Research Article | | Peer-Reviewed

Isotherm, Kinetic and Thermodynamic Modelling of Biosorption of Methlyene Blue and Rhodamine 6G Dyes into Melon (Cucumeropsis Manni) Husk from Model Wastewater

Received: 26 November 2025     Accepted: 24 February 2026     Published: 10 March 2026
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Abstract

The release of unprocessed or moderately treated industrial wastewater, especially from the textile industry, poses significant environmental challenges due to the elevated levels of pollutants such as dyes. This research investigates the use of agricultural waste, specifically Raw Melon Husk (RMH), for the elimination of two different dyes which are Methylene Blue (MB) and Rhodamine 6G (R6G) utilizing the adsorption technique. RMH was characterized using Fourier Transform Infrared Spectroscopy and Scanning Emission Microscopy. Various experimental parameters were optimized, including pH, adsorbent dosage, initial dye concentration, contact time, and temperature. Optimal conditions for Methylene Blue (MB) and Rhodamine 6G (R6G) dyes removal were determined to be at pH 7 and 6, dosage of 1 g/L and 20 g/L, concentration of 30 mg/L and 50 mg/L, and a contact time of 30 minutes and 10 minutes respectively. The adsorption capacity and percentage removal for MB and R6G are 1.1084 mg/g and 94.5% as well as 1.345 mg/g and 94.20% respectively. The Temkin isotherm model best described the equilibrium data (R² = 0.9966) for MB while Langmuir model with R² = 0.9857 fitted best for R6G suggesting a monolayer biosorption capacity of 1.200 mg/g. The kinetics of both dyes followed a pseudo-second-order model with R² of 0.996 and 0.9998 respectively which inferred that the process is diffusion controlled. Thermodynamic studies indicated that the adsorption process for both dyes were exothermic and spontaneous. The melon husk has successfully been used for removing methylene blue and Rhodamine 6G from model wastewater. This study contributed to achieve SDG goals 3 and 6.

Published in American Journal of Physical Chemistry (Volume 15, Issue 1)
DOI 10.11648/j.ajpc.20261501.12
Page(s) 8-21
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2026. Published by Science Publishing Group

Keywords

Melon Husk (Cucumeropsis manni), Kinetics, Thermodynamics Bisorption, Rhodamine 6G Dye, Methylene Blue Dye

