Open Access Article
Do Tra Huonga,
Nguyen Ngoc Phuong Ngana,
Duong Thi Tu Anha,
Nguyen Dinh Vinhb and
Vuong Truong Xuan
*b
aFaculty of Chemistry, Thai Nguyen University of Education, 20 Luong Ngoc Quyen Street, Thai Nguyen City 24000, Vietnam
bFaculty of Natural Sciences and Technology, TNU-University of Science, Tan Thinh Ward, Thai Nguyen City 24000, Vietnam. E-mail: xuanvt@tnus.edu.vn
First published on 17th September 2025
Dye contamination in wastewater represents a significant environmental challenge because of the toxic nature and poor biodegradability of these compounds. Developing cost-effective, environmentally friendly adsorbent materials derived from agricultural waste is essential for enhancing wastewater treatment efficiency at a reasonable cost. This study investigated the adsorption capability of methylene blue (MB) from aqueous solutions using activated carbon synthesized from durian shells and seeds (BDSS). The adsorbent was prepared via pyrolysis at 500 °C combined with a subsequent hydrothermal treatment. Adsorption experiments were conducted to evaluate key influencing factors and adsorption characteristics. The results revealed that BDSS exhibited a high specific surface area (441.71 m2 g−1), a porous structure, an iodine number of 589 mg g−1, and a point of zero charge (pHpzc) of 6.47. The adsorption of MB onto BDSS followed the Langmuir isotherm model, achieving a maximum adsorption capacity of 136.99 mg g−1. The process adhered to pseudo-second-order kinetics and was identified as a spontaneous and endothermic reaction. Adsorption was observed to occur on both homogeneous and heterogeneous surface sites through a combination of physical and chemical mechanisms, including electrostatic interactions, hydrogen bonding, π–π interactions, electron donor–acceptor interactions, and pore filling. In addition, an artificial neural network (ANN) model was well established to predict BDSS adsorption performance under varying conditions. The optimal ANN with five input variables, one hidden layer of 11 neurons, and one output neuron showed excellent predictive accuracy (R > 0.99). Initial MB concentration had the most pronounced effect, followed by temperature, adsorbent dosage, contact time, and pH. The method is beneficial for process optimization and engineering applications. Furthermore, BDSS maintained 53.74% of its adsorption capacity after three reuse cycles, demonstrating good reusability. Overall, the findings suggest that BDSS-derived activated carbon is a promising, eco-friendly adsorbent with potential applications in the treatment of dye-contaminated wastewater.
According to the Food and Agriculture Organization (FAO), global commercial production of durian was over 930
000 tons in 2021, ten times what it was in the early 2000s. Thailand, Malaysia, and Indonesia alone produce approximately 866
000 tons of durian waste annually in Southeast Asia,10 and the global production is even higher, contributing significantly to environmental pollution. In Vietnam, durian production was around 642
000 tons in 2022 and generated approximately 449
400 tons of shell and seed waste.11 If it is not well managed, the tremendous volume of organic waste can cause significant environmental issues.12
The utilization of durian waste for the production of adsorbents not only addresses the problem of agricultural waste pollution but also contributes to the creation of sustainable solutions in wastewater treatment. Current research has been successful in exploring the conversion of biomass and agricultural waste, durian shells included, into green adsorbents. For example, Cai et al. (2022)2 prepared a composite material consisting of durian shell biochar fibers and Fe3O4 loaded in a metal–organic framework (MOF) structure, which exhibited excellent dye adsorption capacity and high reusability. All the above results reveal the huge potential of agricultural waste valorization for sustainable and economic dye removal.
In the last few years, numerous studies have focused on the synthesis and application of adsorbent materials for the efficient removal of pollutants from aquatic systems. Activated carbon, natural and modified biochars, metal–organic frameworks (MOFs), and natural or surface-modified clays with high adsorption capacities are the most studied materials.13–15 Among these, activated carbon is particularly valued because of its low cost, extensive sources of raw materials, ease of preparation, and high regenerability.16,17 The adsorption capacity of activated carbon is primarily governed by its pore structure, specific surface area, and presence of active surface functional groups.
One of the emerging research fields is the production of activated carbon from renewable raw materials agricultural wastes, such as durian shells, which are abundant, carbon-rich, and environmental-friendly materials. As advocated by Jamnongkan et al.,18 the typical synthesis of activated carbon from durian shells involves two general steps: (1) pyrolysis of raw biomass under oxygen-limited conditions to produce biochar, and (2) chemical activation of the produced biochar, followed by pyrolysis, to produce an ordered porous activated carbon. With high temperature in the initial stage of pyrolysis, hydrogen and oxygen elements of cellulose are favored to decompose into gases, and the resulting product is enriched with carbon. In the second activation process, biochar is mixed with activating agents such as acids (H2SO4, H3PO4), bases (KOH), or salts and again subjected to heat treatment. Acids donate protons (H+), whereas bases donate hydroxyl groups (OH−), which alter surface properties and facilitate pore development in the activated carbon.19–23 Contact between the activating agents and the carbon matrix produces adsorbents with large surface areas, well-developed pore structure, and strong binding energies for contaminants.
In addition to chemical activation, hydrothermal carbonization (HTC) has also been widely applied for processing biomass into porous carbon materials with high adsorption potential. HTC facilitates the formation of microporous structures, preserves aromatic ring stability, and improves the interaction between the adsorbent and pollutants in aqueous systems.24,25 Consequently, the combined use of pyrolysis and hydrothermal methods to produce biochar from agricultural waste, such as durian shells, is regarded as a promising approach for creating eco-friendly, high-performance adsorbents.
