Adsorption Isotherms of PP, PVC, PA6, LDPE, and HDPE Microplastic Particles, and Their Blend on a Hydrophobic Bio-Substrate at Three Temperatures and Two Environments
Abstract
1. Introduction
2. Materials and Methods
2.1. Bio-Substrate: Cattail Fluff
2.2. Microplastic Materials
2.3. Binding Environment
2.4. Adsorption Experiments
2.4.1. Experimental Procedure
2.4.2. Experimental Matrix
2.4.3. Adsorption Isotherm Models
2.4.4. Statistical Analysis
| Langmuir adsorption isotherm model |
where qe is the mass of solute uptake per unit mass of adsorbent at equilibrium [mg/g], Ce is the equilibrium concentration of the solute [mg/L], qMax is the maximum adsorption capacity [mg/g], and KL is the Langmuir adsorption constant [L/mg]. Monolayer adsorption. Homogeneous adsorption surface (e.g., uniform adsorption sites), thus constant adsorption energy. No interaction between adsorbate molecules adsorbed on neighboring sites. No steric hindrance and lateral interaction between the adsorbed molecules. Reversible chemical reaction [18,19,21,22,25]. |
| Freundlich adsorption isotherm model |
where qe is the mass of solute uptake per unit mass of adsorbent at equilibrium [mg/g], Ce is the equilibrium concentration of the solute [mg/L], Kf is the Freundlich adsorption constant [L/mg], and n is the Freundlich exponent related to surface heterogeneity and adsorption intensity. Applies to reversible non-ideal adsorption process, multilayer adsorption, physical adsorption process, heterogeneous adsorption systems(e.g., different surface energies) [18,19,22,25]. |
| Complete Temkin adsorption isotherm model |
where qe is the mass of solute uptake per unit mass of the adsorbent at equilibrium [mg/g], qT is the surface capacity for the adsorption/unit binding energy [(mg/g)/(J/mol)], bT is heat of adsorption [J/mol], Ce is the equilibrium concentration of the solute [mg/L], KT is the Temkin adsorption constant [L/mg], K1 is the equilibrium binding constant [L/mg], R is the universal gas constant [J/mol·K], and T is the temperature [K]. Applies to uniform distribution of heterogeneous binding sites on the adsorbant surface (e.g., the binding energy varies linearly over these different binding sites) and multilayer adsorption. This isotherm model accounts for the effect of adsorbate/adsorbate interactions on the adsorption process and the increase of surface coverage leads to a linear decrease in the heat of adsorption [18,19,21,22,25,49,50]. |
| Dubinin–Radushkevich (D–R) adsorption isotherm model |
where qe is the mass of solute uptake per unit mass of adsorbent at equilibrium [mg/g], qMax is the maximum sorption capacity [mg/g], β is a constant related to the adsorption energy [mol2/J2], ε is the adsorption potential [J/mol], R is the universal gas constant [J/mol·K], T is the absolute temperature [K], Co is the standard molar concentration of the solute [1 mol/L], Ce is the solute concentration at equilibrium [mol/L], and E is the mean free energy of adsorption [J/mol]. Applies to adsorption experimental data at different temperatures, heterogenous adsorption systems, multilayer adsorption, and well-suited for physical adsorption processes. The term E is defined as “the free energy change when 1 mol of adsorbate is transferred to the solid surface from infinity from the solution” [19]. Therefore, E is a measure of adsorption strength between the adsorbent and adsorbate [18,19,21,22,25,51]. |
