Kinetic and Thermodynamic Studies of Methylene Blue Adsorption on Biomass-Derived Biocarbon Materials
Abstract
1. Introduction
2. Results and Discussion
2.1. Physicochemical Characterization of the Activated Carbons
2.2. Adsorption
2.3. Desorption
2.4. Mechanism
3. Materials and Methods
3.1. Precursor and Biochar Samples Preparation
3.2. Characterization of Resulted Biocarbon Samples
3.3. Adsorption Studies
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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| Sample | Surface Area 1 (m2/g) | Pore Volume (cm3/g) | Vm/Vt | Average Pore Size (nm) | Iodine Number (mg/g) | Ash Content (%) | ||
|---|---|---|---|---|---|---|---|---|
| Total | Microporous | Total | Microporous | |||||
| FS5 | 117 | 52 | 0.133 | 0.027 | 0.239 | 4.53 | 135 | 7.86 |
| CS5 | 146 | 75 | 0.171 | 0.032 | 0.187 | 4.68 | 116 | 8.09 |
| FS6 | 154 | 68 | 0.158 | 0.038 | 0.241 | 4.09 | 141 | 8.97 |
| CS6 | 109 | 47 | 0.133 | 0.020 | 0.150 | 4.87 | 101 | 9.21 |
| Precursor | Activator | Precursor: Activator Ratio | Activation Time (min) | Activation Temperature (°C) | Sorption Capacity (mg/g) | Source |
|---|---|---|---|---|---|---|
| fennel seeds | Na2CO3 | 1:2 | 45 | 700 | 77 | [13] |
| caraway seeds | Na2CO3 | 1:2 | 45 | 700 | 37 | [14] |
| fennel seeds | Na2CO3 | 1:1 | 45 | 700 | 11 | [15] |
| raspberry fruit | Na2CO3 | 1:2 | 60 | 700 | 146 | [31] |
| blackcurrant fruit | Na2CO3 | 1:2 | 60 | 700 | 137 | |
| nettle leaves | Na2CO3 | 1:2 | 60 | 700 | 96 | |
| green tea leaves | Na2CO3 | 1:2 | 60 | 700 | 85 | |
| pineapple peel | KOH | - | 120 | 700 | 136 | [32] |
| Saponaria officinalis root | H2SO4 | 1:1 | 90 | 650 | 75 | [33] |
| Isotherm | Parameters | Sample | |||
|---|---|---|---|---|---|
| FS5 | CS5 | FS6 | CS6 | ||
| qexp (mg/g) | 28 | 24 | 32 | 20 | |
| Langmuir | KL (dm3/mg) | 0.856 | 9.974 | 2.184 | 1.569 |
| qm (mg/g) | 29 | 23 | 32 | 19 | |
| R2 | 0.934 | 0.656 | 0.986 | 0.615 | |
| Adj2 | 0.901 | 0.541 | 0.979 | 0.487 | |
| Freundlich | KF (mg/g (dm3/mg)1/n) | 22.107 | 19.923 | 26.065 | 13.081 |
| 1/n | 0.077 | 0.053 | 0.082 | 0.123 | |
| R2 | 0.979 | 0.972 | 0.971 | 0.986 | |
| Adj2 | 0.973 | 0.962 | 0.962 | 0.983 | |
| Sample | Temperature (°C) | ∆G° (kJ/mol) | ∆H° (kJ/mol) | ∆S° (J/mol × K) |
|---|---|---|---|---|
| FS5 | 25 | −1.79 | 21.65 | 77.92 |
| 35 | −2.24 | |||
| 45 | −2.86 | |||
| 55 | −2.95 | |||
| 65 | −4.86 | |||
| CS5 | 25 | −1.79 | 15.86 | 59.07 |
| 35 | −3.76 | |||
| 45 | −2.45 | |||
| 55 | −2.45 | |||
| 65 | −2.48 | |||
| FS6 | 25 | −3.59 | 16.53 | 67.52 |
| 35 | −3.94 | |||
| 45 | −4.51 | |||
| 55 | −5.90 | |||
| 65 | −6.29 | |||
| CS6 | 25 | −0.52 | 15.08 | 50.91 |
| 35 | −0.63 | |||
| 45 | −1.11 | |||
| 55 | −1.55 | |||
| 65 | −2.18 |
| Kinetics Model | Parameters | Sample | |||
|---|---|---|---|---|---|
| FS5 | CS5 | FS6 | CS6 | ||
| qe (mg/g) | 25 | 23 | 32 | 17 | |
| Pseudo-first-order | k1 (1/min) | 1.563 × 10−5 | 9.133 × 10−6 | 9.528 × 10−6 | 7.583 × 10−6 |
| R2 | 0.963 | 0.890 | 0.922 | 0.940 | |
| qe/cal (mg/g) | 7 | 9 | 9 | 8 | |
| Pseudo-second-order | k2 (g/mg × min) | 4.484 × 10−3 | 4.478 × 10−3 | 5.739 × 10−3 | 3.307 × 10−3 |