However, to the best of our knowledge, while numerous studies have reported the preparation of activated carbon and biochar from either durian shells or seeds, very few have explored the combined use of both shells and seeds in adsorbent synthesis. Moreover, no study has yet employed a sequential pyrolysis followed by hydrothermal treatment using a mixture of durian shells and seeds specifically for methylene blue adsorption. Existing research has also not provided a comprehensive evaluation of key aspects such as the physical properties, iodine number, adsorption kinetics, activation energy, thermodynamics, and adsorption mechanisms of MB on carbon materials derived from this combined biomass source. Notably, the application of the Halsey isotherm model, which effectively describes adsorption on heterogeneous surfaces, has not been thoroughly investigated in this context.
In parallel with materials development, recent advances in machine-learning architectures highlight how domain-aware feature extraction and multiscale representation can substantially improve predictive performance on irregular, high-dimensional data. For example, graph-based deep networks equipped with edge-convolution layers and multiscale neighborhoods have achieved accurate segmentation of complex, non-Euclidean point-cloud surfaces; incorporating normal-vector features further enhances sensitivity to subtle geometric patterns, albeit with higher computational load.26,27 These studies, while developed for human–machine interaction and rehabilitation tasks, underscore generalizable strategies, robust feature learning, density-aware training, and careful accuracy–complexity trade-offs that we also leverage in our ANN analysis for adsorption modeling. Building on these insights, our ANN is configured to capture nonlinear structure–property relationships in MB uptake while remaining computationally efficient for practical use.26,27
The present study aims to synthesize activated carbon from a combined mixture of durian shells and seeds, a novel and underexplored approach, using a two-stage process involving pyrolysis and hydrothermal treatment to optimize pore structure and adsorption properties. To date, no published study has simultaneously utilized both durian shells and seeds in this combined method for methylene blue removal. The specific objectives of this study are to: (i) synthesize and characterize activated carbon derived from durian shells and seeds, with a focus on determining physical properties such as specific surface area, pore structure, iodine index, and surface functional groups. (ii) Evaluate the adsorption efficiency of methylene blue under various experimental conditions. (iii) Analyze the adsorption behavior using isotherm models (Langmuir, Freundlich, Temkin, Elovich, Redlich-Peterson, and Halsey), kinetic models (pseudo-first-order, pseudo-second-order, Elovich, the particle diffusion kinetic model), and thermodynamic parameters (ΔG°, ΔH°, ΔS°) to elucidate the adsorption mechanisms involved.
:
1 (shells to seeds), then cut into small pieces and ground to a particle size of less than 4 mm. The mixture samples were carbonized in a muffle furnace at 400, 500, and 600 °C for 3 h, with a heating rate of 5 °C min−1. The carbonization was carried out in covered ceramic crucibles to minimize oxygen intrusion, thereby ensuring an oxygen-limited environment favorable for biochar formation. After pyrolysis, the resulting material was cooled, transferred into an autoclave containing distilled water, sealed, and subjected to hydrothermal treatment at 200 °C for 6 h. The hydrothermal process was conducted under self-generated pressure conditions, ranging from approximately 1.5 to 2.0 MPa. The final product was filtered, oven-dried at 60–80 °C until a constant weight was achieved, ground into fine powder, and stored in a desiccator.
The biochar samples produced from durian shells and seeds at pyrolysis temperatures of 400 °C, 500 °C, and 600 °C were labeled as BDSS4, BDSS45, and BDSS6, respectively. All samples were stored in sealed containers and kept in a desiccator. An amount of 0.05 g of each material, BDSS4, BDSS5, and BDSS6, was added to separate Erlenmeyer flasks containing 20 mL of MB solution with an accurately determined initial concentration of 50 mg L−1 at pH 7. The mixtures were then shaken using a mechanical shaker at 300 rpm for 60 minutes under ambient temperature conditions (25 ± 1 °C). After the adsorption process, the solutions were centrifuged at 4000 rpm for 15 minutes. The supernatant was collected using a micropipette to determine the residual concentration of MB.
The calculated adsorption efficiencies of MB onto BDSS4, BDSS5, and BDSS6 were 80.40%, 91.15%, and 85.06%, respectively (Fig. S1, see SI). The results indicate that BDSS5 exhibited the highest adsorption efficiency for MB (91.15%). This can be explained by the fact that during the calcination of the durian shell and seed materials at 600 °C, partial decomposition may have occurred, forming ash and reducing the carbon content, which in turn decreased the adsorption efficiency. Therefore, BDSS5 was selected as the material for further adsorption studies of MB in aqueous solutions. From this point on, this material is denoted as BDSS.
The concentration of methylene blue (MB) was analyzed and determined using the UV-Vis molecular absorption spectrophotometry method on a UH5300 spectrophotometer (Hitachi, Japan). The adsorption efficiency of MB by BDSS was calculated using the following equation:
![]() | (1) |
A total of 0.05 g of BDSS was added to 100 mL Erlenmeyer flasks containing 20 mL of MB solutions at accurately prepared concentrations of 50 mg L−1, 75 mg L−1, and 100 mg L−1. All solutions were adjusted and maintained at pH 7. The adsorption experiments were conducted by shaking at 300 rpm for varying contact times: 30, 60, 90, 120, 150, 180, and 210 minutes at room temperature (25 ± 1 °C). At each designated time interval, samples were withdrawn and centrifuged at 4000 rpm. The supernatants were carefully collected using a micropipette, and the residual MB concentrations were measured to assess adsorption performance over time.