| Redlich–Peterson (R–P) adsorption isotherm model |
where qe is the mass of solute uptake per unit mass of adsorbent at equilibrium [mg/g], Ce is the equilibrium concentration of the solute [mg/L], KR is the Redlich–Peterson adsorption constant [L/g], aR is an R–P constant [L/mg], and bR is an exponent that varies between 0 and 1 [dimensionless]. Applies to homogeneous and heterogeneous adsorption systems. This is an empirical hybrid model of the Langmuir and Freundlich adsorption isotherm models [18,19,21,22,25]. |
| Toth adsorption isotherm model |
where qe is the mass of adsorbate per unit mass of the adsorbent at equilibrium [mg/g], qMax is the maximum adsorption capacity [mg/g], Ce is the equilibrium concentration of the solute [mg/L], KT is the Toth adsorption constant [L/mg], and n is an empirical parameter [dimensionless]. Applies to heterogeneous adsorption systems. This isotherm model is based on quasi-gaussian energy distribution model [18,19,21,22,25]. |
| Sips adsorption isotherm model |
where qe is the adsorbate uptake per unit mass of the adsorbent at equilibrium [mg/g], qMax is the maximum adsorption capacity [mg/g], KS is the Sips adsorption constant [L/mg], Ce is the equilibrium concentration of the solute [mg/L], and n is the Sips isotherm exponent [dimensionless]. Applies to homogeneous and heterogeneous adsorption systems. This is a hybrid model that combines the Freundlich and Langmuir adsorption isotherms [18,19,21,22,25]. |
3. Results
3.1. Bio-Substrate: Cattail Fluff Analysis
3.1.1. Contact Angle
3.1.2. Thermogravimetric Analysis (TGA)
3.2. Microplastic Particle (MPP) FTIR Analysis
3.3. Adsorption of Microplastic Particle (MPP)/Adsorption Isotherms
3.3.1. Polypropylene (PP) Adsorption Isotherms
3.3.2. Polyvinylchloride (PVC) Adsorption Isotherms
3.3.3. PA6 Adsorption Isotherm
3.3.4. Low-Density Polyethylene (LDPE) Adsorption Isotherm
3.3.5. High-Density Polyethylene (HDPE) Adsorption Isotherm
3.3.6. Adsoprtion Isotherm for Mixture of 5 Polymers (M5Poly)
4. Discussion
4.1. Hydrophobic Interactions: Effect of Temperature
4.2. Hydrophobic Interactions: Effect of Binding Environment Composition
4.3. Isotherm Adsorption Curve
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
- Lee, Y.K.; Hur, J. Adsorption of microplastic-derived organic matter onto minerals. Water Res. 2020, 187, 116426. [Google Scholar] [CrossRef] [Scilit] [PubMed]
- Liu, P.; Wu, L.; Guo, Y.; Huang, X.; Guo, Z. High crystalline LDHs with strong adsorption properties effectively remove oil and micro-nano plastics. J. Clean. Prod. 2024, 437, 140628. [Google Scholar] [CrossRef] [Scilit]
- Ali, F.; Ahmad, F.; Salam, D.A. Adsorption behavior of crude oil hydrocarbons on polyethylene microplastics in batch experiments. Mar. Pollut. Bull. 2025, 215, 117832. [Google Scholar] [CrossRef] [Scilit]
- Agboola, O.D.; Benson, N.U. Physisorption and Chemisorption Mechanisms Influencing Micro (Nano) Plastics-Organic Chemical Contaminants Interactions: A Review. Front. Environ. Sci. 2021, 9, 678574. [Google Scholar] [CrossRef] [Scilit]
- Zhao, L.; Rong, L.; Xu, J.; Lian, J.; Wang, L.; Sun, H. Sorption of five organic compounds by polar and nonpolar microplastics. Chemosphere 2020, 257, 127206. [Google Scholar] [CrossRef] [Scilit]
