum exhibits distinct shifts and alternations in peak intensities compared to those of its components, including strong intermolecular interactions. Specifically, the broad peak observed around 3200–3500 cm−1, attributed to O–H and N–H stretching vibrations in both MG and AL, becomes broader shifts in the MG–AL composite, suggesting hydrogen bond formation between AL hydroxyl/amine groups and graphene surface oxygen functionalities.6 The C
C/C
O region shows a downshift to 1625 cm−1, indicating conjugation/interaction between the graphene π-system and AL carbonyls (electronic coupling and possible π–π stacking or charge transfer).31 Likewise, strengthened absorptions at 1403 and 1318 cm−1 reflect C–N related vibrations and modified aromatic ring modes attributed to chemical/physical linkage of MG and AL.32 Additionally, the band at 1120 cm−1 (C–O–C/C–O stretching) and the aromatic deformation at 770 cm−1 further confirm retention of lignin structures within the composite.33 These spectral changes confirm the successful formation of the MG–AL composite through synergistic interactions, supporting the functionalization of graphene with bio-derived polymers.
The SEM micrographs and particle size distribution histograms clearly demonstrate the morphological evolution and size variation of MG, AL, and their composite MG–AL. As shown in Fig. 3(a and d), MG exhibits a sheet-like structure with wrinkled surfaces and sharp edges, typical of exfoliated graphene, with an average particle size centered around 67 nm.34 In contrast, Fig. 3(b and e) reveals that AL possesses a rough, irregular, and sponge-like morphology with abundant voids and cavities, confirming its highly porous nature. This porosity originates from the disruption of the native lignin structure upon amination, where the introduction of amine groups increases intermolecular spacing and generates a disordered framework. The porous structure enhances surface area and functional group accessibility, reflected in its broader particle size distribution centered around 115 nm.35 Upon composite formation, Fig. 3(c and f), MG–AL displays a more compact, interconnected, and heterogeneous structure where AL is uniformly anchored onto MG sheets, reducing agglomeration and promoting interfacial contact. The particle size distribution of MG–AL (93 nm average) lies between MG and AL, reflecting the synergistic integration of both components. This morphological tailoring and size modulation confirm the successful fabrication of the MG–AL hybrid, endowing it with improved dispersion stability and enhanced interfacial properties suitable for advanced adsorption and functional applications.36
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| Fig. 3 SEM image of (a) MG, (b) AL, and (c) MG–AL composite and histogram graph of (d) MG, (e) AL, and (f) MG-AL composite. | ||
MG demonstrates remarkable thermal stability, with minimal weight loss until temperatures exceed 600 °C, reflecting the robustness of graphene's carbon structure. The overall mass loss for MG up to 800 °C was around 26.25%, suggesting the presence of thermally stable carbonaceous structures.37 In contrast, AL showed a distinct multi-step degradation pattern. An initial weight reduction of 19.58% below roughly 200 °C is associated with moisture release and the loss of low-molecular-weight volatiles. The second and most significant decomposition phase occurred between 200 and 600 °C, with a 36.92% mass loss, attributed to the thermal breakdown of lignin's complex phenolic network, including the cleavage of ether linkages and aromatic rings and the decomposition of introduced amino functional groups. An additional 43.42% weight loss was noted beyond 800 °C, indicating the extensive degradation of the carbon backbone. The substantial total weight loss highlights AL's relatively poor thermal stability when isolated.38 The MG–AL composite displayed synergistic thermal behavior. An initial weight reduction of 5.82% occurred below 200 °C due to moisture desorption and light volatiles, which is significantly lower than that of pure AL, indicating improved water resistance. Between 200 and 600 °C, a 7.32% weight loss was observed, reflecting the partial decomposition of the lignin structure. This reduced loss compared to AL suggests that the incorporation of MG effectively stabilizes the composite, possibly through π–π stacking, hydrogen bonding, or electrostatic interactions between the MG sheets and aminated lignin chains. The total weight loss of the composite up to 800 °C is approximately 39.91%, which is much lower than that of AL and comparable to or slightly, if not higher than, that of MG, confirming the enhanced thermal stability.39
The DTG profiles (Fig. 4b) provide deeper insights into the degradation dynamics of these components. AL exhibits multiple sharp decomposition peaks, corresponding to the stepwise breakdown of its amorphous backbone, dehydration, and cleavage of oxygenated and amine-containing groups, reflecting its poor thermal stability. In contrast, MG shows a nearly flat baseline with only a slight mass-loss, characteristic of its graphitic nature and exceptional structural integrity. The MG–AL composite reveals broadened and suppressed degradation peaks compared to AL, indicating that the incorporation of MG sheets effectively stabilizes the AL matrix by restricting chain mobility and slowing thermal scission.