![]() | (2) |
![]() | (3) |
All modeling and computations involved in these equations are the experimental observed value yexp,i, predicted value yprd,i, mean of observed values yexp,m, mean of predicted values yprd,m and number of samples N. All analysis and modeling were conducted using MATLAB R2018a and its Neural Network Toolbox.
qe = ln
KF + (1/n) ln
Ce, where n (typically > 1) is the adsorption intensity and KF is the Freundlich constant. The Temkin model, expressed as qe = B
ln
KT + B
ln
Ce considers indirect adsorbate–adsorbent interactions, and B is the Temkin constant, whereas KT is the binding constant. The Elovich equation, ln(qe/Ce) = ln
KE qm − qe, is used to describe chemisorption on extremely heterogeneous surfaces, with KE being the Elovich constant and qm the maximum adsorption capacity. The Redlich–Peterson model, with contributions of Langmuir and the Freundlich models, is given as ln (Ce/qe) = β
ln
Ce − ln
A, with A and β being empirical constants. Finally, the Halsey model, expressed as qe = (1/nH) In(KH − 1/nH) ln
Ce, is suitable for multilayer adsorption on a heterogeneous surface, where nH and KH are model constants. Ce is the MB solution equilibrium concentration in all models.| ln(qe − qt) = ln(qe) − k1t | (4) |
![]() | (5) |
| qt = Kdif t0.5 + Ci | (6) |
| ln(1 − F) = −Kfd.t | (7) |
ΔG° = −RT ln KD
| (8) |
![]() | (9) |
![]() | (10) |
![]() | (11) |
Subsequently, the activation energy (E) is computed using the equation:
E = RT × (ln h − ln k)
| (12) |
This phenomenon can be explained by the material evolution during the pyrolysis stage, where the decomposition of hemicellulose and cellulose led to the formation of a rigid carbon framework with an initially heterogeneous network. Simultaneously, the release of gases such as CO2 and H2O during pyrolysis contributed to the initial pore formation within the structure.
During the hydrothermal treatment under elevated pressure and increased water temperature, the carbon structure undergoes expansion and exfoliation, creating internal pores without collapsing the overall framework. Simultaneously, incompletely carbonized substances remaining from the pyrolysis stage continue to hydrolyze and dissolve during the hydrothermal process, further contributing to the enhanced porosity of BDSS.
As illustrated in Fig. 1c, the surface of BDSS after adsorption becomes noticeably smoother. Many of the pores, cavities, and surface grooves are partially or fully filled. The material also shows thicker and broader fragments, and the structure appears more agglomerated compared to the initial adsorbent. These morphological changes provide clear evidence that methylene blue has been successfully adsorbed onto the BDSS surface.
Comparatively, the carbon content of BDSS is significantly higher than that of the original DSS material (53.88% by weight), while the oxygen content in BDSS is substantially lower than that in DSS (44.53% by weight), as shown in Fig. 2a and b.
This shift in elemental composition can be attributed to the pyrolysis and hydrothermal treatment processes, during which a portion of oxygen was removed in the form of gaseous by-products, and non-carbonaceous compounds were decomposed. As a result, the carbon content increased while the oxygen content decreased in the final material. These EDS findings suggest that BDSS, with its carbon-rich composition and reduced oxygen functionality, holds considerable potential as an efficient adsorbent for removing pollutants from aqueous environments.
| Wavenumber (cm−1) | Functional groups | Assignment |
|---|---|---|
| 3620 | –OH (hydroxyl) | Stretching vibration of free hydroxyl groups, possibly from surface hydroxyls on the carbon structure |
| 1702 | C O (carbonyl) |
Stretching vibration of carbonyl groups from carboxylic acids, esters, ketones etc. |
| 1577 | C C (aromatic ring or double bond) |
Stretching vibration of aromatic rings or C C double bonds |
| 1383 | Methyl (–CH3) | Symmetrical bending vibration or the symmetric stretching of carboxylate groups (–COO−) |
| 1266 | C–O (ester, ether, alcohol, phenol) | Stretching vibration |
| 870 | C–H | Out-of-plane bending vibration in the aromatic ring |
| <800 | Oxides or salts of K, Mg, Ca, P, Si |
Before adsorption, the FTIR spectrum of DBSS exhibited some characteristic absorption bands. Specifically, a sharp peak at almost 3620 cm−1 may be termed stretching vibrations of free hydroxyl groups (–OH) or physically adsorbed water on the material surface. The band at 1383 cm−1 may be most likely associated with C–H group bending vibrations or the symmetric stretching of carboxylate groups (–COO−). Also apparent was a series of weaker absorption bands at other wavenumbers that were indicative of the intrinsic characteristics of the original DBSS material.
After MB adsorption, FTIR of DBSS revealed the appearance of a new sharp peak at ca. 1577 cm−1, which is generally assigned to C
C bond stretching modes of the aromatic rings of the methylene blue molecule. The occurrence of the peak unambiguously proves that MB molecules were, indeed, adsorbed on the surface of the material. Simultaneously, there was a minimal decrease in the intensity of the hydroxyl (–OH) band at 3620 cm−1, which shows hydroxyl groups can be engaged in the adsorption process via hydrogen bonding or electrostatic interactions with MB.
The comparative examination of FTIR spectra prior to and following adsorption showed minor wavenumber shifts and changes in the intensity of some peaks, suggesting that surface functional groups of the DBSS material participated in the adsorption process. These observations suggest that the adsorption process of MB onto DBSS may be a synergy of physical adsorption (based on hydrogen bonding and van der Waals forces) and chemical adsorption (through specific interaction between active functional groups on the material surface and the functional groups of MB).
The combined evidence from both the SEM images (Fig. 1c) and the FT-IR spectra (Fig. 3) confirms the successful adsorption of methylene blue onto BDSS. In addition, the FT-IR and EDS analyses consistently demonstrate that carbon and oxygen are the primary elemental components of the BDSS material.
The broad diffraction peak at 2θ = 23.98° corresponds to the (002) plane of hexagonal carbon structures, as referenced by JCPDS card no. 50-0926. The weaker peak at 2θ = 36.63° is attributed to the (105) plane of crystalline graphite (JCPDS card no. 721-616). Additionally, the peak observed at 2θ = 44.38° is assigned to the 10 plane, which represents an overlap of the (100) and (101) planes, commonly associated with micro-graphitic layers that lack an ordered stacking arrangement.31
These findings collectively indicate that the BDSS material primarily exhibits amorphous carbon characteristics with some degree of graphitization resulting from the combined pyrolysis and hydrothermal processes.