- Liu, F.; Zhang, D.; Ma, Y.; Jing, M.; Li, G.; Yang, S. Sorption behavior of oxytetracycline on microplastics and the influence of environmental factors in groundwater: Experimental investigation and molecular dynamics simulation. J. Contam. Hydrol. 2025, 269, 104489. [Google Scholar] [CrossRef] [Scilit]
- Funari, R.A.; Frescura, L.M.; De Menezes, B.B.; Bastos, A.F.D.M.; Da Rosa, M.B. Adsorption of naphthalene and its derivatives onto high-density polyethylene microplastic: Computational, isotherm, thermodynamic, and kinetic study. Environ. Pollut. 2023, 318, 120919. [Google Scholar] [CrossRef] [Scilit]
- Zhang, J.; Zhan, S.; Zhong, L.B.; Wang, X.; Qiu, Z.; Zheng, Y.M. Adsorption of typical natural organic matter on microplastics in aqueous solution: Kinetics, isotherm, influence factors and mechanism. J. Hazard. Mater. 2023, 443, 130130. [Google Scholar] [CrossRef] [Scilit]
- Huang, Z.; Bu, J.; Wang, H. Application of two modified kaolin materials in removing micro-plastics from water. J. Mater. Cycles Waste Manag. 2022, 24, 1460–1475. [Google Scholar] [CrossRef] [Scilit]
- Wang, B.; Liu, W.; Zhang, M. Application of carbon-based adsorbents in the remediation of micro- and nanoplastics. J. Environ. Manag. 2024, 349, 119522. [Google Scholar] [CrossRef] [Scilit] [PubMed]
- Ganesan, M.; Nallathambi, G. Functionalized natural fibre composite filter for the removal of microplastics and heavy metal ions from water. Int. J. Environ. Sci. Technol. 2024, 21, 2747–2764. [Google Scholar] [CrossRef] [Scilit]
- Zhang, Y.; Ni, F.; He, J.; Shen, F.; Deng, S.; Tian, D.; Zhang, Y.; Liu, Y.; Chen, C.; Zou, J. Mechanistic insight into different adsorption of norfloxacin on microplastics in simulated natural water and real surface water. Environ. Pollut. 2021, 284, 117537. [Google Scholar] [CrossRef] [Scilit]
- Duan, Y.; Sun, S.Y.; Zhao, J.; Yuan, H. Microplastics affect the removal of dye in textile wastewater: Adsorption capacity and its effect on coagulation behavior. Sep. Purif. Technol. 2025, 359, 130505. [Google Scholar] [CrossRef] [Scilit]
- Li, J.; Zhou, Y.; Liu, W.; Zhang, M. Molecular dynamics simulation of microplastics adsorption mechanisms on balsa biochar. Sep. Purif. Technol. 2026, 383, 136214. [Google Scholar] [CrossRef] [Scilit]
- Laca, A.; Patiño, Y.; Sánchez-Condado, A.; Sol, D.; Laca, A.; Díaz, M. Performance of activated carbon for polypropylene microplastic removal in wastewater. Sustain. Chem. Environ. 2025, 9, 100211. [Google Scholar] [CrossRef] [Scilit]
- Bhagat, K.; Barrios, A.C.; Rajwade, K.; Kumar, A.; Oswald, J.; Apul, O.; Perreault, F. Aging of microplastics increases their adsorption affinity towards organic contaminants. Chemosphere 2022, 298, 134238. [Google Scholar] [CrossRef] [Scilit] [PubMed]
- Chen, Y.; Kang, K.; Guo, L.; Kang, J.; Qi, H. Facile synthesis of functional holocellulose fibers for removal of micro-/nanoparticles of plastics from wastewater. Chem. Eng. J. 2023, 457, 141251. [Google Scholar] [CrossRef] [Scilit]
- Ahmed, H.R.; Kayani, K.F.; Ealias, A.M.; Aziz, K.H.H. A Comprehensive Review of Forty Adsorption Isotherm Models: An In-depth Analysis of Ten Statistical Error Measures. Water Air Soil Pollut. 2025, 236, 346. [Google Scholar] [CrossRef] [Scilit]
