Multifactorial Optimization of Biochar Synthesis from Pea Pods Using the RSM Method: Insights into Process Parameters and Adsorption Capabilities Towards Cr(VI) and CO2
Abstract
1. Introduction
2. Results and Discussion
2.1. Characterization of the Raw Material
2.2. Modeling and Design of Experiments
2.3. Statistical Evaluation and Optimization of Process Variables
2.4. Application on Hexavalent Chromium Removal and CO2 Removal
2.4.1. Characterization of the Two Biochars
2.4.2. Effect of Parameters, Adsorption Isotherms, and Mechanism of Cr(VI) Removal
2.4.3. Application in CO2 Capture
Effect of Activation Temperature
Adsorption Selectivity
Adsorption Thermodynamics
3. Materials and Methods
3.1. Materials
3.2. Characterization of Raw Material
3.3. Fabrication of the Biochar
3.4. Doehlert Experimental Design
3.5. Adsorption Experiments
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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| Proximate Analysis | |
| Moisture content (%) | 8.51 ± 1.28 |
| Ash content (%) | 4.34 ± 0.05 |
| Volatile matter (%) | 82.37 ± 1.20 |
| Fixed carbon (%) | 4.78 ± 0.63 |
| pH of zero charge | 4.61 |
| Elemental analysis | |
| Carbon (%) | 41.33 ± 0.45 |
| Nitrogen (%) | 3.20 ± 0.18 |
| Hydrogen (%) | 6.20 ± 0.01 |
| Sulfur (%) | Not revealed |
| Oxygen (%) * | 49.27 ± 0.28 |
| Exp | Real Values Factors | Responses | ||||
|---|---|---|---|---|---|---|
| IR (Wt./Wt.) | T (°C) | Time (min) | Yield Y1 (%) | BET Area Y2 (m2 g−1) | Zeta Potential Y3 (mV) | |
| 1 | 3.5:1 | 550 | 75 | 9.17 | 850 | −11.68 |
| 2 | 0.5:1 | 550 | 75 | 33.89 | 623 | −9.15 |
| 3 | 2.75:1 | 700 | 75 | 14.30 | 833 | −14.32 |
| 4 | 1.25:1 | 400 | 75 | 24.17 | 204 | −8.34 |
| 5 | 2.75:1 | 400 | 75 | 12.86 | 18 | −4.40 |
| 6 | 1.25:1 | 700 | 75 | 31.69 | 263 | −9.35 |
| 7 | 2.75:1 | 600 | 120 | 15.22 | 660 | −10.60 |
| 8 | 1.25:1 | 500 | 30 | 21.42 | 585 | −5.12 |
| 9 | 2.75:1 | 500 | 30 | 12.94 | 698 | −7.79 |
| 10 | 2.00:1 | 650 | 30 | 13.58 | 1134 | −8.62 |
| 11 | 1.25:1 | 600 | 120 | 28.24 | 224 | −10.11 |
| 12 | 2.00:1 | 450 | 120 | 15.85 | 374 | −6.95 |
| 13 | 2.00:1 | 550 | 75 | 16.16 | 1003 | −7.41 |
| 14 | 2.00:1 | 550 | 75 | 15.45 | 1112 | −7.95 |
| 15 | 2.00:1 | 550 | 75 | 16.49 | 1100 | −9.72 |
| Y1 (%) | Y2 (m2 g−1) | Y3 (mV) | |
|---|---|---|---|
| F-ratio | 35.473 | 1991.768 | 61.356 |
| Lack of fit p-value | ˂0.05 (**) | ˂0.001 (***) | ˂0.001 (***) |
| R2 | 0.985 | 0.988 | 0.991 |
| Source | Yield (%) | BET Area (m2 g−1) | Zeta Potential (mV) | |||
|---|---|---|---|---|---|---|
| Coefficient | Signif.% | Coefficient | Signif.% | Coefficient | Signif.% | |
| Model | 16.03 | *** | 1071.66 | *** | −7.69 | *** |
| X1_Impregnation ratio | −12.45 | *** | 173.37 | *** | −1.15 | ** |
| X2_Temperature | 2.26 | * | 270.12 | *** | −3.17 | *** |
| X3_Time | 2.32 | * | −236.57 | *** | −1.25 | ** |
| X1X2 | 5.49 | ** | 436.49 | *** | −2.72 | *** |
| X1X3 | 4.46 | * | 43.46 | *** | −0.97 | * |
| X2X3 | 0.27 | 81.1% | −492.05 | *** | 0.16 | 64.7% |
| X12 | −3.51 | 6.4% | −335.16 | *** | −5.14 | *** |
| X22 | −1.53 | 40.0% | −877.88 | * | 3.15 | ** |
| X32 | 6.33 | * | −385.44 | *** | −0.25 | 63.3% |
| Sample | ACEXP6 | ACEXP13 |
|---|---|---|
| pH of zero charge | 2.24 | 2.34 |
| Elemental analysis | ||
| Carbon (%) | 68.78 ± 0.33 | 62.74 ± 0.34 |
| Nitrogen (%) | 1.68 ± 0.01 | 1.32 ± 0.15 |
| Hydrogen (%) | 2.72 ± 0.19 | 1.99 ± 0.31 |
| Sulfur (%) | 0.06 ± 0.04 | Not Detected |
| Oxygen (%) * | 26.79 ± 0.55 | 33.95 ± 0.12 |
| O/C | 0.39 | 0.54 |
| H/C | 0.04 | 0.03 |
| ACEXP6 | ACEXP13 | |
|---|---|---|
| BET (m2 g−1) | 263 | 1003 |
| DFT Total pore volume (cm3 g−1) | 0.16 | 0.71 |