The D-band is typically linked to the vibrational modes of carbon atoms within disordered or defect-rich regions, commonly observed in amorphous graphite-like carbon. In contrast, the G-band is associated with the in-plane stretching vibrations of sp2-hybridized carbon atoms, indicative of more ordered graphitic domains. The 2D-band (also referred to as the G′ band) provides insight into the degree of crystallinity and stacking order within the carbon material. In this study, the 2D-band appears as a weak, broad feature, suggesting a low-intensity signal and a relatively limited degree of graphitic layer stacking.33
According to Wang et al. (2019),34 the intensity ratio of the D and G bands (ID/IG) served as a reliable indicator of the degree of graphitization in carbonaceous materials. As illustrated in Fig. 5, the calculated ID/IG ratio was 0.89, which suggested that the BDSS material possessed a moderately high degree of graphitization.
The adsorption behavior observed in the relative pressure range (P/P0) of 0.40 to 0.90 indicates the dominance of mesopores within the BDSS structure. Additionally, the sharp increase in adsorption at P/P0 values greater than 0.90 corresponds to the presence of macropores or larger pore channels. These features collectively suggest that the BDSS material predominantly possesses a mesoporous architecture.
BET surface area analysis revealed that the specific surface area of BDSS is 441.71 m2 g−1, with a pore volume of 0.0735 cm3 g−1 and an average pore diameter of approximately 4.88 nm. These findings indicate that BDSS exhibits considerable porosity and surface area, supporting its potential as an effective adsorbent for pollutant removal from aqueous environments.
| Physical properties | BDSS |
|---|---|
| Ash content (%) | 6.42 ± 0.05 |
| Moisture content (%) | 4.94 ± 0.05 |
| Bulk density (g cm−3) | 0.81 ± 0.04 |
| Iodine number (mg kg−1) | 589 ± 1 |
The iodine number, which represents the adsorption capacity of porous materials, particularly activated carbon and highly microporous adsorbents, is a critical parameter for evaluating adsorbent performance. The iodine number of BDSS was measured to be 589 mg g−1. This value falls within the practical range for adsorbents used in environmental applications (500–1200 mg g−1), confirming that BDSS possesses a well-developed porous structure and exhibits good adsorption potential (Table 2).
Moreover, FT-IR spectral analysis confirmed that BDSS was abundant with hydroxyl (–OH), carboxylate (–COO−), and carbonyl (C
O) functional groups. These functional groups were susceptible to protonation and deprotonation depending on the pH of the solution. In addition, the porous structure and high surface activity of BDSS assist in maintaining a high adsorption affinity towards MB. It is also likely that the strong hydrophobic interactions between MB and BDSS are the major contributors, which is a common mechanism of the physical adsorption of organic molecules on the surface of the adsorbent.36
Besides, MB adsorption by BDSS is regulated by over one mechanism, not merely electrostatic forces, but also π–π stacking interaction between the conjugated C
C and N
C bonds of the aromatic rings of the MB molecules.37 Based on the data presented in Fig. 2, and 14 and the point of zero charge (pHpzc) of BDSS, calculated to be 6.47 (Fig. 7), pH 7 was used as the optimal condition for MB adsorption onto BDSS.
This finding is consistent with that of Nurul Syuhada Sulaiman et al.,38 who had analyzed the adsorption of MB onto biochar derived from cassava stems. In their study, the adsorption efficiency remained high (93.57% to 99.82%) across the pH range of 3–10. Similarly, Jinlong Wang et al.39 observed that MB adsorption onto coal-based activated carbon reached a maximum efficiency of 96.4% at pH 6 and remained stable at higher pH values. The results also align with those of Buddhabhushan Salunkhe,40 who investigated the adsorption of MB onto a superabsorbent hydrogel based on sodium styrene sulfonate (NaSS) monomer. In that study, MB adsorption efficiency was consistently around 99% at various pH levels, except at pH 1, where the efficiency decreased to 87%.
The experimental procedure for evaluating the effect of contact time on the adsorption capacity of the studied material for MB was carried out as described in Section 2.4.2. The time-dependent adsorption results are presented in Fig. 9 and S3 (see SI). The results presented in Fig. 9 and S3 indicate that during the initial 60 minutes, the adsorption process occurred rapidly. This can be explained by the fact that, in this period, MB molecules begin to leave the solution phase, diffuse toward the solid–liquid interface, and bind to the active sites available on the external surface of the adsorbent. The rapid adsorption observed in this stage is primarily due to the abundance of accessible active sites for binding.41 In the contact time range from 60 to 210 minutes, the adsorption process proceeded at a much slower rate, and the adsorption efficiency remained nearly constant, indicating that equilibrium had been reached. This phenomenon can be attributed to the gradual reduction in the number of available active sites. As these sites became increasingly occupied by previously adsorbed MB molecules, it became more difficult for additional MB molecules to access and bind to the remaining sites due to steric hindrance.42 Therefore, a contact time of 60 minutes was selected as the optimal adsorption time for MB onto BDSS.
However, when the adsorbent dosage was increased from 0.05 g to 0.125 g, the improvement in adsorption efficiency was marginal, rising only from 90.09% to 95.73%. Based on this observation, an optimal adsorbent dosage of 0.05 g per 20 mL solution, equivalent to 25 g L−1, was selected for subsequent experiments. The enhancement in MB removal with increasing BDSS dosage can be attributed to the greater availability of active binding sites on the adsorbent surface, which facilitates the adsorption process.43
The results presented in Fig. 11 and S5 show that the adsorption efficiency increased with rising temperature, indicating that the adsorption process is endothermic in nature.44 This suggests that the adsorption of MB onto BDSS is governed by relatively strong physical interactions, such as hydrogen bonding, along with chemical interactions. On the heterogeneous surface of BDSS, some adsorption sites possess higher activation energies and become more effective at elevated temperatures.