- Hu, Q.; Lan, R.; He, L.; Liu, H.; Pei, X. A critical review of adsorption isotherm models for aqueous contaminants: Curve characteristics, site energy distribution and common controversies. J. Environ. Manag. 2023, 329, 117104. [Google Scholar] [CrossRef] [Scilit]
- Kumar, A.; Sidharth, S.; Kandasubramanian, B. A review on algal biosorbents for heavy metal remediation with different adsorption isotherm models. Environ. Sci. Pollut. Res. 2023, 30, 39474–39493. [Google Scholar] [CrossRef] [Scilit]
- Mozaffari Majd, M.; Kordzadeh-Kermani, V.; Ghalandari, V.; Askari, A.; Sillanpää, M. Adsorption isotherm models: A comprehensive and systematic review (2010−2020). Sci. Total Environ. 2022, 812, 151334. [Google Scholar] [CrossRef] [Scilit]
- Wang, J.; Guo, X. Adsorption isotherm models: Classification, physical meaning, application and solving method. Chemosphere 2020, 258, 127279. [Google Scholar] [CrossRef] [Scilit]
- Siperstein, F.R.; Avendaño, C.; Ortiz, J.J.; Gil-Villegas, A. Analytic expressions for the isosteric heat of adsorption from adsorption isotherm models and two-dimensional SAFT-VR equation of state. AIChE J. 2021, 67, e17186. [Google Scholar] [CrossRef] [Scilit]
- Isiuku, B.O.; Okonkwo, P.C.; Emeagwara, C.D. Batch adsorption isotherm models applied in single and multicomponent adsorption systems—A review. J. Dispers. Sci. Technol. 2021, 42, 1879–1897. [Google Scholar] [CrossRef] [Scilit]
- Al-Ghouti, M.A.; Da’ana, D.A. Guidelines for the use and interpretation of adsorption isotherm models: A review. J. Hazard. Mater. 2020, 393, 122383. [Google Scholar] [CrossRef] [Scilit] [PubMed]
- Pinto, F.R.; Marcellos, C.F.C.; Manske, C.; Gomes Barreto, A., Jr. Statistical analysis of parameters and adsorption isotherm models. Environ. Sci. Pollut. Res. 2024, 31, 53729–53742. [Google Scholar] [CrossRef] [Scilit]
- Salari, A.; Ostad Movahed, S. The effect of temperature on the adsorption of the sodium lignosulphonate (SL) on the surface of the selected plastics as a potential solution for the plastics waste management. Polym. Polym. Compos. 2023, 31, 09673911231181850. [Google Scholar] [CrossRef] [Scilit]
- Petkovska, M. Discrimination between adsorption isotherm models based on nonlinear frequency response results. Adsorption 2014, 20, 385–395. [Google Scholar] [CrossRef] [Scilit]
- Gescher, K.; Deters, A.M. Typha latifolia L. fruit polysaccharides induce the differentiation and stimulate the proliferation of human keratinocytes in vitro. J. Ethnopharmacol. 2011, 137, 352–358. [Google Scholar] [CrossRef] [Scilit]
- Schuck, L. Seeds of a Sustainable Transition? Investigating the Properties of Cattail Seed Hair as Textile Fillings and Their Potential for Peatland Management Shifts in Finland. Master’s Thesis, Aalto University, Aalto, Finland, 2022. [Google Scholar]
- Larson, D.J. Cat-tails, Insects and Cows. Blue Jay 2021, 79, 9–15. [Google Scholar] [CrossRef] [Scilit]
- Joiner, S. Plant Hybridization Alters Arthropod Community Structure: Patterns of Diversity and Abundance on Parental and Hybrid Cattails. Doctoral Thesis, Cornell University, Ithaca, NY, USA, 2013. [Google Scholar]
- Typha latifolia L. Available online: https://journals.kpu.ca/index.php/LCDP/article/view/372/72 (accessed on 2 December 2025).