1. Introduction
With the development and advancement in technology to satisfy human needs, comes harmful consequences and effects. These effects emerge in different forms of environmental pollution e.g. Water pollution . A major technological advancement responsible for water pollution is from the textile industry . Dyes are one of the most dangerous pollutants in water as far as environmental hazards are concern. During the manufacturing process of textiles, only a few of the dye stays on the fabric, the rest are discharged as waste into the water bodies . This waste is very harmful to aquatic lives, human lives and the economy possibly causing disturbances in the food chain and diminishing biodiversity . Hence, the removal of this dye from wastewater is prioritized as one of the most critical environmental problems to be solved .
Figure 1. Graphical Abstracts.
Dye bearing effluents are treated in various ways. Sedimentation, chemical flocculation, coagulation, filtration and aeration are efficient traditional methods that are used in treating textile effluents . However, there are several cons associated with this method. Such as, high energy consumption, offensive smell, toxic by-products, and huge capital cost . In the last few years, to cover this gap, researchers needed to look for more efficient methods to improve the quality of textile wastewater effluent before discharging into the environment .
A relatively new approach discovered is known as biosorption. Biosorption can be defined as the separation of organic and inorganic material, including metals and dyes using live cells or parts of their biomass, such as bacteria, fungi, seaweed, various sludge materials, or byproducts of the fermentation industries . The utilization of agricultural waste as adsorbents is very important for the removal of many pollutants from wastewater . The biosorption behavior of agricultural products is defined as the ability of a surface to adsorb dye by utilizing agriculturally based materials .
This method is widely implemented for removing dye from wastewater because the process has high effectiveness compared to other techniques with various constraints . The adsorption approach using agricultural waste is considered more efficient due to the high efficiency of removing dyes and no toxic by-products .
Considering that agricultural wastes have little to no commercial and economic value, coupled with the constraints of proper disposal. Hence, it is important to find efficient ways to utilize them . Such materials are easily and locally available in developing and under-developed countries . From a socio-economic perspective, agricultural waste is inexpensive, and when waste is converted into an effective adsorbing reagent, agricultural waste expenditures are eliminated, and the adsorbing agent offers opportunities for commercialization .
Besides agricultural waste, other types of adsorbents like metal-organic frameworks (MOFs), metal materials, organic polymers, organic polymers have been utilized for dye adsorption (5-6, 18-21). These adsorbents generally have advantages like abundant surface areas and ample functional groups favoring the adsorption of dye molecules and other pollutants to them and leading to high adsorption efficiencies .
In the present study, it aimed at the evaluation of the efficacy of raw melon husk (RMH) as a low-cost adsorbent for the removal of Methylene Blue (MB) and Rhodamine 6G (R6G) dyes from aqueous solutions. Comparing the adsorption capacities, optimal conditions, kinetics, equilibrium, and thermodynamic parameters to determine its potential as an efficient industrial waste treatment solution.
2. Materials and Methods
2.1. Preparation of Stock Solution
A stock solution of 1000 mg/L of dyes was prepared. The dye solutions were prepared by dissolving 1 g of Methylene Blue (C16H18N3SCl) and Rhodamine 6G (C28H31ClN2O3) in a 1000 mL volumetric flask and diluted up to the mark by addition of distilled water. Then the working solution was prepared from the stock to get desired experimental concentrations. The wavelength of absorbance of the adsorbate was determined using Perkin Elmer Lambda 356 UV-Vis spectrophotometer.
Figure 2. (a) Structure of Methylene Blue (b) Structure of Rhodamine 6g.
2.2. Collection and Preparation of Adsorbent
The chosen precursor material, Raw Melon husk (RMH) which was used as a biosorbent in this study, was obtained from a local market, Iya-Iba market, Ojo, Lagos. Before use the melon husk was washed with tap water first, then distilled water conspicuously to remove dirt, dust and several surface impurities. The dried samples were ground in a blender and sieved to obtain a particle of desired size and stored in Plastic containers to use for adsorption experiments.
2.3. Batch Adsorption Experiment
The pH variation: The effect of pH on the equilibrium adsorption of Methylene Blue and Rhodamine 6G by RMH was investigated over a range of pH (2, 4, 6, 8 and 10) values at an initial concentration of 50 mg/L, using 50 mL of MB and R6G and 0.5 g of the adsorbents. The suspension was agitated using an orbital shaker (Model SSMI, SSL1-CCL) at a speed of 250 rpm for 120 minutes at 25°C, left to settle, and then filtered. Changes in pH of MB and R6G solution was accomplished by using 0.1 M HCl or 0.1 M NaOH to attain pH changes for the MB and R6G.
Dosage variation: The dosage variation experiment was achieved by using, 50 mL of the MB and R6G solution respectively varying dosage of the adsorbent (0.1 g, 0.3 g, 0.5 g, 0.7 g, 0.9 g, 1.0 g and 1.5 g) at pH 7 and 6 respectively. This experiment was conducted as described in the pH variation.
The concentration variation: This was done by using 50 mL of the MB and R6G solution with varying concentration (10, 30, 50, 70, 90 and 100 mg/L) at an optimal pH 7 and 6; 1.0 g of the adsorbent respectively.
Time variation: Time variation was performed by measuring 50 mL of 30 mg/L and 50 mg/L of MB and R6G solution respectively at pH 7 and pH 6 respectively with 0.25 g and 1.0 g of the melon husk adsorbent was used. The suspension was agitated using an orbital shaker at a speed of 250 rpm at time intervals (10, 30, 60, 90, 120 and 140 minutes). After shaking, the suspension is left to settle and was filtered.