The typical XRD pattern for graphene is characterized by a distinct peak near 2θ = 26.5°, which corresponds to the (002) plane and reflects its layered graphitic structure.40 The crystallinity index of MG was calculated to be 60.61%, reflecting the partially ordered nature of the graphitic domains. In contrast, AL displays a broad, amorphous halo centered around 2θ = 20−25°, indicative of its highly disordered polymeric nature.41 The absence of long-range ordering in AL can be attributed to the presence of multiple functional groups and a disordered lignin backbone, which inhibit crystallite formation. Interestingly, the MG–AL composite displays a pronounced peak at 2θ = 26.7°, similar to MG, along with minor reflections at higher angles. This indicates that the crystalline framework of MG is preserved even after hybridization with AL.42 Moreover, the crystallinity index of the composite was enhanced to 67%, which is higher than that of MG. This increase suggests that the interaction between the MG layers and AL matrix restricts the random restacking of MG sheets, thereby improving the degree of structural ordering. The improved crystallinity also indicates the presence of strong interfacial bonding and electrostatic interactions between the oxygenated/aminated groups of AL and the MG sheets. Such interfacial interactions not only stabilize the composite structure but also enhance its thermal and chemical durability, which is advantageous for adsorption, electrochemical, and catalytic applications.
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| Fig. 6 Effect of initial concentration and contact time on adsorption capacity (Qt) of (a) CR dye, and (b) Cr(VI) on removal efficiency of (c) CR dye and (d) Cr(VI). | ||
The adsorption curve for the two types of pollutants reveals two particular stages. Fig. 6 shows, as the initial concentration increases, the adsorption capacity rises because more pollutant molecules are available to occupy the active sites. However, the removal percentage does not increase proportionally, since the fixed amount of adsorbent cannot capture all molecules at higher concentrations, resulting in a lower fraction of total pollutant removed. Initially, the adsorption capacity increases gradually as the contact time progresses, followed by a subsequent phase where the capacity stabilizes and remains nearly constant. This pattern is likely due to the diminishing availability of active adsorption sites, which become increasingly occupied by pollutant ions over time.43
Both CR dye and Cr(VI) show a rapid initial increase in adsorption capacity over time, eventually reaching a plateau that signifies equilibrium. Nonetheless, the time to reach equilibrium and the maximum capacities vary between these two pollutants. For CR dye (Fig. 6a), the adsorption capacity consistently increases with concentration, achieving approximately 121.3 mg g−1 at 100 ppm after about 80 minutes. In contrast, Cr(VI) (Fig. 6b) attains a much higher adsorption capacity of around 196.4 mg g−1 at the same concentration, with equilibrium being reached much more swiftly within 40 minutes, indicating stronger or more favorable interactions with the adsorbent surface.44 Regarding removal efficiency, both CR dye and Cr(VI) achieve 97.1% and 98.2% removal, respectively. However, CR dye exhibits a gradual increase in removal efficiency over time, especially at lower concentrations (e.g., 20 ppm reaches about 99.05% after 80 minutes).17 On the other hand, Cr(VI) demonstrates a more pronounced initial increase and rapid achievement of peak efficiency, although a slight decline is noted at higher concentrations after equilibrium, possibly due to desorption or competitive interactions. These differences might be due to the molecular structure, size, and charge of the adsorbates. Cr(VI), often present as chromate or dichromate ions, may have a higher affinity for functional groups on the adsorbent surface compared to the larger CR dye molecules, resulting in faster kinetics and greater adsorption capacity.45
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| Fig. 7 Effect of dose on equilibrium adsorption capacity (Qe) and removal percentage (a) CR dye, and (b) Cr(VI). | ||