- Banik, H. Selected Properties of Cattail Fibre for Biomedical Applications. Master’s Thesis, University of Manitoba, Winnipeg, MB, Canada, 2022. [Google Scholar]
- Mitich, L.M. Common Cattail, Typha latifolia L. Weed Technol. 2000, 14, 446–450. [Google Scholar] [CrossRef] [Scilit]
- The Incredibly Usable Cattail. Available online: https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=1418&context=ebl (accessed on 2 December 2025).
- Xiao, N.; Zhang, Y.; Xia, H.; Cheng, B.; Zhang, X.; Yang, C. Typha Fluff as a Sustainable Thermal Filling Material: A comparative Study with Down and Polyester Fibre. Text. Leather Rev. 2025, 8, 744–764. [Google Scholar] [CrossRef] [Scilit]
- Southern Cattail. Available online: https://plants.usda.gov/DocumentLibrary/plantguide/pdf/cs_tydo.pdf (accessed on 2 December 2025).
- Thieret, J.W.; Luken, J.O. The Typhaceae in The Southeastern United States. Harv. Pap. Bot. 1996, 1, 27–56. [Google Scholar]
- Hammond-Kaarremaa, L. Threads, twist and fibre: Looking at Coast Salish Textiles. In Proceedings of the Textile Society of America Symposium Proceedings, Vancouver, BC, Canada, 19–23 September 2018. [Google Scholar] [CrossRef] [Scilit]
- Stevens, M.L. Ethnoecology of Selected California Wetland Plants. Fremontia 2004, 32, 7–15. [Google Scholar]
- Gorbachev, S.; Gorovykh, O.G.; Mani, A.; Dixit, A.; Alzhanov, B.A.; Yan, J. Biotechnological breakthrough to cattail fiber as an ultra-efficient natural oil sorbent. Sci. Rep. 2025, 15, 24688. [Google Scholar] [CrossRef] [Scilit] [PubMed]
- Bhagwat, K.P.; Rodrigue, D.; Romero-Zerón, L. Effective Removal of Microplastic Particles from Wastewater Using Hydrophobic Bio-Substrates. Pollutants 2024, 4, 231–250. [Google Scholar] [CrossRef] [Scilit]
- Fried, J.R. Polymer Science & Technology, 3rd ed.; Pearson Education, Inc.: Montreal, QC, Canada, 2014; pp. 397–689. [Google Scholar]
- Ojha, S.S.; Afshari, M.; Kotek, R.; Gorga, R.E. Morphology of electrospun nylon-6 nanofibers as a function of molecular weight and processing parameters. J. Appl. Polym. Sci. 2008, 108, 308–319. [Google Scholar] [CrossRef] [Scilit]
- Pucci, A.; Ruggeri, G.; Moretto, L.; Bronco, S. Effect of the structure of the polymer matrix on the terthiophene chromophore dispersion in dichroic polyethylene films. Polym. Adv. Technol. 2002, 13, 737–743. [Google Scholar] [CrossRef] [Scilit]
- Figure 1. Simplified Schematic of the Experimental Procedure. [Created in BioRender. Romero-Zeron, L.]. 2025. Available online: https://BioRender.com/embgznq (accessed on 29 March 2026).