Temperature variation: The optimal temperature process was achieved using 50 mL of 30 mg/L MB solution with 0.25 g of melon husk adsorbent and 50 mL of 50 mg/L R6G solution at pH 6 with 1.0 g of melon husk adsorbent. The suspension was agitated using an orbital shaker for an optimal time of 30 min and 10 min respectively at varying temperatures (25, 30, 35, and 40°C). All of the experiments were duplicated to check the reproducibility of data and the averages of the results were used for data analysis. The absorbance of the filtrate was determined using a SM 7504 UV-Vis spectrophotometer at 664 nm and 527 nm for MB and R6G respectively.
Data Treatment
Calculation of the removal of dye by melon husk adsorbent
The adsorption capacities were determined according to the following equation:
qe=C0- CeVM(1)
Where; C0 and Ce are the initial and final sorbate concentration in solutions, qe, V and M are the amount of sorbate sorbed (mg/g), volume of the solution (mL) and mass (g) of RMH sample, respectively.
Co (mg L−1) is the initial concentration of R6G and MB solution; Ce (mg L−1) is the equilibrium concentration of R6G and MB in aqueous solution; V (L) is the volume of solution; m (g) is the mass of the biosorbent and qe (mg g−1) is the calculated R6G and MB biosorption amount onto the melon husk respectively.
Calculation of the percentage of dye removed by the adsorbent (RMH).
The percentage removal of dye was calculated using the following equation;
% R=C0- CeC0x 100(2)
Where; R is the removal efficiency of the metal ions adsorbent studied; C0 is the initial metal ions concentration in solution (mg/L); Ce is the metal ions concentration removed by adsorbent at equilibrium (mg/L). .
2.4. Adsorption Isotherm
An adsorption isotherm helps to predict the applicability of an adsorption process using some physiochemical properties. Sorption isotherms were characterized by some constants which values express the surface properties and affinity of the sorbent and can also use to find the adsorptive capacity of a mass . Different isotherm models were available, and three of them are selected in this study: Langmuir, Freundlich and Temkin models due to their simplicity and reliability.
2.4.1. Langmuir Isotherm
Langmuir theory assumes that adsorption was a kind of chemical process and that the adsorbed layer was unimolecular, that is, The Langmuir model assumes that the sorbent surface contains only one type of binding site so the energy of sorption is constant. The Langmuir isotherm model has the following form ;
The Langmuir model in linear form;
Ceqe=Ceqm +1bqm(3)
where qe (mg g−1) is the amount of the dye sorbed per unit mass of sorbent, Ce (mg g−1) is the equilibrium dye concentration in the solution, qm (mg g−1) is the Langmuir constant related the maximum monolayer sorption capacity and b (L mg g−1) is the constant related to the free energy or net enthalpy of adsorption.
The essential characteristics of Langmuir isotherm can be described by means of ‘RL’ a dimensionless constant referred to as separation factor or equilibrium parameter. RL can be calculated using the following equations ;
RL=11+ bCO(4)
where Co (mg L−1) is the initial concentration of sorbate and b (L mg−1) is the Langmuir constant described above. The RL parameter is considered as more reliable indicator of adsorption. .
The graph of Ce/qe against qe was plotted.
2.4.2. Freundlich Isotherm
The Freundlich isotherm model assumes a heterogeneous sorption surface with sites that have different energies of sorption and provides no information on the monolayer adsorption capacity . The Freundlich model has the linear form;
ln qe = 1/n ln Ce + ln Kf(5)
where qe (mg g−1) is the amount of the dye sorbed per unit mass of sorbent, Ce (mg g−1) is the equilibrium dye concentration in the solution, Kf is a constant related to sorption capacity (mg g−1) and 1/n is an empirical parameter related to sorption intensity. The value of n varies with the heterogeneity of sorbent and gives an idea for the favorability of sorption process. Favorable sorption conditions, 0 < n < 10 or 0 < 1/n < 1 .
A plot of ln qe versus ln Ce was done.
2.4.3. Temkin Isotherm
The Temkin isotherm contains factors that take into account the interaction between the adsorbent and the adsorbate. This model assumes that the heat of adsorption of all molecules decreases linearly by increasing coverage. This isotherm is given by the equation below;
qe = ß ln Ce+ ß ln kt(6)
ß = RT / Bt(7)
ß represents the heat of adsorption; R is the universal .
2.5. Adsorption Kinetics Modeling
Kinetic models are utilized to study the rate of the adsorption process and the potential rate estimating step. Pseudo first and second order kinetics models were applied in order to model the adsorption process.
2.5.1. Pseudo First Order Model
The pseudo first order has the linear form;
ln (qe−qt) = ln qe−k1t(8)
where qe (mg g−1) is the amounts of the dye biosorbed on the biosorbate at equilibrium; qt (mg g−1) is the amounts of the dye biosorbed on the biosorbate at any time t; k1 (min−1) is the rate constant of the first order model.
A ln (qe−qt) versus t plot.
2.5.2. Pseudo- Second Order Model
The pseudo-second-order model assumes that the adsorption process occurs through chemisorption, which involves the formation of a chemical bond between the adsorbate and the adsorbent surface. The model has the linear form;
t/qt= t/qe+ 1/k2q2e(9)
Where; k2 (g mg−1 min−1) is the rate constant of the second-order equation; .
qe (mg g−1) is the maximum biosorption capacity;
qt (mg g−1) is the amount of biosorption at time t (min).
2.6. Adsorption Thermodynamic
The thermodynamic parameters including Gibbs free energy change (ΔGo), enthalpy (ΔHo), and entropy change (ΔSo), have a significant role to determine the feasibility, spontaneity and heat change for the biosorption process.
These parameters can be calculated using the equation
ΔGo =−RTlnKd(10)
where R is the universal gas constant (8.314 J mol−1 K−1); T is the temperature (K); and Kd is the distribution coefficient , The Kd value was calculated using the equation
Kd=Ce/qe(11)
where qe and Ce are the equilibrium concentration of R6G on biosorbent (mg/g) and the concentration of R6G after adsorption (mg L), respectively .
The enthalpy (ΔHo), and entropy change (ΔSo) of adsorption were estimated from the equation;
ΔGo = ΔHo−TΔSo and it has a linear form of:
lnKd =ΔS0R+ΔH0RT(12)
The thermodynamic parameters of ΔHo and ΔS o were obtained from the slope and intercept of the plot between lnKd versus 1/T, gas constant; T is the absolute temperature in Kelvin; Kt and ß are the isotherm constant and can be gotten from the plot of qe versus Ce .