There is a noticeable inverse correlation between Qe and the adsorbent dosage for both contaminants, whereas the removal efficiency consistently rises with increasing dosages. As shown in Fig. 7a, the Qe for CR dye significantly drops from 215.8 mg g−1 to 48.54 mg g−1 as the dosage rises from 0.02 g to 0.10 g. This decline in Qe is due to the excess of active sites compared to the constant number of dye molecules in the solution, leading to less efficient use per unit mass of the adsorbent. In addition, particle aggregation at higher dosages can reduce the effective surface area and hinder intraparticle diffusion, further decreasing the Qe values. Nevertheless, the removal efficiency steadily improves, reaching 97.09% at higher dosages, due to the greater availability of binding sites for capturing pollutants.21,46 A similar pattern is observed for Cr(VI) in Fig. 7b, where Qe decreases sharply from 885 mg g−1 at 0.01 g to 99.81 mg g−1 at 0.10 g. It is noteworthy that the initial Qe values for Cr(VI) are much higher than those for CR dye at all dosages, highlighting the stronger binding affinity and potentially more favorable electrostatic interactions of Cr(VI) species with the adsorbent. The removal efficiency also increases with increasing dosage, and around 88.5–99.81%, indicating effective sequestration of Cr(VI) even at moderate dosages.7 The comparative analysis shows that although both pollutants follow similar dose-dependent trends, Cr(VI) exhibits a significantly higher adsorption capacity, likely due to its smaller hydrated ionic radius, higher charge density, and stronger affinity for functional groups on the adsorbent surface.
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| Fig. 8 Effect of pH on removal efficiency of CR dye (red dots, black line), and Cr(VI) (green dots, blue line). | ||
The adsorption capacity (Qe) and removal percentage are highly dependent on pH, highlighting the importance of surface charge, pollutant speciation, and electrostatic interactions in the adsorption process. As depicted in Fig. 8, the adsorption of CR dye is particularly sensitive to pH, achieving optimal results at pH 4, where Qe reaches approximately 121.3 mg g−1 and removal efficiency surpasses 97.1%. This optimal adsorption performance under mildly acidic conditions is due to electrostatic attractions between the protonated amine groups (–NH3+) on the MG–AL surface and the anionic sulfonate groups (–SO3−) of CR, resulting in strong Coulombic interactions.47 Beyond pH 6, both Qe and removal percentage show a significant decline. At pH 8, removal efficiency falls to 80.04%, eventually reaching 51.77%, respectively, at pH 12. This reduction is mainly due to the deprotonation of amine groups on MG–AL at higher pH levels, which reduces the positive surface charge and causes electrostatic repulsion between the negatively charged adsorbent surface and anionic dye species. Additionally, competition from hydroxide ions for active sites may hinder dye adsorption.48
Conversely, the adsorption pattern of Cr(VI) (Fig. 8) peaks at pH 2, with Qe and removal efficiency reaching around 196.4 mg g−1 and 98.2%, respectively. This aligns with the known speciation of Cr(VI) in aqueous solutions, where CrO4−, Cr2O72−, and HCrO4− are the predominant species under highly acidic conditions. At low pH, the adsorbent surface is positively charged, facilitating strong electrostatic interactions with anionic Cr(VI) species. At pH 8, removal efficiency drops to 70.9%. As pH increases, adsorption performance gradually diminishes due to reduced electrostatic attraction and increased competition from OH− ions, which hinder Cr(VI) binding.49
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| Fig. 9 Effect of temperature on removal efficiency of CR dye (red dots, black line), and Cr(VI) (green dots, blue line). | ||
The adsorption capacity for CR dye gradually rises from approximately 121.3 mg g−1 at 303 K to about 123.12 mg g−1 at 313 K. Similarly, the removal efficiency slightly improves from 97.1% to 98.5% within the same temperature range. The enhanced adsorption performance at higher temperatures can be attributed to the increased kinetic energy of dye molecules, which promotes faster diffusion from the bulk solution to the adsorbent surface. In addition, elevated temperatures reduce the viscosity of the solution and enhance the accessibility of active sites, facilitating stronger interactions between the dye molecules and the adsorbent surface.46
A similar trend was observed for Cr(VI) adsorption (Fig. 9), where Qe increased from around 196.4 mg g−1 at 303 K to 198.2 mg g−1 at 313 K, and the removal efficiency rose from 98.2% to 99.1%. The slight improvement with temperature suggests that higher thermal energy enhances ion mobility and promotes more effective electrostatic interaction and surface binding between Cr(VI) ions and the functional groups of the adsorbent.50 Thus, increasing temperature favors faster mass transfer and better utilization of the active sites, resulting in improved overall removal efficiency for both contaminants.