| DFT Micropores volume (cm3 g−1) | 0.05 | 0.21 |
| DFT Mesopores volume (cm3 g−1) | 0.11 | 0.49 |
| Micropore fraction (v/v) | 0.31 | 0.30 |
| Isotherm Model | ACEXP13 | ACEXP6 |
|---|---|---|
| Langmuir | ||
| Q0 (mg g−1) | 77.597 | 67.277 |
| B (L mg−1) | 0.098 | 0.319 |
| R2 | 0.959 | 0.970 |
| Freundlich | ||
| Kf | 21.031 | 26.865 |
| 0.261 | 0.198 | |
| R2 | 0.969 | 0.922 |
| Temkin | ||
| AT (L mg−1) | 9.672 | 24.312 |
| Br (J mol−1) | 251.854 | 292.949 |
| R2 | 0.93791 | 0.959 |
| Dubinin–Radushkevich | ||
| Qs (mg g−1) | 69.820 | 62.283 |
| E (kJ mol−1) | 0.173 | 0.744 |
| R2 | 0.837 | 0.906 |
| Biomass Sources | Activation Agent | BET Surface Area (m2/g) | pH | Time (min) | Adsorption Capacity (mg g−1) | Affinity (mg m−2) | Ref |
|---|---|---|---|---|---|---|---|
| Leucaena leucocephala | H3PO4 | 1131 | 4 | 60 | 13.85 | 0.0122 | [74] |
| Teff Straw | H2SO4 | 456 | 2.2 | 109 | 19.48 | 0.0427 | [26] |
| Ficus nitida leaves | H2SO4 | 1230 | 4 | 24 h | 21.00 | 0.0171 | [75] |
| Pomegranate peel | H2SO4 | Not reported | 3 | 28.28 | - | [28] | |
| Artemisia monosperma | H3PO4 | Not reported | 3 | 40 | 36.9 | - | [25] |
| Apple peels | NaOH | Not reported | 2 | 240 | 36.01 | - | [29] |
| Teff straw | H3PO4 | 824 | 2 | 60 | 49.285 | 0.0598 | [27] |
| Sugar beet bagasse | H3PO4 | 748 | 4 | 120 | 52.8 | 0.0706 | [76] |
| Typha | H3PO4 | 53 | 6 | 720 | 55.5 | 1.0472 | [77] |
| Acacia falcata | H3PO4 | 407 | 2 | 180 | 60.14 | 0.1478 | [66] |
| Pea pods (ACEXP6) | H3PO4 | 263 | 2 | 120 | 67.3 | 0.2559 | This study |
| Pea pods (ACEXP13) | 1003 | 77.6 | 0.0774 |
| T (°C) | nm, T (mmol g−1) | t (bar−1) | KT | R2 |
|---|---|---|---|---|
| ACEXP6 | ||||
| 20 | 40.87 | 0.233 | 2.69 × 10−5 | 0.99993 |
| 30 | 43.17 | 0.244 | 1.60 × 10−5 | 0.99994 |
| 40 | 57.25 | 0.237 | 9.16 × 10−6 | 0.99993 |
| 50 | 144.67 | 0.220 | 2.49 × 10−6 | 0.99953 |
| ACEXP13 | ||||
| 20 | 50.52 | 0.281 | 1.24 × 10−4 | 0.99998 |
| 30 | 33.58 | 0.330 | 9.45 × 10−5 | 0.99978 |
| 40 | 47.15 | 0.308 | 5.47 × 10−5 | 0.99999 |
| 50 | 51.31 | 0.314 | 3.51 × 10−5 | 0.99999 |
| Factors | Level | ||
|---|---|---|---|
| −1 | 0 | +1 | |
| X1: Impregnation ratio | 0.5 | 2 | 3.5 |
| X2: Temperature (°C) | 400 | 550 | 700 |
| X3: Time (min) | 30 | 75 | 120 |
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Ben Khalifa, E.; Rzig, B.; Audu, M.F.; Minoia, A.; Cesano, F.; Hamrouni, B.; Magnacca, G. Multifactorial Optimization of Biochar Synthesis from Pea Pods Using the RSM Method: Insights into Process Parameters and Adsorption Capabilities Towards Cr(VI) and CO2. Inorganics 2026, 14, 205. https://doi.org/10.3390/inorganics14080205
Ben Khalifa E, Rzig B, Audu MF, Minoia A, Cesano F, Hamrouni B, Magnacca G. Multifactorial Optimization of Biochar Synthesis from Pea Pods Using the RSM Method: Insights into Process Parameters and Adsorption Capabilities Towards Cr(VI) and CO2. Inorganics. 2026; 14(8):205. https://doi.org/10.3390/inorganics14080205
Chicago/Turabian StyleBen Khalifa, Eya, Boutheina Rzig, Mariam Fadeke Audu, Angelica Minoia, Federico Cesano, Bechir Hamrouni, and Giuliana Magnacca. 2026. "Multifactorial Optimization of Biochar Synthesis from Pea Pods Using the RSM Method: Insights into Process Parameters and Adsorption Capabilities Towards Cr(VI) and CO2" Inorganics 14, no. 8: 205. https://doi.org/10.3390/inorganics14080205
APA StyleBen Khalifa, E., Rzig, B., Audu, M. F., Minoia, A., Cesano, F., Hamrouni, B., & Magnacca, G. (2026). Multifactorial Optimization of Biochar Synthesis from Pea Pods Using the RSM Method: Insights into Process Parameters and Adsorption Capabilities Towards Cr(VI) and CO2. Inorganics, 14(8), 205. https://doi.org/10.3390/inorganics14080205