As shown in Fig. 11, when the temperature increased from 313 K to 323 K, the improvement in adsorption efficiency was not substantial. This may be attributed to the increased solubility of MB at higher temperatures, which enhances the interaction between MB molecules and the solvent (H2O).45 Consequently, MB molecules become more stabilized in the solution phase, making them less prone to adsorption, despite the increased collision frequency at higher temperatures.46
These findings are consistent with previous studies, including the adsorption of MB onto H2SO4 (0.1 M)-activated biochar derived from durian shells,11 nitrogen-rich carbon materials synthesized by co-polymerizing sucrose and urea and subsequently activated with KOH and H3PO4,47 as well as KOH-modified biochar prepared from ball-milled bamboo powder pyrolyzed at various temperatures.48
![]() | ||
| Fig. 13 Mean squared error (MSE) of ANN models as a function of the number of neurons in the hidden layer, from 5 to 20. | ||
Fig. 14 shows with residual plots of the 11 (A), 14 (B), and 18 (C) hidden-layer-neuron ANN models, providing additional diagnostic information to select the number of neurons. Each plot shows the scatter plot of residuals, i.e., calculated minus experimental values, against the model's predicted output. Residuals should ideally be randomly distributed around zero with no systematic trend, indicating the model to be a good fit to the data's underlying structure without bias. As shown, the 11-neuron model (A) has a more compact and even distribution of residuals around zero, suggesting better homoscedasticity as well as less systematic bias. Residuals in the 14 (B) and 18 (C) neuron models (Fig. 14) display wider spreading and more outliers, suggesting reduced predictive accuracy and possible overfitting. Although k-fold cross-validation was not employed, the model was trained using a 70-15-15 split of training, validation, and test sets, and overfitting was mitigated by monitoring validation error during training. Moreover, the coefficient of determination (R2) was used to validate the selection of the neuron numbers. R2 values were calculated using the following equation:
![]() | (13) |
![]() | ||
| Fig. 14 Residual plots for ANN models with (A) 11 neurons, (B) 14 neurons, and (C) 18 neurons in the hidden layer. | ||
The calculation shows that R2 values are 0.986, 0.971, and 0.982 for neuron numbers of 11, 14, and 18, respectively. These are consistent with and coupled with the MSE analysis, indicating the optimal neuron number in the hidden layer.
Fig. 15 illustrates the artificial neural network (ANN) model created to model the adsorption of methylene blue on activated carbon derived from durian waste. The three-layered network consists of an input layer, a hidden layer, and an output layer. Five neurons in the input layer are assigned to each independent factor: pH, contact time, dosage of the adsorbent, solution temperature, and initial dye concentration. These input parameters are linked to a single fully hidden layer consisting of 11 neurons, as identified in performance maximization with MSE and residual analysis. The hidden neurons are linked to an output layer with a single neuron giving the predicted MB removal efficiency. The fully connected feedforward architecture permits the ANN to identify highly nonlinear interaction among input variables and therefore is optimum for adsorption system modeling.
Fig. 16 presents regression analysis of experimental and predicted values for training, validation, and test subsets, and the whole dataset, to confirm the predictive accuracy of the optimized ANN model. The R values were 0.9932, 0.9912, and 0.9955 for training, validation, and test sets, respectively, which reflect very good agreement between target values and network output in all phases. The overall R value of 0.9929 also speaks to the strength of the model's generalization performance. Additionally, linear regression fits (colored lines) track very closely the ideal Y = T line (dashed gray), again speaking to the strength of the ANN in extracting the inherent nonlinear patterns of the adsorption process. The very small deviations from the ideal fit speak to low bias and high predictive homogeneity in all partitions. These results verify that the ANN model is an extremely accurate and effective instrument for predicting methylene blue adsorption performance under various experimental conditions.
In addition to its prediction capability, the ANN model also gives relative importance (RI), or the ability to ascertain the relative contribution of each input variable to the output. This may be extremely helpful in complex adsorption systems where many factors are nonlinearly interacting. Through observation of the internal weight structure of the network, the ANN can provide quantitative information regarding the strength with which each of the input parameters (e.g., pH, contact time, dosage, temperature, and initial concentration) contributes to the prediction of the target variable, such as adsorption capacity or removal efficiency. This allows the researcher to decide upon the most significant operating parameters, order the process optimization strategies, and achieve mechanistic insight into the system behavior.
Garson's method was applied to measure the relative importance (RI) of each input variable based on the internal weights of the trained artificial neural network (ANN). The method involves decomposing the input layer to hidden layer connection weights and the hidden layer to output layer connection weights. For each input neuron, the absolute product values of its weights to all the hidden neurons and the respective weights of those hidden neurons to the output are calculated. These are summed over all the hidden neurons to yield the total contribution of that input to the output. The RI of each input is then calculated by comparing its contribution to the sum of all contributions from the inputs and expressing it as a percentage. Mathematically, for input neuron i, the RI is calculated as
![]() | (14) |
Fig. 17 indicates the relative significance of each input variable influencing methylene blue removal as determined by Garson's algorithm from the trained artificial neural network model. Among the five input parameters, the initial MB concentration had the greatest RI of 35.52%, indicating that it was the most significant factor in determining adsorption effectiveness. Temperature, dosage, and contact time showed comparatively smaller contributions of 19.63%, 19.08%, and 15.35%, respectively, marking their secondary but distinctive influence on the adsorption process. On the other hand, pH revealed the lowest RI (10.42%), suggesting that it was the least influential parameter of the experimental range being studied. These quantitative variable significance results are a valuable basis for process optimization and further underscore the interpretability benefits of using ANN modeling to model adsorption systems.