| ΔG0 = ΔH0 − TΔS0 | (10) |
![]() | (11) |
The values of ΔG0, ΔH0, and ΔS0 were calculated as shown in Table 1.
| ΔS0 (kJ mol−1) | ΔH0 (kJ mol−1) | −ΔG0 (kJ mol−1) | |||
|---|---|---|---|---|---|
| 303 | 308 | 313 | |||
| Congo red | 0.205 | 53.02 | 9.09 | 10.12 | 11.14 |
| Cr(VI) | 0.208 | 49.08 | 14.15 | 15.19 | 16.24 |
The positive enthalpy change values (ΔH0 = 53.02 kJ mol−1 for CR dye and 49.09 kJ mol−1 for Cr(VI)) indicate that both processes are endothermic, meaning that higher temperatures enhance the adsorption of these pollutants.51,52 The positive entropy changes (ΔS0 = 0.205 and 0.208 kJ mol−1 K−1 for CR dye and Cr(VI), respectively) imply an increase in disorder at the solid–liquid interface during adsorption, likely due to structural rearrangement and desolvation effects.50 Additionally, the Gibbs free energy changes (ΔG0) for both systems were negative over the temperature range examined (−9.10 to −11.15 kJ mol−1 for CR dye and −14.16 to −16.24 kJ mol−1 for Cr(VI)), signifying that the adsorption processes are spontaneous and thermodynamically favorable.53 Importantly, Cr(VI) showed more negative ΔG0 values and a greater adsorption capacity than CR dye, indicating a stronger driving force and affinity for the adsorbent, possibly due to its smaller ionic size and stronger electrostatic interactions.
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| Fig. 11 Kinetic model for Congo Red dye and Cr(VI) adsorption by MG–AL composite (a) Pseudo 1st order (b) Pseudo 2nd order and (c) intra-particular diffusion model. | ||
| Kinetics | CR dye | Cr(VI) | |
|---|---|---|---|
| Pseudo 1st order | Qe (mg g−1) | 14.93 | 13.14 |
| K1 (min−1) | 0.00015 | 0.00026 | |
| R2 | 0.19 | 0.28 | |
| Qexp (mg g−1) | 121.3 | 196.4 | |
| Error (%) | 87.69% | 93.3% | |
| Pseudo 2nd order | Qe (mg g−1) | 123.45 | 196.07 |
| K2 (g mg−1.min) | 0.0016 | 0.0041 | |
| R2 | 0.99 | 0.99 | |
| Error (%) | 1.77% | 0.16% | |
| Intra-particle diffusion | Kdiff | 3.21 | 53.1 |
| C | 85.43 | 172.17 | |
| R2 | 0.71 | 0.53 |
The pseudo-first-order kinetic model (Fig. 11a) exhibited poor conformity with the experimental data, as evidenced by low correlation coefficients (R2 = 0.19 for CR and 0.28 for Cr(VI)) and large discrepancies between calculated and experimental adsorption capacities, resulting in errors exceeding 87%. This indicates that the adsorption rate could not be adequately described by a physisorption-controlled mechanism.39,54
In contrast, the pseudo-second-order kinetic model (Fig. 11b) provided an excellent fit to the experimental data, yielding correlation coefficients of 0.99 for both adsorbates and negligible errors (1.77% for CR and 0.16% for Cr(VI)). Moreover, the calculated equilibrium capacities (Qe, cal = 123.45 mg g−1 for CR and 196.07 for Cr(VI)) were in close agreement with the experimental values (Qe exp = 121.3 and 196.4 mg g−1, respectively). These observations strongly suggest that the adsorption rate is governed by chemisorptive interactions, where electron exchange or sharing occurs between the functional groups of the adsorbent and the adsorbate species.55,56
Additional insights into the adsorption mechanism were gained from the intraparticle diffusion model (Fig. 11c). The multilinear plot indicates that while intraparticle diffusion plays a role, it is not the only rate-controlling step.7,57 The considerable intercept values (C = 85.43 and 172.17 mg g−1) further indicate the presence of a pronounced boundary-layer effect, implying that film diffusion dominates during the initial adsorption stage, followed by gradual pore diffusion as equilibrium is approached.