3. Result and Discussion
3.1. Characterization
The physiochemical properties of Melon husk were characterized using Fourier Transform Infrared Spectroscopy (FTIR) and Scanning Electron Microscope (SEM). FTIR was used to identify the presence of functional groups on the adsorbent surface while SEM was used for morphology investigation of the adsorbent before and after adsorption.
3.2. Fourier Transform Infrared (FTIR) Spectroscopy of Raw Melon Husk
Raw melon husk (RMH) biosorbent was analyzed using a NicoletTM iS50 FT-IR spectrophotometer to substantiate the possible interactions of dyes onto biosorbent and its consequence on the biosorption behavior. The FTIR spectra of the biomass (RMH) revealed numerous absorption bands between the wavelength ranges of 4000 - 500 cm-1 showing transmittance of the biosorbent. Fourier transform infrared (FTIR) spectra of the raw melon-husk adsorbent and after adsorption of methylene blue (MB) and Rhodamine-6G (R6G) are shown in Figure 3. The spectrum of the raw melon husk displays the characteristic bands of lignocellulosic biomass: a broad O-H stretching band centered in the 3200-3600 cm-1 region (indicative of hydrogen-bonded hydroxyl groups from cellulose, hemicellulose and absorbed water), C-H stretching bands near 2850-2930 cm-1 (aliphatic -CH₂/-CH₃), a C=O/carbonyl/ester band in the region 1700-1730 cm-1 (associated with hemicellulose and lignin carbonyls), aromatic C=C and conjugated carbonyl vibrations around 1500-1600 cm-1, and multiple C-O / C-O-C stretching bands between 1000 and 1250 cm-1 arising from cellulose/ether linkages. After adsorption of R6G (red spectrum) and MB (blue spectrum), significant spectral changes occur constantly with dye uptake and surface interaction which in agreement with earlier report . Key observations are: O-H band changes. The broad O-H band becomes less intense and, in some cases, slightly shifted after dye adsorption, indicating involvement of surface hydroxyls in hydrogen bonding with dye molecules and partial displacement of physisorbed water. Carbonyl / aromatic region (≈1500-1730 cm-1). The intensity and/or position of the C=O / aromatic bands change after adsorption, with the R6G spectrum showing larger modifications in the aromatic/C=O region than MB. This suggests stronger π-π interactions and/or electrostatic/coordination interactions between the xanthene/aromatic moieties of R6G and melon-husk aromatic/carbonyl groups. After adsorption, features attributable to aromatic ring vibrations and N-containing groups from MB and R6G appear or increase in intensity (notably in the 1400-1600 cm-1 and 1000-1150 cm-1 regions). These confirm the presence of both cationic dyes on the melon-husk surface .
Figure 3. FTIR spectrum of (a) Melon Husk before adsorption and (b) after adsorption of R6G (c) after adsorption of MB.
3.3. Scanning Electron Microscope Sem and Edx Analysis
Scanning Electron Microscopy (SEM) and energy dispersive spectroscopy X-ray (EDX) (aTecnai G2F2OX-TTwinMAT model) techniques was used to examine the surface morphology and determine the chemical makeup of the biomass surface respectively. The highly magnified view reveals a porous, granular structure with a range of particle sizes which can facilitates the adsorption process due to its surface reaction nature. In addition, these features are indicative of a high surface area, which is beneficial for adsorption and can enhance adsorption processes. The texture appears rough and irregular, suggesting a complex surface that can provide numerous adsorption sites for dye molecules of methylene blue and Rhodamine 6G. The presence of pores is evident from Figure 4a-b, which illustrates a homogeneously distributed network of small filamentous and fistulous crystallites. The matrix also exhibits luminous and non-luminous features, indicating the presence of metals dispersed throughout the organic matrix and on the surface as shown in Figure 5.
Figure 4. SEM morphology of melon husk before adsorption (a) at 8000x magnitude and (b) at 10000x magnitude.
Figure 5. Energy Dispersive Spectroscopy (EDS) analysis of melon husk before adsorption.
3.4. Results and Discussion
3.4.1. Effect of Parameters on Adsorption Studie
(i). Effect of pH on Adsorption Studies
The pH of the solution has a strong influence on the adsorption of Rhodamine 6G (R6G) and Methylene Blue (MB) onto melon husk (Cucumeropsis manni), mainly because it affects both the surface charge of the adsorbent and the ionic form of the dye molecules. The variation in adsorption with pH is shown in Figure 6 (a2), while the point of zero charge (pHpzc) of the melon husk surface is presented in Figure 6 (a1). The pHpzc values were found to be around 6.0 and 7.0, indicating that the adsorbent surface is positively charged at lower pH values and becomes increasingly negatively charged as the pH rises. At acidic pH levels (pH 2-4), adsorption of both dyes was relatively low. This behavior can be explained by the protonation of surface functional groups such as -OH and -COOH, which gives the adsorbent a positive surface charge. As a result, electrostatic repulsion occurs between the adsorbent and the cationic dye molecules, while excess hydrogen ions compete with the dyes for available adsorption sites. Together, these effects limit dye uptake at low pH. As the pH increased toward the pHpzc region, adsorption improved significantly and reached a maximum at pH 6 for both dyes. The removal of R6G increased from 28.6% at pH 2 to 88.93% at pH 6, while MB removal increased from 80.75% to 92.01% over the same pH range. This enhancement is mainly due to reduced surface protonation and weaker electrostatic repulsion, which allow stronger dye-adsorbent interactions such as electrostatic attraction, hydrogen bonding, and π-π interactions to occur. When the pH was increased beyond 6, a gradual decrease in adsorption was observed for both R6G and MB. Although the adsorbent surface becomes negatively charged above the pHpzc, the reduction in adsorption may be linked to weaker effective electrostatic interactions, increased dye solubility, and competition from hydroxyl ions for active sites. Excess negative surface charge at higher pH may also hinder efficient dye attachment. Overall, the adsorption behavior of R6G and MB on melon husk is largely controlled by the surface charge properties of the adsorbent, as confirmed by the pHpzc results. The close agreement between the optimum adsorption pH and the pHpzc region highlights the key role of electrostatic interactions and supports the suitability of Cucumeropsis manni husk as a low-cost biosorbent for cationic dye removal under mildly acidic to near-neutral conditions, in line with previous reports on lignocellulosic agricultural wastes .
