Sorption of Mercury in Batch and Fixed-Bed Column System on Hydrochar Obtained from Apple Pomace
Abstract
:1. Introduction
2. Materials and Methods
2.1. Materials
2.2. Methods
2.2.1. Preparation of Hydrochar
2.2.2. Spectrophotometric Determination of Mercury Concentration
2.2.3. Instrumental Analysis
2.2.4. Sorption in Batch System
Sorption Equilibrium
- sorption capacity in time “t” ,
- equilibrium sorption capacity ,
- initial mercury concentration ,
- mercury concentration in time “t” ,
- mercury concentration in equilibrium ,
- solution volume ,
- the mass of the bed used in the sorption process .
- Langmuir isotherm model
- Freundlich isotherm model
- Dubinin–Radushkevich isotherm model
- Temkin isotherm model
- Hill isotherm model
- Redlich–Peterson isotherm model
- Sips isotherm model
- Toth isotherm model
Sorption Kinetics
- Pseudo-first-order model
- Pseudo-second-order model
- Elovich model
- Intraparticle diffusion model
2.2.5. Sorption in Flow-Through Column System
Modelling of Continuous Adsorption Process
- —volumetric flow rate ;
- —column cross-sectional area ;
- —mercury ion concentration after time t.
- Bohart–Adams model
- Thomas model
- Yoon–Nelson model
- Clark model
- BDST model (bed—depth service—time)
- Yan model
3. Results and Discussion
3.1. Characterisation of Obtained Hydrochar
3.2. Adsorption Isotherm Models
3.3. Adsorption Kinetic Models
3.4. Fixed-Bed Column Modelling
4. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
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Model | Nonlinear Equation | Abbreviations |
---|---|---|
Langmuir | ||
Freundlich | n—adsorption intensity constant | |
Dubinin–Radushkevich | KDR—Dubinin–Radushkevich constant [ | |
Temkin | ||
Hill | ||
Redlich–Peterson | g—Redlich Peterson exponent | |
Sips | βS—Sips exponent | |
Toth | t—Toth heterogeneity factor |
Model | Equation | Abbreviations |
---|---|---|
Pseudo-first order | ||
Pseudo-second order | ||
Elovich | ||
Intraparticle diffusion (Weber–Morris) | The greater the 𝐼 constant, the greater the boundary layer effect. |
Model | Nonlinear Equation | Abbreviations |
---|---|---|
Bohart–Adams | C | |
Thomas | kTh—Thomas Q—flow rate | |
Yoon–Nelson | kYN—Yoon–Nelson | |
Clark | AC nF | |
BDST | kBDST—BDST rate constant N0—adsorption capacity | |
Yan | aY—Yan empirical parameter |
Model | Parameters | Result |
---|---|---|
Langmuir | 44.93 | |
5.613 | ||
0.9650 | ||
RMSE | 3.165 | |
Freundlich | 40.32 | |
2.791 | ||
0.9918 | ||
RMSE | 1.535 | |
Dubinin–Radushkevich | 0.02627 | |
40.31 | ||
0.8783 | ||
RMSE | 4.901 | |
Temkin | 60.52 | |
256.8 | ||
0.9415 | ||
RMSE | 3.398 | |
Hill | 1518 | |
0.3585 | ||
6.13 × 104 | ||
0.9835 | ||
RMSE | 2.171 | |
Redlich-Peterson | 3.31 × 106 | |
82090 | ||
G | 0.6417 | |
0.9835 | ||
RMSE | 2.171 | |
Sips | 40.32 | |