From Fig. 18 and 19, the maximum adsorption capacity was determined to be qmax = 136.99 mg g−1, with the Langmuir constant b = 0.046 L g−1. The adsorption of methylene blue (MB) onto BDSS was found to fit the Langmuir model well, as evidenced by the high correlation coefficient (R2 = 0.9908).
A comparison of the maximum adsorption capacities of MB on biochars derived from agricultural wastes (Table 3) shows that the maximum adsorption capacity (qmax) of BDSS is relatively high. Remarkably, it is even higher than that of activated carbon prepared from durian shell pyrolyzed at 600 °C for 2 h and subsequently activated with 0.1 M H2SO4 for 24 h.11
| No. | Adsorbent material | Adsorption capacity (mg g−1) | References |
|---|---|---|---|
| 1 | Biochar from Mimosa pigra | 20.18 | 49 |
| 2 | Biochar from elephant dung | 34.36 | 50 |
| 3 | Biochar from sugarcane bagasse | 182.23 | 51 |
| 4 | Biochar from rice straw | 119.25 | 52 |
| Biochar from walnut shell | 85.92 | 52 | |
| 5 | Biochar from durian shell | 57.47 | 11 |
| 6 | Biochar derived from coconut husk treated with H2SO4 | 88.18 | 53 |
| Biochar derived from coconut husk treated with H3PO4 | 92.68 | ||
| 7 | Biochar derived from eucalyptus leaves treated with H3PO4 | 52.18 | 54 |
| 8 | Biochar derived from lathyrus sativus husk | 98.33 | 55 |
| BDSS | 136.99 | This study |
To assess whether MB adsorption onto BDSS follows a monolayer adsorption process as described by the Langmuir isotherm, the equilibrium parameter (RL) was evaluated. This parameter is calculated using the following expression:
![]() | (15) |
Based on the calculated RL values shown in Fig. 20, which range from 0.042 to 0.303 (all less than 1), it can be concluded that the Langmuir isotherm model provides a good description of MB adsorption onto BDSS. The adsorption process involves both physical and chemical interactions, occurring predominantly as monolayer adsorption on a homogeneous surface, where each adsorption site accommodates a single molecule and no significant interactions exist between the adsorbed species.
The adsorption of MB on BDSS was found to conform to both the Langmuir and the Freundlich isotherm models. This behavior can be attributed to the hybrid microstructure of BDSS, which contains well-ordered graphitic domains that enable π–π stacking interactions alongside amorphous regions with structural defects. The low crystallinity observed in the XRD pattern and the Raman ID/IG ratio of approximately 0.89 provide clear evidence for the coexistence of these two structural features within BDSS.
From the results shown in Fig. 23, the determination coefficient (R2 = 0.9589) indicates a good fit of the Temkin isotherm model. The calculated adsorption heat was bT = 107.10 J mol−1 (25.59 cal mol−1). According to Ettish et al.,56 physical adsorption is characterized by adsorption heat values lower than 1.0 kcal mol−1, while chemical adsorption typically occurs in the range of 20–50 kcal mol−1. When the adsorption heat lies between 1 and 20 kcal mol−1, both physical and chemical adsorption processes may contribute. Since the adsorption heat of BDSS for MB was well below 1.0 kcal mol−1, the adsorption process can be classified as physical adsorption, confirming that MB adsorption onto BDSS is consistent with the Temkin isotherm model.
From the results presented in Table 4, the determination coefficients (R2) of the Langmuir, Freundlich, Dubinin–Radushkevich, Temkin, Elovich, and Halsey isotherm models were found to be 0.9908, 0.9875, 0.6715, 0.9589, 0.9673, and 0.9589, respectively. These values indicate that the adsorption of MB onto BDSS is well described by the Langmuir, Freundlich, Elovich, Temkin, and Halsey models, but not by the Dubinin–Radushkevich model.
| Isotherm model | Constant values | |
|---|---|---|
| Langmuir | KL (L mg−1) | 0.0978 |
| qmax (mg g−1) | 136.99 | |
| R2 | 0.9908 | |
| Freundlich | KF (mg g−1) (mg L−1)1/n | 16.6 |
| N | 2.47 | |
| R2 | 0.9875 | |
| Dubinin–Radushkevich | qmax (mg g−1) | 78.49 |
| β (mol2 J−2) | 1.1475 | |
| R2 | 0.6715 | |
| E (kJ mol−1) | 0.66 | |
| Tempkin | KT (L.mol) | 1.169 |
| bT (J mol−1) | 107.10 | |
| R2 | 0.9589 | |
| Elovich | qmax (mg g−1) | 40.16 |
| Ke | 1.07 | |
| R2 | 0.9673 | |
| Halsey | KH (L g−1) | −0.043 |
| nH | 1.169 | |
| R2 | 0.9589 | |
Overall, the isotherm analysis demonstrates that MB adsorption onto BDSS involves both monolayer and multilayer adsorption, occurring on homogeneous and heterogeneous surface sites. The process is governed by a combination of physical and chemical adsorption mechanisms.
| MB concentration (mg L−1) | qt,exp, experimental (mg g−1) | qt,cal, calculated (mg g−1) | Rate constant k1 (min−1) | R2 |
|---|---|---|---|---|
| 48.65 | 19.168 | 1.170 | 0.02645 | 0.84299 |
| 78.18 | 29.960 | 2.020 | 0.01291 | 0.67063 |
| 106.18 | 40.276 | 5.790 | 0.02164 | 0.99859 |
As shown in Fig. 27 and Table 6, the equilibrium adsorption capacities calculated from the PSO model closely match the experimental values, and the correlation coefficients (R2) are approximately equal to 1. These results indicate that the PSO model provides a good fit for the adsorption of MB onto the BDSS material. The average pseudo-second-order rate constant was determined to be 0.0662 min−1 L mg−1.