(ii). Effect of Adsorbent Dosage on Adsorption Studies
The effect of adsorbent dosage on the adsorption of MB and R6G was considered at a constant initial metal ion concentration of 2.053. mg/g and 3.005 mg/g respectively. As the dosage of melon husk increases from 0.1 g to 1.0 g, the amount of MB adsorbed decreases from 2.05 mg/g to 0.1688 mg/g as the dosage increases due to the greater surface area and more adsorption sites, although the adsorption capacity decreases with higher dosage as shown in Figure 6b. This behavior is attributed to the equilibrium reached between surface dye concentration and the MB dye solution at higher dosages. Similarly, the amount of R6G adsorbed decreases from 3.005 mg/g to 0.398 mg/g, while the% removal increases from 58.18% to 79.04%, indicating an optimal dosage of 1.0 g (Figure 5b).
(iii). Effect of Initial Metal Ion Concentration on Adsorption Studies
As the initial concentration of MB increases from 10 mg/L to 100 mg/L, the amount of MB uptake on melon husk increases from 0.58 mg/g to 0.78 mg/g, but a decrease in percent adsorption from 94.13% to 87.95%, due to the enhanced interaction between dye molecules and the adsorbent surface. Similarly, for R6G an increase in initial concentration from 10 mg/L to 100 mg/L leads to an increase in adsorption capacity from 0.26 mg/g to 2.40 mg/g, with a corresponding increase in percentage removal from 84.04% to 95.07% . The higher percentage adsorption at lower initial concentrations for both dyes is attributed to the high ratio of adsorptive surface to dye concentration, which means fewer dye molecules compete for available binding sites on the adsorbent , whereas with increasing dye concentration, this ratio decreases, leading to reduced percent adsorption. Similar observations have been reported by others , where a decrease in percent adsorption with increasing initial concentration of adsorbate resulted in increased adsorption capacity.
(iv). Effect of Contact Time on Adsorption
The effect of contact time on the adsorption of MB and R6G dyes on melon husk was examined at constant optimal dye concentration of 30 mg/L and 50 mg/L respectively. The result of the adsorption shown in Figure 6d revealed an initial rapid uptake of MB dye achieving over 89% adsorption within the first 10 minutes, followed by a slower increase up to approximately 120 minutes to 96.2%, which was identified as the equilibrium time. In contrast, R6G, exhibited a similarly rapid initial phase, with adsorption percentages climbing from 94.2% to a peak of 96.49% over 10 minutes, corresponding to a gradual increase in adsorbed amount from 1.345 mg/g to 1.380 mg/g. This pattern suggests that both dyes benefit from an abundance of available binding sites during the early stages of adsorption, facilitating their rapid uptake onto melon husk surfaces.
(v). Effect of Temperature on Adsorption Studies
Figure 6. Effect of (a1) point of Zero charge, (a2) pH (b) adsorbent dose (c) dye concentration, (d) contact time and (e) Temperature on biosorption of R6G and MB dyes.
In comparing the adsorption behaviors of MB and R6G dyes on melon husk, the effect of temperature on the adsorption process was studied at distinct temperature from 298K to 318K as shown in Figure 6e. Notably, the adsorption of MB onto RMH exhibits a reduction in adsorption capacity, decreasing from 1.96 mg/g (92% removal) to 1.88 mg/g (90% removal) as the temperature rises from 298 K to 318 K, indicating an exothermic nature of the MB adsorption process under these conditions and a low energy requirement for the MB adsorption onto the melon husk. This decrease could be credited to a decrease in mobility due to a decrease in the number of active surface sites for adsorption by melon husk at higher temperatures thus decreasing the number of MB that interact with active sites of the biosorbent. Conversely, for R6G, the percentage removal increases from 90.53% at 298 K to 94.01% at 318 K, accompanied by a corresponding rise in uptake from 1.52 mg/g to 2.23 mg/g. This highlights the robust biosorption capability of melon husk for R6G across different temperatures, as illustrated in Figure 6d.
3.4.2. Adsorption Isotherms Studies
Figure 7. Adsorption isotherm plot (a, b,) Langmuir for R6G and MB, (c, d) Freundlich for R6G and MB) (e, f) Temkin for for R6G and MB onto melon husk.
This work examined the adsorption of methylene blue dye and Rhodamine 6G (R6G) onto melon husk using the Langmuir, Freundlich, and Temkin isotherm models. The results of the study, as presented in Table 1, indicate that the Langmuir and Temkin models provide a good fit for the data, with R2 values ranging from 0.9957 to 0.9966 as shown in Figures 7a-f. The correlation coefficient values indicated that the Langmuir model is a better fit for R6G which may be due to both homogeneous active sites on the surface of the melon husk which in agreement with earlier report while the Temkin model is more suitable for MB as shown in Table 1. The maximum adsorption capacity, qm, was calculated from the Langmuir plots for each dyes. The analysis showed that melon husk posses a higher adsorption capacity for R6G compared to MB. The approach to zero of the RL with increase in the Co value, indicated that the melon husk is a suitable biosorbent for the biosorption of R6G from aqueous solutions. The Temkin isotherm model was found to be suitable for the adsorption of MB onto melon husk. The values of Kt were determined from the intercept and slope of the graph for each dye respectively and are as well presented in Table 1. The results indicate that R6G has the strongest adsorption tendency towards melon husk followed by MB. Additionally, the n values obtained for the dyes adsorption onto melon husk are less than unity, suggesting that the adsorption process is chemical in nature.
Table 1. Adsorption isotherm parameters for the adsorption of Rhodamine 6G and Methylene Blue onto melon husk (Cucumeropsis manni).