- Shen, Q.; Yang, R. Thompson-Tau Outlier Detection Method for Detecting Abnormal Data of Listed Pharmaceutical Companies in China. In Proceedings of the 2015 8th International Symposium on Computational Intelligence and Design, Hangzhou, China, 12–13 December 2015; pp. 379–382. [Google Scholar] [CrossRef] [Scilit]
- Chu, K.H. Revisiting the Temkin Isotherm: Dimensional Inconsistency and Approximate Forms. Ind. Eng. Chem. Res. 2021, 60, 13140–13147. [Google Scholar] [CrossRef] [Scilit]
- Mudhoo, A. Unveiling new insights: Revised Temkin adsorption isotherm parameters from fresh curve fits in adsorption studies. Chem. Eng. Sci. 2025, 311, 121585. [Google Scholar] [CrossRef] [Scilit]
- Do, D.D. Adsorption Analysis: Equilibria and Kinetics: (With CD Containing Computer Matlab Programs); Imperial College Press and World Scientific Publishing CO.: London, UK, 1998; Volume 2, p. 111. [Google Scholar] [CrossRef]
- Ma, M.; Hill, R.M. Superhydrophobic surfaces. Curr. Opin. Colloid Interface Sci. 2006, 11, 193–202. [Google Scholar] [CrossRef] [Scilit]
- Cao, S.; Dong, T.; Xu, G.; Wang, F. Study on structure and wetting characteristic of cattail fibers as natural materials for oil sorption. Environ. Technol. 2026, 37, 3193–3199. [Google Scholar] [CrossRef] [Scilit]
- Al-Hakkak, J.S.; Barbooti, M.M. Thermogravimetric study on typha (Typha angustifolia L.). J. Therm. Anal. 1989, 35, 815–821. [Google Scholar] [CrossRef] [Scilit]
- Xiao, Y.; Xiao, Y.; Hao, J.; Wu, X.; Liu, T.; Zhang, H.; Tang, N.; Wang, X. Facile synthesis of curly conductive polyaniline composite fibers using cattail fluff as substrate. Polym. Bull. 2020, 77, 3101–3109. [Google Scholar] [CrossRef] [Scilit]
- Pereira Junio, R.F.; L. De Mendonça Neuba, L.; Souza, A.T.; Pereira, A.C.; Cassiano Nascimento, L.F.; Monteiro, S.N. Thermochemical and structural characterization of promising carnauba novel leaf fiber (Copernicia prunifera). J. Mater. Res. Technol. 2022, 18, 4714–4723. [Google Scholar] [CrossRef] [Scilit]
- Nanda, J.; Das, S.N.; Mohapatra, A. Compressive Characterization of Date Palm Leaf Fiber. J. Nat. Fibers 2022, 19, 9813–9826. [Google Scholar] [CrossRef] [Scilit]
- Coates, J. Interpretation of Infrared Spectra, A Practical Approach. In Encyclopedia of Analytical Chemistry, 1st ed.; Meyers, R.A., Ed.; Wiley: Hoboken, NJ, USA, 2000. [Google Scholar] [CrossRef] [Scilit]
- Smith, B.C. Infrared Spectroscopy of Polymers, XI: Introduction to Organic Nitrogen Polymers. Spectroscopy 2023, 38, 14–18. [Google Scholar] [CrossRef] [Scilit]
- Barbeş, L.; Rădulescu, C.; Stihi, C. ATR-FTIR spectrometry characterization of polymeric materials. Rom. Rep. Phys. 2014, 66, 765–777. [Google Scholar]
- Klempová, S.; Oravec, M.; Vizárová, K. Analysis of thermally and UV–Vis aged plasticized PVC using UV–Vis, ATR-FTIR and Raman spectroscopy. Spectrochim. Acta A Mol. Biomol. Spectrosc. 2023, 294, 122541. [Google Scholar] [CrossRef] [Scilit]
- Gulmine, J.V.; Janissek, P.R.; Heise, H.M.; Akcelrud, L. Polyethylene characterization by FTIR. Polym. Test. 2002, 21, 557–563. [Google Scholar] [CrossRef] [Scilit]
- Inglezakis, V.J.; Zorpas, A.A. Heat of adsorption, adsorption energy and activation energy in adsorption and ion exchange systems. Desalination Water Treat. 2012, 39, 149–157. [Google Scholar] [CrossRef] [Scilit]
- Surface Energy: Formula and Definition. Available online: https://www.ossila.com/pages/a-guide-to-surface-energy#:~:text=Generally%2C%20a%20surface%20with%20a,of%20interacting%20with%20the%20surface (accessed on 22 January 2026).
