Valorization of Inga feuilleei (Pacay) Seeds as a Promising Adsorbent for the Removal of Direct Red 80 Dye in Aqueous Solution—Kinetics, Isotherms, Thermodynamics, and Techno-Economic Analysis
Abstract
1. Introduction
2. Materials and Methods
2.1. Reagents
2.2. Quantification of Direct Red 80 in Water
2.3. Adsorption Process
2.4. Characterization
2.5. Particle Size Effect on the Removal Process
2.6. pH Effect on the Removal Process
2.7. Kinetics
2.8. Adsorption Isotherms
2.9. Thermodynamic Study
2.10. Evaluation of Adsorbent Reuse
2.11. Techno-Economic Analysis Process
3. Results and Discussion
3.1. SEM Characterization
3.2. Point of Zero Charge
3.3. Effect of the Particle Size
3.4. pH Effect
3.5. FTIR Characterization
3.6. Kinetic Study
3.7. Isotherms
3.8. Thermodynamics
3.9. Reuse
3.10. Techno-Economic Analysis
4. Conclusions
Supplementary Materials
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
Abbreviations
| IFS | Inga feuilleei seed |
| DR80 | Direct Red 80 |
| FTIR | Fourier Transform Infrared Spectroscopy |
| ATR | Attenuated Total Reflectance |
| pHPZC | Point of zero charge |
| SEM | Scanning Electron Microscope |
| ANOVA | Analysis of variance |
| R2 | coefficient of determination |
| qt | Adsorption capacity |
| m | Weight |
| V | Volume |
| Ci | Initial concentration |
| Cf | Final concentration |
| k1 | Pseudo-first order constant |
| k2 | Pseudo-second order |
| qe | Adsorption capacity at equilibrium |
| t | Time |
| Ce | Concentration of DR80 at equilibrium |
| qm | Maximum adsorption capacity |
| KL | Langmuir constant |
| n | Freundlich constant |
| ΔS0 | Entropy |
| ΔH0 | Enthalpy |
| ΔG0 | Gibbs energy |
| T | Temperature |
| R | Universal gas constant |
| Kc | Equilibrium constant |
| NPV | Net Present Value |
| IRR | Internal Rate of Return |
| B/C | Benefit/cost |
| IRP | Investment Recovery Period |
| CF | Cash Flow |
| I0 | Initial investment |
| i | Discount rate |
| A | Immediate previous year of recovery |
| B | Initial investment |
| C | Accumulated cash flow |
| D | Economic cash |
| COK | Cost of Opportunity of Capital |
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| T (°C) | Ci (mg/L) | Removal % | qexp (mg/g) | Pseudo-First Order | Pseudo-Second Order | ||||
|---|---|---|---|---|---|---|---|---|---|
| k1 (min−1) | qe, cal (mg/g) | R2 | k2 (g mg−1 min−1) | qe, cal (mg/g) | R2 | ||||
| 20 | 100 | 77.55 | 80.68 | 0.0821 | 74.13 | 0.9279 | 0.0013 | 81.21 | 0.9796 |
| 200 | 55.59 | 104.38 | 0.0882 | 95.37 | 0.9330 | 0.0011 | 104.29 | 0.9822 | |
| 300 | 41.86 | 120.84 | 0.0775 | 111.74 | 0.9652 | 0.0008 | 122.75 | 0.9932 | |
| 400 | 26.08 | 105.66 | 0.0606 | 117.22 | 0.9669 | 0.0007 | 108.71 | 0.9947 | |
| 30 | 100 | 88.37 | 92.41 | 0.0919 | 85.05 | 0.9372 | 0.0013 | 92.82 | 0.9842 |
| 200 | 61.14 | 114.81 | 0.1066 | 105.11 | 0.9438 | 0.0015 | 112.82 | 0.9847 | |
| 300 | 50.02 | 144.40 | 0.1309 | 136.14 | 0.9656 | 0.0013 | 145.25 | 0.9942 | |
| 400 | 33.15 | 130.88 | 0.1269 | 142.35 | 0.9379 | 0.0013 | 151.17 | 0.9825 | |
| 40 | 100 | 94.44 | 98.76 | 0.1021 | 91.32 | 0.9370 | 0.0014 | 98.98 | 0.9839 |
| 200 | 67.22 | 126.22 | 0.1838 | 118.17 | 0.9652 | 0.0024 | 123.91 | 0.9915 | |
| 300 | 54.95 | 158.62 | 0.1969 | 148.32 | 0.9619 | 0.0021 | 155.15 | 0.9894 | |
| 400 | 40.31 | 163.32 | 0.1921 | 155.45 | 0.9747 | 0.0020 | 162.38 | 0.9956 | |
| 50 | 100 | 99.39 | 103.93 | 0.1192 | 97.67 | 0.9465 | 0.0016 | 104.73 | 0.9873 |
| 200 | 78.05 | 146.56 | 0.1850 | 137.81 | 0.9645 | 0.0021 | 144.45 | 0.9915 | |
| 300 | 63.90 | 184.44 | 0.2064 | 175.37 | 0.9795 | 0.0021 | 182.34 | 0.9975 | |