| MB concentration (mg L−1) | qt,exp, experimental (mg g−1) | qt,cal, calculated (mg g−1) | Rate constant k2 (phút−1 L mg−1) | R2 |
|---|---|---|---|---|
| 48.65 | 19.168 | 19.238 | 0.0646 | 0.9999 |
| 78.18 | 29.960 | 30.010 | 0.0690 | 1.000 |
| 106.18 | 40.276 | 40.290 | 0.0650 | 1.000 |
The adsorption process following pseudo-second-order kinetics typically proceeds in two stages. In the first stage, external diffusion occurs, during which MB molecules migrate from the bulk solution to the surface of the BDSS adsorbent. In the second stage, MB molecules attach and adsorb onto the active sites on the BDSS surface. This stage represents the rate-limiting step of the adsorption process. This behavior suggests that the adsorption of MB onto BDSS is predominantly governed by a chemisorption mechanism.
The Elovich kinetic model is commonly applied to describe chemisorption processes on heterogeneous solid surfaces. This model is particularly appropriate in cases where the adsorption rate decreases over time due to surface coverage by previously adsorbed molecules. As illustrated in Fig. 28, the correlation coefficients (R2) obtained from the Elovich model were relatively low, ranging from 0.5360 to 0.5692. These results indicated that the adsorption kinetics of MB onto the BDSS material did not follow the Elovich model.
The intraparticle diffusion model proposed by Weber and Morris, illustrated in Fig. 29, shows that the plot of qt versus t0.5 is divided into two distinct linear regions. This indicates that the adsorption rate is controlled by multiple steps rather than solely by intraparticle diffusion. Intraparticle diffusion is typically influenced by pore size and the pore structure of the adsorbent. The first region exhibits a steeper slope, representing the initial stage where the adsorbate is rapidly transferred from the bulk solution to the external surface and then into the pores of the adsorbent, where adsorption occurs at the active sites. The second region corresponds to the equilibrium stage, during which intraparticle diffusion slows down and gradually reaches equilibrium due to the reduced concentration of MB in the solution.
Moreover, the fact that the linear plots in the first region do not pass through the origin suggests that intraparticle diffusion is not the sole rate-limiting step in the adsorption process.58 Based on the analyses in Fig. 29, the adsorption mechanism of MB on BDSS can be confirmed as a multistep process: initially governed by film diffusion, followed by intraparticle diffusion, and ultimately controlled by chemisorption.59
Fig. 30 presents the plot of ln(1 − F) as a function of time, which exhibits a linear trend. This indicates that film diffusion is one of the rate-controlling steps in the adsorption process. Film diffusion is typically influenced by the thickness of the boundary layer and the diffusion rate of the adsorbate. It is suggested that the boundary layer surrounding the MB molecules is relatively thick, which hinders the transfer of MB from the liquid phase to the surface of the BDSS adsorbent.
The overall kinetic analysis suggests that the adsorption of MB onto BDSS follows a pseudo-second-order kinetic model and is governed by a combination of intraparticle diffusion, external diffusion, and chemisorption mechanisms.
| MB concentration (mg L−1) | Activation energy (E) (kJ mol−1) |
|---|---|
| 48.65 | 14.65 |
| 78.18 | 16.84 |
| 106.18 | 18.32 |
| T (K) | ΔG° (kJ mol−1) | ΔH° (kJ mol−1) | ΔS° (kJ mol−1 K) |
|---|---|---|---|
| 303 | −2.27 | 68.70 | 0.234 |
| 313 | −4.71 | ||
| 323 | −6.95 |
The thermodynamic parameters summarized in Table 8 revealed that ΔG° values were negative, indicating that the adsorption of MB onto BDSS was a spontaneous process. Moreover, as the temperature increased from 303 K to 323 K, the ΔG° values became more negative, decreasing from −2.27 to −6.95 kJ mol−1. This suggests that the adsorption becomes increasingly favorable at higher temperatures. In addition, the positive ΔS° value (0.234 kJ mol−1 K) further supports the spontaneity of the process and implies an increase in randomness at the solid–liquid interface during adsorption.
The positive value of the enthalpy change (ΔH° > 0) indicates that the adsorption of MB on BDSS is endothermic in nature and is favored at high temperatures. Foo and Hameed,58 stated that when ΔH° is less than 25 kJ mol−1, van der Waals forces are mostly dominant, and the process is a physical adsorption. But between 40–200 kJ mol−1, the chemisorption mechanism dominates. For this study, the calculated ΔH° value of 68.70 kJ mol−1 shows that adsorption of MB on BDSS takes place predominantly by a chemisorption mechanism.
This finding is in accordance with the findings of the isotherm and kinetic analyses, which indicated that the adsorption of MB onto BDSS obeys the Langmuir, Freundlich, Temkin, Elovich, and Halsey isotherm models, and the pseudo-second-order kinetic model. Chemisorption is typically marked by electron transfer or sharing between adsorbate molecules and active sites on the adsorbent surface,62 but it may also be induced by moderate physical interactions associated with chemical affinity. Furthermore, the calculated enthalpy change is in agreement with the temperature effects found on adsorption performance, which reinforces the finding of the process being thermodynamically viable at high temperatures.
A positive value of ΔS° indicated that the adsorption of MB onto BDSS was spontaneous and thermodynamically favorable.63 This can be due to the replacement of water molecules that initially surrounded the MB+ cations. As the MB+ ions began to interact with the active sites on the adsorbent surface, these water molecules were released into the bulk solution, where their freedom of movement increased. This release resulted in an increase in the entropy of the system after adsorption and hence the positive entropy change.