Isotherm Models

R6G

MB

Langmuir

Co (mg/L)

50

30

Qmax (mg/g)

1.200

0.843

Qe (mg/g)

1.280

0.426

b (L/g)

1.803

16.95

RL

0.011

0.007

R2

0.9857

0.9556

Freundlich

1/n

2.227

1.376

KF

0.315

0.874

R2

0.9794

0.1951

Temkin

Kt (L/mg)

1.133

0.8494

R2

0.210

0.9966

3.4.3. Adsorption Kinetic Studies
To examine the impact of time on the adsorption process and determine the service time of the adsorbent, the adsorption kinetic of the dyes using the prepared adsorbents was assessed. Elovich's pseudo-first and pseudo-second-order models were applied to analyze the experimental data and identify potential mechanisms involved in adsorption . The adsorption kinetics are illustrated in Figure 8a-d and the model fitting parameters are summarized in Table 2. The results suggest that the experimental data was better fitted by the pseudo-second-order reaction than by the pseudo-first-order reaction as shown by the correlation coefficient, R2 values of 0.9996 and 0.9998, obtained which are close to unity which indicated that the dyes exhibited diffusion controlled on the surface of the melon husk (26, 40).
Figure 8. Pseudo first order plot (a) for R6G and (b) for MB and Pseudo second order plot (c) for R6G and (d) for MB onto melon husk (Cucumeropsis manni).
Table 2. Parameters for various kinetic models of Rhodamine 6G and Methylene Blue using Cucumeropsis manni.

Kinetic Models

R6G

MB

Pseudo-first order

CO (mg/l)

50

30

Qe (mg/g)

0.0599

3.8679

K1 (min-1)

1.002

0.0007

R2

0.5832

0.2460

Pseudo-second order

CO (mg/l)

50

30

Qe (mg/g)

1.380

0.9013

K2

06296

7.513

R2

0.996

0.9998

Thermodynamic investigation on Adsorption
The standard enthalpy ∆H° and entropy ∆S° were calculated using the slope and intercept of the graph of ln K against T-1, as depicted in Figure 9 a, b and Table 3. A negative value was obtained for ∆G° across all temperatures (25°C-40°C) examined. For both R6G and MB, the negative value of ΔGo increased from −1.91 to −0.65 kJ mol−1 and an increase from -2.81 to -1.79 kJ mol−1 with an increase in temperature respectively indicating the spontaneous nature of biosorption of both dyes. The negative values of ΔHo (-22.88 kJ mol−1 & -13.41 kJ mol−1) and ΔSº (-70.92 J mol−1 K−1 & -36.87 J mol−1 K−1) which depicts the thermodynamic analysis demonstrated the exothermic nature of biosorption with decreasing randomness at the solid/solution interface during the biosorption of R6G and MB onto melon husk.
Table 3. Thermodynamic Parameter of adsorption.