6.15 × 10−13 | ||
0.3583 | ||
0.9918 | ||
RMSE | 1.535 | |
Toth | 40.32 | |
1.13 × 10−11 | ||
1.558 | ||
0.9918 | ||
RMSE | 1.535 |
Model | Parameters | Results |
---|---|---|
Pseudo-first-order | 38.11 | |
0.5882 | ||
0.9789 | ||
RMSE | 2.105 | |
Pseudo-second-order | 40.40 | |
0.0255 | ||
0.9965 | ||
RMSE | 0.8600 | |
Elovich | 5040 | |
0.2697 | ||
0.9911 | ||
RMSE | 1.368 | |
Intraparticle diffusion | 0.1003 | |
27.88 | ||
0.9881 | ||
RMSE | 1.583 | |
Experimental data | 39.82 |
Source Material | Hydrothermal Process Conditions | Maximum Adsorption Capacity | Authors |
---|---|---|---|
Apple pomace | High-pressure hydrothermal reactor, 230 °C, 5 h, Solid:liquid ratio 1:8.75 | 39.8 mg/g for Hg2+ (batch) | This paper |
Rice straw | Microwave assisted process, 160–200 °C, 40–70 min, solid:liquid ratio 1:10 | 112.8 mg/g for Zn2+ 144.9 mg/g for Cu2+ 222.1 mg/g for Congo Red 174.0 mg/g for berberine hydrochloride 48.7 mg/g for 2-naphtol | [63] |
Palm kernel shells | High-pressure hydrothermal reactor, 200 °C, 4 h, solid:liquid ratio 1:5 | 13.2 mg/g for diclofenac | [64] |
Bamboo + PVA | Electric furnace, 200 °C, 24 h, solid:liquid ratio 1:5 | 259.0 mg/g for Methylene blue | [65] |
Rice straw | Tubular sealed reactor, 200 °C, 3 h, solid:liquid ratio 1:3 | 6.7 mg/g for Pb2+ 2.7 mg/g for Cu2+ | [66] |
Avocado seed | Hydrion Scientific reactor, 250 °C, 12 h, solid:liquid ratio 1.5:1 | 20.5 mg/g for Ni2+ 49.7 mg/g for Pb2+ 12.7 mg/g for Cu2+ | [67] |
Corn cob straw | Hydrothermal reactor, 200 °C, 30 min, solid:liquid ratio 1:6 | 207.6 mg/g to Zn2+ 56.1 mg/g to Cu2+ | [68] |
Model | Parameter | Results |
---|---|---|
Bohart-Adams | 0.6635 | |
31.25 | ||
R2 | 0.9710 | |
RMSE | 0.0579 | |
Thomas | 0.6660 | |
111.5 | ||
R2 | 0.9710 | |
RMSE | 0.0579 | |
Yoon–Nelson | 0.0643 | |
43.16 | ||
R2 | 0.9710 | |
RMSE | 0.0579 | |
Clark | 89.08 | |
0.0814 | ||
R2 | 0.9569 | |
RMSE | 0.0705 | |
BDST | 0.6636 | |
111.9 | ||
R2 | 0.9710 | |
RMSE | 0.0579 | |
Yan | 2.647 | |
102.8 | ||
R2 | 0.9976 | |
RMSE | 0.0165 |
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Szostak, K.; Hodacka, G.; Długosz, O.; Pulit-Prociak, J.; Banach, M. Sorption of Mercury in Batch and Fixed-Bed Column System on Hydrochar Obtained from Apple Pomace. Processes 2022, 10, 2114. https://doi.org/10.3390/pr10102114
Szostak K, Hodacka G, Długosz O, Pulit-Prociak J, Banach M. Sorption of Mercury in Batch and Fixed-Bed Column System on Hydrochar Obtained from Apple Pomace. Processes. 2022; 10(10):2114. https://doi.org/10.3390/pr10102114
Chicago/Turabian StyleSzostak, Krzysztof, Gabriela Hodacka, Olga Długosz, Jolanta Pulit-Prociak, and Marcin Banach. 2022. "Sorption of Mercury in Batch and Fixed-Bed Column System on Hydrochar Obtained from Apple Pomace" Processes 10, no. 10: 2114. https://doi.org/10.3390/pr10102114