| 400 | 48.64 | 195.38 | 0.2326 | 187.42 | 0.9815 | 0.0023 | 194.12 | 0.9951 | |
| Model | Parameters | Value | |||
|---|---|---|---|---|---|
| 20 °C | 30 °C | 40 °C | 50 °C | ||
| Langmuir | qm (mg/g) | 133.11 | 146.78 | 152.78 | 183.51 |
| KL (L/mg) | 0.0601 | 0.1229 | 0.2901 | 2.065 | |
| R2 | 0.9924 | 0.9544 | 0.9520 | 0.9862 | |
| Freundlich | 1/n | 0.1840 | 0.1703 | 0.1417 | 0.1019 |
| KF | 46.13 | 58.81 | 74.55 | 113.51 | |
| R2 | 0.9669 | 0.8931 | 0.9133 | 0.9466 | |
| Adsorbent | T (K) | pH | C0 (mg/L) | Adsorbent Dosage (g/L) | Stirring Time (min)/Stirring Speed (rpm) | Particle Size (μm) | qmax (mg/g) | Reference |
|---|---|---|---|---|---|---|---|---|
| Orange peel | 298 | 2 | 50–125 | 4 | 25/200 | -- | 21.05 | [48,49] |
| Mixture shells | 293 | 6 | 50–150 | 3.2 | 300/200 | <106 | 28.50 | [50] |
| External shells | 293 | 6 | 50–150 | 3.2 | 300/200 | <106 | 23.753 | [50] |
| Internal shells | 293 | 6 | 50–150 | 3.2 | 300/200 | <106 | 22.00 | [50] |
| Potato peels | 303.16 | 2 | 100 | 20 | 60/100 | 100 | 27.778 | [51] |
| Potato peels | 313.16 | 2 | 100 | 20 | 60/100 | 100 | 45.45 | [51] |
| Potato peels | 323.16 | 2 | 100 | 20 | 60/100 | 100 | 32.258 | [51] |
| Soy Meal Hull | 293 | 2 | 50–150 | 0.3 | 120/200 | <125 | 178.57 | [52] |
| Inga feuilleei seed powder | 293 | 2 | 100–400 | 1 | 240/350 | 150 | 133.11 | This research |
| 303 | 2 | 100–400 | 1 | 240/350 | 150 | 146.78 | This research | |
| 313 | 2 | 100–400 | 1 | 240/350 | 150 | 152.78 | This research | |
| 323 | 2 | 100–400 | 1 | 240/350 | 150 | 183.51 | This research |
| T (K) | ΔH° (kJ/mol) | ΔS° (J/mol·K) | ΔG° (kJ/mol) |
|---|---|---|---|
| 293 | 67.85 | 241.21 | −2.98 |
| 303 | −5.12 | ||
| 313 | −7.38 | ||
| 323 | −10.30 |
| Parameter | Value |
|---|---|
| NPV (USD) | 35,701.46 |
| IRR (%) | 25.47 |
| B/C | 1.49 |
| IRP | 3.6289 |
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Gonzales-Condori, E.G.; Sotomayor-Asencio, M.L.; Mayhuire-Centeno, M.F.; Paz-Corrales, O.A.; Gonzales-Condori, J.; Villanueva-Salas, J.A. Valorization of Inga feuilleei (Pacay) Seeds as a Promising Adsorbent for the Removal of Direct Red 80 Dye in Aqueous Solution—Kinetics, Isotherms, Thermodynamics, and Techno-Economic Analysis. Processes 2026, 14, 968. https://doi.org/10.3390/pr14060968
Gonzales-Condori EG, Sotomayor-Asencio ML, Mayhuire-Centeno MF, Paz-Corrales OA, Gonzales-Condori J, Villanueva-Salas JA. Valorization of Inga feuilleei (Pacay) Seeds as a Promising Adsorbent for the Removal of Direct Red 80 Dye in Aqueous Solution—Kinetics, Isotherms, Thermodynamics, and Techno-Economic Analysis. Processes. 2026; 14(6):968. https://doi.org/10.3390/pr14060968
Chicago/Turabian StyleGonzales-Condori, Elvis G., Madelin L. Sotomayor-Asencio, Marycielo F. Mayhuire-Centeno, Olivia A. Paz-Corrales, Jonathan Gonzales-Condori, and José A. Villanueva-Salas. 2026. "Valorization of Inga feuilleei (Pacay) Seeds as a Promising Adsorbent for the Removal of Direct Red 80 Dye in Aqueous Solution—Kinetics, Isotherms, Thermodynamics, and Techno-Economic Analysis" Processes 14, no. 6: 968. https://doi.org/10.3390/pr14060968
APA StyleGonzales-Condori, E. G., Sotomayor-Asencio, M. L., Mayhuire-Centeno, M. F., Paz-Corrales, O. A., Gonzales-Condori, J., & Villanueva-Salas, J. A. (2026). Valorization of Inga feuilleei (Pacay) Seeds as a Promising Adsorbent for the Removal of Direct Red 80 Dye in Aqueous Solution—Kinetics, Isotherms, Thermodynamics, and Techno-Economic Analysis. Processes, 14(6), 968. https://doi.org/10.3390/pr14060968