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| Fig. 12 Adsorption Isotherm of CR dye and Cr(VI) from aqueous solution by MG–AL composite, (a) Langmuir isotherm, (b) Freundlich isotherm, and (c) Temkin isotherm. | ||
| Isotherm | CR dye | Cr(VI) | |
|---|---|---|---|
| Langmuir | Qexp (mg g−1) | 121.3 | 196.4 |
| Qm (mg g−1) | 149.25 | 238.09 | |
| KL (L mg−1) | 3.80 | 2.1 | |
| R2 | 0.96 | 0.99 | |
| Error (%) | 18.72% | 17.51% | |
| Freundlich | n | 1.34 | 2.59 |
| KF (mg g−1) | 5.009 | 8.35 | |
| R2 | 0.90 | 0.86 | |
| Temkin | Bt (J mol−1) | 34.71 | 43.69 |
| Kt (L mg−1) | 2.29 | 3.43 | |
| R2 | 0.96 | 0.95 |
Among these, the Langmuir model provided the best correlation with the experimental data, exhibiting high regression coefficients (R2 = 0.96 for CR and 0.99 for Cr(VI)) and low relative errors (18.72% and 17.51%, respectively). The close agreement between the experimental (Qe,exp = 121.3 and 196.4 mg g−1) and theoretical maximum adsorption capacities (Qm = 149.25 and 238.09 mg g) confirms the applicability of the Langmuir model, indicating that the adsorption process proceeds through monolayer coverage on a homogeneous surface with energetically uniform active sites.44,56 In contrast, the Freundlich model showed slightly lower correlation coefficients (R2 = 0.90 for CR and 0.86 for Cr(VI)), suggesting a less significant contribution from multilayer adsorption. However, the values of the Freundlich constant (n = 1.34 for CR and 2.59 for Cr(VI)) being greater than 1 indicate a favorable adsorption process and strong affinity of the adsorbent surface toward both contaminants.43,53 The Temkin isotherm also exhibited a good linear fit (R2 = 0.96 for CR and 0.95 for Cr(VI)), with the Temkin constant (Bt = 34.71 and 43.69 J mol−1) reflecting moderate interactions between the adsorbent and adsorbate. This suggests that a uniform distribution of the heat of adsorption across the MG–AL composite surface and adsorption energy decreases gradually with surface coverage, aligning with the chemisorptive nature of the process inferred from kinetic analysis.58,59
| Adsorbent | Adsorbate | Adsorption capacity (mg g−1) | Reference |
|---|---|---|---|
| EL-PEI@Fe3O4–Mg | CR dye | 74.7 | 68 |
| Coal graphene | CR dye | 129 | 69 |
| GO-CuFe2O4 | CR dye | 37.97 | 70 |
| Chitosan-GO | CR dye | 10.245 | 71 |
| GO/MgO NCs | CR dye | 13.62 | 72 |
| L-cysteine/rGO/PANI nanocomposite | CR dye | 56.57 | 73 |
| GO-M1, GO-M2 and GO-M3 | Cr(VI) | 3.5412, 2.3631, and 7.0358 | 74 |
| α-FeO(OH)/GOCS | Cr(VI) | 63.19 | 75 |
| GO and rGO-ZnO nanocomposite | Cr(VI) | 19.49 and 25.45 | 76 |
| G, AC and GAC | Cr(VI) | 6.627, 5.455, and 6.354 | 77 |
| Chitosan quinoxaline schiff base | Cr(VI) | 103.09 | 78 |
| MG–AL composite | CR dye | 121.3 | Present work |
| Cr(VI) | 196.4 |
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