Temp (°K)

ΔG (kJ mole-1)

ΔH (kJ mole-1)

ΔS (J K-1 mole-1)

R6G

MB

R6G

MB

R6G

MB

298

-1.91

-2.81

-22.88

-13.41

-70.92

-36.87

308

-0.81

-1.63

313

-0.41

-2.17

318

-0.65

-1.79

Figure 9. Plot of Van’t Hoff for adsorption of (a) R6G (b) MB) onto Melon husk.
4. Conclusion
Comparative Analysis of MB and R6G Dye Removal Using Melon Husk as an Adsorbent Raw melon husk (RMH) has demonstrated effectiveness as a low-cost adsorbent for the removal of both Rhodamine 6G (R6G) and Methylene Blue (MB) dyes from aqueous solutions. The biosorbent demonstrated an increased ability to remove these dyes at both acidic and neutral pH, with the optimal removal at a slightly acidic pH of 6 for R6G and pH 7 for MB. The optimal conditions for other parameter for R6G adsorption indicated adsorbent dosage of 20 mg/L, initial concentration of 50 mg/L, and an equilibrium time of 120 minutes while for MB the adsorbent dosage of 1 g/L, initial concentration of 30 mg/L, and an equilibrium time of 30 minutes were established. The pseudo-second-order kinetic model was a better fit for the adsorption of both dyes than the pseudo-first-order model, with a higher correlation coefficient. Thermodynamic studies showed that the adsorption process was exothermic and spontaneous, with a negative Gibbs free energy of adsorption. The isotherm and thermodynamic data indicated that the adsorption mechanism was generally physisorption due to low energy. This research work supports the UN Sustainable Development Goals by enhancing efficient wastewater treatment and safeguarding human health through the removal of textiles dyes from wastewater.
Abbreviations

FTIR

Fourier-transform Infrared Spectroscopy

pH

Potential of Hydrogen

qe

Adsorption Capacity at Equilibrium (mg/g)

R2

Coefficient of Determination

SEM

Scanning Electron Microscopy

WHO

World Health Organization

°C

Degrees Celsius

MB

Methylene Blue

R6G

Rhodamine 6G

RMH

Raw Melon Husk

XRD

Xray Difraction

Author Contributions
Onwordi Chionyedua Theresa: Conceptualization, Data curation, methodology, supervision, Writing – review & editing
Adetunji Ibrahim Olaniyi: Data curation, Methodology resources, Writing – original draft
Borokinni Ridwan Aderenle: Data curation, Methodology resources, Writing – original draft
Oyewole Toyib Seun: Supervision, software, Project administration, validation, visualization
Uche Cosmos Chinedu: Methodology, resources, software
Osifeko Olawale Lawrence: Supervision, software, Project administration
Tovide Oluwakemi Omotunde: Data curation, Methodology, resources, validation
Osundiya Medinat Olubunmi: Data curation, Methodology, resources, validation
Dodo Salimah Wuraola: Supervision, software, Project administration, validation
Akoro Seide Modupe: Methodology, resources, investigation, software
Olowu Rasaq Adewale: Conceptualization, Data curation, methodology, supervision, validation, visualization, Writing – review & editing
Data Availability Statement
The data is available from the corresponding author upon reasonable request.
Conflicts of Interest
The authors declare no conflicts of interest.
References
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Cite This Article
  • APA Style

    Theresa, O. C., Olaniyi, A. I., Aderenle, B. R., Seun, O. T., Chinedu, U. C., et al. (2026). Isotherm, Kinetic and Thermodynamic Modelling of Biosorption of Methlyene Blue and Rhodamine 6G Dyes into Melon (Cucumeropsis Manni) Husk from Model Wastewater. American Journal of Physical Chemistry, 15(1), 8-21. https://doi.org/10.11648/j.ajpc.20261501.12

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    ACS Style

    Theresa, O. C.; Olaniyi, A. I.; Aderenle, B. R.; Seun, O. T.; Chinedu, U. C., et al. Isotherm, Kinetic and Thermodynamic Modelling of Biosorption of Methlyene Blue and Rhodamine 6G Dyes into Melon (Cucumeropsis Manni) Husk from Model Wastewater. Am. J. Phys. Chem. 2026, 15(1), 8-21. doi: 10.11648/j.ajpc.20261501.12

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    AMA Style

    Theresa OC, Olaniyi AI, Aderenle BR, Seun OT, Chinedu UC, et al. Isotherm, Kinetic and Thermodynamic Modelling of Biosorption of Methlyene Blue and Rhodamine 6G Dyes into Melon (Cucumeropsis Manni) Husk from Model Wastewater. Am J Phys Chem. 2026;15(1):8-21. doi: 10.11648/j.ajpc.20261501.12

