Co-Hydrothermal Carbonization of Cacao (Theobroma cacao) Shells with LDPE: Hydrochar Characterization, Comparative Pyrolytic Kinetic Study, and Thermodynamic Property Determination
Abstract
1. Introduction
2. Materials and Methods
2.1. Sample Preparation
2.2. Co-Hydrothermal Carbonization
2.3. Experimental Design and Statistical Analysis
2.4. Optimization of Co-HTC Experiment Parameters
2.5. Characterization of Optimized Hydrochar
2.6. Thermal Analysis via Pyrolysis of Hydrochar Fractions
3. Results and Discussion
3.1. Co-HTC Results of CS-LDPE Samples and Statistical Analysis
3.2. Optimization and Validation of Co-HTC Process Conditions
3.3. Characterization of Optimum Hydrochar Fractions
3.3.1. Fuel Analysis of Optimum Hydrochar
3.3.2. Functional Group Analysis of Hydrochar Fractions
3.3.3. Surface Morphology
3.3.4. Elemental Analysis
3.4. Thermal Degradation Analysis of Optimized Hydrochar
3.4.1. Thermal Decomposition Behavior
3.4.2. Kinetic and Thermal Parameters
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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| Reaction Parameter | −1 Level | +1 Level | Response |
|---|---|---|---|
| Reaction Temperature | 200 °C | 240 °C | Mass Yield (%) |
| Residence Time | 30 min | 60 min |
| Mechanism | g(α) | Code | |
|---|---|---|---|
| Power Law | n = 1/2 | α1/2 | P2 |
| n = 1/3 | α1/3 | P3 | |
| n = 1/4 | α1/4 | P4 | |
| Chemical Reactions | First order | −ln(1 − α) | R1 |
| One-and-a-half order | 2[(1 − α)−1.5 − 1] | R1.5 | |
| Second order | [1/(1 − α)] − 1 | R2 | |
| Diffusion Reaction | One-dimensional diffusion | α2 | D1 |
| Two-dimensional diffusion | (1 − α) − ln(1 − α) + α | D2 | |
| Three-dimensional diffusion—Jander | [1 − (1 − α)1/3]2 | D3 | |
| Three-dimensional diffusion—Gistling–Brounsthein | (1 − ) − (1 − α)2/3 | D4 | |
| Phase Interfacial Reaction | One dimension | α | P1 |
| Two dimensions (Cylindrical) | 1 − (1 − α)1/2 | C1 | |
| Three dimensions (Sphere) | 1 − (1 − α)1/3 | C2 | |
| Nucleation and Growth Reaction | Two-dimensional | [−ln(1 − α)]1/2 | A2 |
| Three-dimensional | [−ln(1 − α)]1/3 | A3 | |
| 2/3 Avrami Erofeev | [−ln(1 − α)]2/3 | A4 | |
| Temperature, °C | Residence Time, min | Mass Yield, % |
|---|---|---|
| 240.0 | 30.00 | 45.72 |
| 220.0 | 45.00 | 49.09 |
| 200.0 | 60.00 | 53.22 |
| 248.3 | 45.00 | 37.49 |
| 220.0 | 45.00 | 48.55 |
| 220.0 | 45.00 | 48.67 |
| 240.0 | 60.00 | 38.82 |
| 220.0 | 45.00 | 46.69 |
| 220.0 | 66.21 | 46.11 |
| 220.0 | 23.79 | 46.21 |
| 191.7 | 45.00 | 49.80 |
| 220.0 | 45.00 | 46.92 |
| 200.0 | 30.00 | 45.03 |
| Source | Sum of Squares | df | Mean Square | F-Value | p-Value |
|---|---|---|---|---|---|
| Model | 206.67 | 5 | 41.33 | 35.88 | <0.0001 |
| A-Temperature | 121.09 | 1 | 121.09 | 105.10 | <0.0001 |
| B-Residence Time | 0.16322 | 1 | 0.1632 | 0.1417 | 0.7178 |
| AB | 56.94 | 1 | 56.94 | 49.43 | 0.0002 |
| A2 | 27.00 | 1 | 27.00 | 23.44 | 0.0019 |
| B2 | 3.53 | 1 | 3.53 | 3.07 | 0.1233 |
| Residual | 8.06 | 7 | 1.15 | ||
| Lack-of-Fit | 3.23 | 3 | 1.08 | 0.8885 | 0.5195 |
| Pure Error | 4.84 | 4 | 1.21 | ||
| Cor Total | 214.73 | 12 |