However, the relatively small magnitude of ΔS° suggested that the adsorption of MB onto BDSS did not occur solely through physical adsorption mechanisms.64 In other words, the process likely involved a combination of both physical and chemical adsorption. This was further supported by the observed increase in adsorption efficiency with rising temperature, characteristic of an endothermic process. Typically, as temperature increases, physical interactions such as van der Waals forces tend to weaken due to the greater molecular kinetic energy, which would reduce the effectiveness of purely physical adsorption. Therefore, if chemical interactions had not been present, the adsorption efficiency would have been expected to decrease at higher temperatures.46 These findings were consistent with the conclusions drawn from the adsorption isotherm models presented in Section 2.5.
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| Fig. 32 Proposed schematic illustration: (a) adsorption mechanism of MB molecules via intraparticle diffusion and external diffusion; (b) interaction mechanism between MB and BDSS.67 | ||
From the results of the pH effect studies, FT-IR analysis, and the known chemical characteristics of MB (a cationic dye containing positively charged nitrogen (N) or sulfur (S) atoms),65 the following four adsorption mechanisms are proposed for the interaction between MB and BDSS, as illustrated in Fig. 32b: electrostatic interaction (Mechanism I); hydrogen bonding (Mechanism II); electron donor–acceptor interaction (Mechanism III); π–π interaction (Mechanism IV).
As noted by Vargas et al. (2011),66 the presence of surface functional groups plays a crucial role in the adsorption of MB. Specifically, the electrostatic interaction (Mechanism I) can be explained by the attraction between the positively charged nitrogen (N+) in the MB molecule and the negatively charged carboxylate ions (–COO−) present on the BDSS surface, as confirmed by FT-IR analysis and illustrated in Fig. 32b (I).
Mechanism II, hydrogen bonding, is commonly observed in most adsorption systems.48 The formation of hydrogen bonds on the BDSS surface after adsorption was confirmed by FT-IR analysis. Specifically, hydrogen bonding occurs between the hydrogen atoms of hydroxyl (–OH) groups on the BDSS surface and the nitrogen atoms in the MB molecule, as illustrated in Fig. 32b (II).
Mechanism III involves electron donor–acceptor interactions, where the carbonyl (C
O) functional groups on the BDSS surface act as electron donors, while the aromatic rings in MB molecules serve as electron acceptors, as shown in Fig. 32b (III). The disappearance of the characteristic FT-IR band at 1794.84 cm−1, corresponding to the C
O group after adsorption, further supports this mechanism. These electron donor–acceptor interactions may also lead to the decolorization of MB, converting the dye into its colorless leucomethylene form.68
Since MB also contains an aromatic structure, Mechanism IV is proposed to occur through π–π interactions between the benzene rings of MB and the sp2-hybridized graphite-like carbon network in BDSS, as depicted in Fig. 32b (IV). This mechanism is supported by the disappearance of the FT-IR band at 1474.64 cm−1, which corresponds to the C
C stretching vibration, after adsorption. The pH effect studies on the adsorption of MB by BDSS further confirm the presence of π–π interactions, as the adsorption efficiency was found to be relatively insensitive to pH variations.48
The relative contribution of these mechanisms is not fixed but depends on factors such as pH, the degree of aromaticity (sp2) of BDSS, surface oxidation, and the ionic strength of the solution. A commonly observed order of dominance is: (I) electrostatic interactions ≈ (IV) π–π interactions > (III) electron donor–acceptor interactions > (II) hydrogen bonding.69
These findings suggest that BDSS has promising reusability potential for wastewater treatment applications, offering the advantage of reducing both operational costs and environmental impacts compared to the use of single-use adsorbents.
Optimum conditions for the adsorption of methylene blue (MB) from a concentration of 50 mg L−1 by BDSS were pH 7, 60 minutes contact time, and an adsorbent dosage of 0.05 g per 20 mL solution.
Adsorption of MB onto BDSS was found to be satisfactorily described using certain isotherm models, including Langmuir, Freundlich, Temkin, Elovich, and Halsey. From the Langmuir isotherm model, the highest adsorption capacity (qmax) of BDSS towards MB was 136.99 mg g−1.
Kinetic study showed that the adsorption process followed a pseudo-second-order kinetic model, was spontaneous, and an endothermic process. Monolayer as well as multilayer adsorption was observed, suggesting that the surface of BDSS is both homogeneous as well as heterogeneous in nature. The adsorption process was governed by physical and chemical interactions, in which intraparticle diffusion, external diffusion, and temperature controlled the rate of adsorption.
The primary adsorption mechanisms of MB onto BDSS were electrostatic forces, hydrogen bonding, π–π interactions, electron donor–acceptor interactions, and pore filling. The adsorption efficiency for MB remained at 53.74% following three successive reuse cycles, a result showing the potential for reusability of the material.
In addition, an artificial neural network (ANN) model was also effectively developed for the prediction of BDSS adsorption performance under varying conditions. The feedforward ANN with an optimal topology of five input parameters (pH, contact time, adsorbent dosage, temperature, and initial MB concentration), a hidden layer of 11 neurons, and a single output neuron provided excellent predictive capability (R > 0.99 for training, validation, and testing). The model also showed that the initial MB concentration was the most important parameter, followed by temperature, adsorbent dose, contact time, and pH. These results are helpful in process optimization and practical application.
In conclusion, this study confirms that BDSS biochar of durian waste is an efficient, reusable, and stable adsorbent for methylene blue removal. The integration with ANN modeling provides a powerful tool for adsorption behavior prediction and operational condition optimization, forming a very good foundation for further study and practical implementation in wastewater treatment.
SI is provided with this article, including additional adsorption performance data of the durian peel–seed biochar. The file contains figures on adsorption efficiency comparison, effects of pH, contact time, adsorbent dosage, and adsorption isotherms at different temperatures and initial dye concentrations. See DOI: https://doi.org/10.1039/d5ra05313g.
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