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  • @article{10.11648/j.ajpc.20261501.12,
      author = {Onwordi Chionyedua Theresa and Adetunji Ibrahim Olaniyi and Borokinni Ridwan Aderenle and Oyewole Toyib Seun and Uche Cosmos Chinedu and Osifeko Olawale Lawrence and Tovide Oluwakemi Omotunde and Osundiya Medinat Olubunmi and Dodo Salimah Wuraola and Akoro Seide Modupe and Olowu Rasaq Adewale},
      title = {Isotherm, Kinetic and Thermodynamic Modelling of Biosorption of Methlyene Blue and Rhodamine 6G Dyes into Melon (Cucumeropsis Manni) Husk from Model Wastewater},
      journal = {American Journal of Physical Chemistry},
      volume = {15},
      number = {1},
      pages = {8-21},
      doi = {10.11648/j.ajpc.20261501.12},
      url = {https://doi.org/10.11648/j.ajpc.20261501.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpc.20261501.12},
      abstract = {The release of unprocessed or moderately treated industrial wastewater, especially from the textile industry, poses significant environmental challenges due to the elevated levels of pollutants such as dyes. This research investigates the use of agricultural waste, specifically Raw Melon Husk (RMH), for the elimination of two different dyes which are Methylene Blue (MB) and Rhodamine 6G (R6G) utilizing the adsorption technique. RMH was characterized using Fourier Transform Infrared Spectroscopy and Scanning Emission Microscopy. Various experimental parameters were optimized, including pH, adsorbent dosage, initial dye concentration, contact time, and temperature. Optimal conditions for Methylene Blue (MB) and Rhodamine 6G (R6G) dyes removal were determined to be at pH 7 and 6, dosage of 1 g/L and 20 g/L, concentration of 30 mg/L and 50 mg/L, and a contact time of 30 minutes and 10 minutes respectively. The adsorption capacity and percentage removal for MB and R6G are 1.1084 mg/g and 94.5% as well as 1.345 mg/g and 94.20% respectively. The Temkin isotherm model best described the equilibrium data (R² = 0.9966) for MB while Langmuir model with R² = 0.9857 fitted best for R6G suggesting a monolayer biosorption capacity of 1.200 mg/g. The kinetics of both dyes followed a pseudo-second-order model with R² of 0.996 and 0.9998 respectively which inferred that the process is diffusion controlled. Thermodynamic studies indicated that the adsorption process for both dyes were exothermic and spontaneous. The melon husk has successfully been used for removing methylene blue and Rhodamine 6G from model wastewater. This study contributed to achieve SDG goals 3 and 6.},
     year = {2026}
    }
    

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  • TY  - JOUR
    T1  - Isotherm, Kinetic and Thermodynamic Modelling of Biosorption of Methlyene Blue and Rhodamine 6G Dyes into Melon (Cucumeropsis Manni) Husk from Model Wastewater
    AU  - Onwordi Chionyedua Theresa
    AU  - Adetunji Ibrahim Olaniyi
    AU  - Borokinni Ridwan Aderenle
    AU  - Oyewole Toyib Seun
    AU  - Uche Cosmos Chinedu
    AU  - Osifeko Olawale Lawrence
    AU  - Tovide Oluwakemi Omotunde
    AU  - Osundiya Medinat Olubunmi
    AU  - Dodo Salimah Wuraola
    AU  - Akoro Seide Modupe
    AU  - Olowu Rasaq Adewale
    Y1  - 2026/03/10
    PY  - 2026
    N1  - https://doi.org/10.11648/j.ajpc.20261501.12
    DO  - 10.11648/j.ajpc.20261501.12
    T2  - American Journal of Physical Chemistry
    JF  - American Journal of Physical Chemistry
    JO  - American Journal of Physical Chemistry
    SP  - 8
    EP  - 21
    PB  - Science Publishing Group
    SN  - 2327-2449
    UR  - https://doi.org/10.11648/j.ajpc.20261501.12
    AB  - The release of unprocessed or moderately treated industrial wastewater, especially from the textile industry, poses significant environmental challenges due to the elevated levels of pollutants such as dyes. This research investigates the use of agricultural waste, specifically Raw Melon Husk (RMH), for the elimination of two different dyes which are Methylene Blue (MB) and Rhodamine 6G (R6G) utilizing the adsorption technique. RMH was characterized using Fourier Transform Infrared Spectroscopy and Scanning Emission Microscopy. Various experimental parameters were optimized, including pH, adsorbent dosage, initial dye concentration, contact time, and temperature. Optimal conditions for Methylene Blue (MB) and Rhodamine 6G (R6G) dyes removal were determined to be at pH 7 and 6, dosage of 1 g/L and 20 g/L, concentration of 30 mg/L and 50 mg/L, and a contact time of 30 minutes and 10 minutes respectively. The adsorption capacity and percentage removal for MB and R6G are 1.1084 mg/g and 94.5% as well as 1.345 mg/g and 94.20% respectively. The Temkin isotherm model best described the equilibrium data (R² = 0.9966) for MB while Langmuir model with R² = 0.9857 fitted best for R6G suggesting a monolayer biosorption capacity of 1.200 mg/g. The kinetics of both dyes followed a pseudo-second-order model with R² of 0.996 and 0.9998 respectively which inferred that the process is diffusion controlled. Thermodynamic studies indicated that the adsorption process for both dyes were exothermic and spontaneous. The melon husk has successfully been used for removing methylene blue and Rhodamine 6G from model wastewater. This study contributed to achieve SDG goals 3 and 6.
    VL  - 15
    IS  - 1
    ER  - 

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  • Abstract
  • Keywords
  • Document Sections

    1. 1. Introduction
    2. 2. Materials and Methods
    3. 3. Result and Discussion
    4. 4. Conclusion
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  • Abbreviations
  • Author Contributions
  • Data Availability Statement
  • Conflicts of Interest
  • References
  • Cite This Article
  • Author Information