| R2 | 0.999 | 0.999 | 0.999 | 0.997 | |
| qe/cal (mg/g) | 23 | 19 | 28 | 14 | |
| Intraparticle diffusion | kid (mg/g × min1/2) | 0.440 | 0.382 | 0.453 | 0.319 |
| R2 | 0.952 | 0.935 | 0.950 | 0.965 | |
| C (mg/g) | 15.723 | 12.399 | 20.739 | 8.581 | |
| Elovich | α (mg/g × min) | 766.098 | 295.680 | 8694.073 | 84.810 |
| R2 | 0.998 | 0.997 | 0.976 | 0.977 | |
| β (g/mg) | 0.515 | 0.584 | 0.506 | 0.722 | |
| Element | 0.1 M NaOH | 0.1 M HCl | Ethanol | Methylene Blue |
|---|---|---|---|---|
| C (% At) | 84.63 | 84.66 | 84.55 | 86.00 |
| N (% At) | 6.15 | 4.68 | 3.82 | 5.31 |
| O (% At) | 9.22 | 10.66 | 11.63 | 8.69 |
| Equation | Parameter | |
|---|---|---|
| (1) | C0—the initial concentration (mg/dm3) of the dye in solution; Ce—the equilibrium concentration (mg/dm3) of the dye in solution; m—the mass of the biocarbon sample (g); V—the volume of the solution (dm3); | |
| (2) | qe—the equilibrium amount of adsorbed dye (mg/g); KL—Langmuir equilibrium constant (dm3/mg); qmax—the maximum adsorption capacity of the adsorbent (mg/g); | |
| (3) | KF—Freundlich equilibrium constant (mg/g(dm3/mg)1/n); 1/n—the adsorption intensity constant; | |
| (4) | ΔG°—Gibbs free energy; R—universal constant (8.314 J/mol × K); T—temperature (K); ΔH°—enthalpy change; ΔS°—entropy change; Kd—thermodynamic equilibrium constant; | |
| (5) | ||
| (6) | ||
| (7) | qe—the equilibrium amount of adsorbed dye (mg/g); qt—the amount of adsorbed dye over time (mg/g); t—the process time (minvalues in the referenced study ); k1—the pseudo-first-order adsorption constant (1/min); k2—the pseudo-second-order adsorption constant (g/mg × min); α—the Elovich initial sorption rate constant (mg/g × min); β—the Elovich desorption constant (g/mg); kid—the intraparticle diffusion constant (mg/g×min1/2); C—the intraparticle diffusion model’s boundary layer constant (mg/g). | |
| (8) | ||
| (9) | ||
| (10) |
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Paluch, D.; Bazan-Wozniak, A.; Nosal-Wiercińska, A.; Pietrzak, R. Kinetic and Thermodynamic Studies of Methylene Blue Adsorption on Biomass-Derived Biocarbon Materials. Int. J. Mol. Sci. 2026, 27, 2270. https://doi.org/10.3390/ijms27052270
Paluch D, Bazan-Wozniak A, Nosal-Wiercińska A, Pietrzak R. Kinetic and Thermodynamic Studies of Methylene Blue Adsorption on Biomass-Derived Biocarbon Materials. International Journal of Molecular Sciences. 2026; 27(5):2270. https://doi.org/10.3390/ijms27052270
Chicago/Turabian StylePaluch, Dorota, Aleksandra Bazan-Wozniak, Agnieszka Nosal-Wiercińska, and Robert Pietrzak. 2026. "Kinetic and Thermodynamic Studies of Methylene Blue Adsorption on Biomass-Derived Biocarbon Materials" International Journal of Molecular Sciences 27, no. 5: 2270. https://doi.org/10.3390/ijms27052270
APA StylePaluch, D., Bazan-Wozniak, A., Nosal-Wiercińska, A., & Pietrzak, R. (2026). Kinetic and Thermodynamic Studies of Methylene Blue Adsorption on Biomass-Derived Biocarbon Materials. International Journal of Molecular Sciences, 27(5), 2270. https://doi.org/10.3390/ijms27052270