| Element | Ultimate Analysis | Proximate Analysis | HHV (MJ/kg) | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| C (%) | H (%) | O (%) | N (%) | S (%) | M (%) | FC (%) | VM (%) | Ash (%) | ||
| Cacao Shell | 39.87 | 5.96 | 45.33 | 0.74 | 0.13 | 12.66 | 18.42 | 60.95 | 7.97 | 16.20 |
| Optimum Hydrochar | 56.17 | 5.02 | 31.84 | 6.97 | - | 2.52 | 31.40 | 60.04 | 6.04 | 21.11 |
| LDPE | 93.76 | 5.74 | 0.50 | - | - | 1.20 | - | 98.30 | 0.50 | 40.60 |
| Element | C (%) | S (%) | K (%) | Ca (%) | Zn (%) |
|---|---|---|---|---|---|
| Undersized Hydrochar | 83.79 | - | 9.08 | 2.74 | 4.39 |
| Oversized Hydrochar | 90.40 | - | - | 9.60 | - |
| Oversized LDPE | 99.19 | 0.80 | 1.28 | - | - |
| Sample | Ea (kJ/mol) | Reaction Model | R2 (%) |
|---|---|---|---|
| Undersized Hydrochar | 43.085 | R1 | 92.347 |
| Oversized Hydrochar | 38.484 | R1 | 96.931 |
| Oversized LDPE | 120.896 | R1 | 98.196 |
| Sample | Tmax | |||||
|---|---|---|---|---|---|---|
| Undersized | 334.61 | 43.085 | 38.033 | 1.826 × 105 | −237.931 | 769.311 |
| Oversized | 314.50 | 38.484 | 33.600 | 1.774 × 105 | −244.830 | 324.758 |
| Oversized LDPE | 518.06 | 120.896 | 114.319 | 2.284 × 105 | −144.218 | 7.87 × 107 |
| Samples | Tmax (°C) | Ea (kJ/mol) |
|---|---|---|
| Oversized LDPE | 518.06 | 128.85 |
| Raw LDPE [19] | 519.00 | 242.90 |
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Abesamis, M.F.A.; Dy Pico, A.P.V.; Marilag, R.M.E.; Servano, J.P.; Ibrahim, Q.M.M.; Oguis, C.O.; Bello, A.J.Q.; Uy, K.M.U.; Tumongha, J.M.B.; Guerrero, R.D.; et al. Co-Hydrothermal Carbonization of Cacao (Theobroma cacao) Shells with LDPE: Hydrochar Characterization, Comparative Pyrolytic Kinetic Study, and Thermodynamic Property Determination. Fuels 2026, 7, 27. https://doi.org/10.3390/fuels7020027
Abesamis MFA, Dy Pico APV, Marilag RME, Servano JP, Ibrahim QMM, Oguis CO, Bello AJQ, Uy KMU, Tumongha JMB, Guerrero RD, et al. Co-Hydrothermal Carbonization of Cacao (Theobroma cacao) Shells with LDPE: Hydrochar Characterization, Comparative Pyrolytic Kinetic Study, and Thermodynamic Property Determination. Fuels. 2026; 7(2):27. https://doi.org/10.3390/fuels7020027
Chicago/Turabian StyleAbesamis, Mariane Fe A., Alec Paolo V. Dy Pico, Rosanne May E. Marilag, Javinel P. Servano, Queenee Mosera M. Ibrahim, Cymae O. Oguis, Alexander Jr. Q. Bello, Kenth Michael U. Uy, Joevin Mar B. Tumongha, Rodel D. Guerrero, and et al. 2026. "Co-Hydrothermal Carbonization of Cacao (Theobroma cacao) Shells with LDPE: Hydrochar Characterization, Comparative Pyrolytic Kinetic Study, and Thermodynamic Property Determination" Fuels 7, no. 2: 27. https://doi.org/10.3390/fuels7020027
APA StyleAbesamis, M. F. A., Dy Pico, A. P. V., Marilag, R. M. E., Servano, J. P., Ibrahim, Q. M. M., Oguis, C. O., Bello, A. J. Q., Uy, K. M. U., Tumongha, J. M. B., Guerrero, R. D., Abarca, R. R. M., & Mosqueda, A. O. (2026). Co-Hydrothermal Carbonization of Cacao (Theobroma cacao) Shells with LDPE: Hydrochar Characterization, Comparative Pyrolytic Kinetic Study, and Thermodynamic Property Determination. Fuels, 7(2), 27. https://doi.org/10.3390/fuels7020027