- Sun, Q.; Fu, Y.; Wang, W. Temperature effects on hydrophobic interactions: Implications for protein unfolding. Chem. Phys. 2022, 559, 111550. [Google Scholar] [CrossRef] [Scilit]
- Kauzmann, W. Some Factors in the Interpretation of Protein Denaturation. In Advances in Protein Chemistry; Elsevier: New York, NY, USA, 1959; Volume 14, pp. 1–63. [Google Scholar] [CrossRef] [Scilit]
- Meyer, E.E.; Rosenberg, K.J.; Israelachvili, J. Recent progress in understanding hydrophobic interactions. Proc. Natl. Acad. Sci. USA 2006, 103, 15739–15746. [Google Scholar] [CrossRef] [Scilit]
- Balsamo, M.; Mistretta, M.C.; Scaffaro, R. Green production of bioinspired reusable PP fluff for true-to-life microplastics removal from water. Sustain. Mater. Technol. 2025, 46, e01679. [Google Scholar] [CrossRef] [Scilit]
- Zangi, R.; Hagen, M.; Berne, B.J. Effect of Ions on the Hydrophobic Interaction between Two Plates. J. Am. Chem. Soc. 2007, 129, 4678–4686. [Google Scholar] [CrossRef] [Scilit]
- Al Harraq, A.; Bharti, B. Microplastics through the Lens of Colloid Science. ACS Environ. Au 2022, 2, 3–10. [Google Scholar] [CrossRef] [Scilit]
- Li, S.; Yang, M.; Wang, H.; Jiang, Y. Adsorption of microplastics on aquifer media: Effects of the action time, initial concentration, ionic strength, ionic types and dissolved organic matter. Environ. Pollut. 2022, 308, 119482. [Google Scholar] [CrossRef] [Scilit]
- Chiou, C.C.T.; Manes, M. Application of the Polanyi adsorption potential theory to adsorption from solution on activated carbon. IV. Steric factors, as illustrated by the adsorption of planar and octahedral metal acetylacetonates. J. Phys. Chem. 1973, 77, 809–813. [Google Scholar] [CrossRef] [Scilit]
- Green, M. Adsorption of Mixed Liquids and Solids from Water Solution onto Activated Carbon. Ph.D. Dissertation, Kent State University, Kent, OH, USA, 1981. [Google Scholar]
- Beneš, P.; Paulenová, M. Surface charge and adsorption properties of polyethylene in aqueous solutions of inorganic electrolytes: II. Radiochemical investigation. Colloid Polym. Sci. 1974, 252, 472–477. [Google Scholar] [CrossRef] [Scilit]
- Beneš, P.; Paulenová, M. Surface charge and adsorption properties of polyethylene in aqueous solutions of inorganic electrolytes: I. Streaming potential measurement. Kolloid-Z. Z. Polym. 1973, 251, 766–771. [Google Scholar] [CrossRef] [Scilit]
- Aragoneses, A.; Tamayo, I.; Lebrato, A.; Cañadas, J.C.; Diego, J.A.; Arencón, D.; Belana, J. Effect of humidity in charge formation and transport in LDPE. J. Electrost. 2013, 71, 611–617. [Google Scholar] [CrossRef] [Scilit]
- Ziari, Z.; Sahli, S.; Bellel, A. Surface potential decay of low-density polyethylene (LDPE) films under different corona discharge conditions. Moroc. J. Condens. Matter 2010, 12, 218–222. [Google Scholar]
- Yuan, S.; Yang, X.; Zhang, N.; Zhang, J.; Yuan, S.; Wang, Z. Molecular insights into the adsorption and penetration of oil droplets on hydrophobic membrane in membrane distillation. Water Res. 2024, 253, 121329. [Google Scholar] [CrossRef] [Scilit]
- Matsuno, A.; Kawamoto, K. Assessment of Dispersed Oil Sorption in Oily Wastewater onto Hydrophobized/Oleophilized Autoclaved Aerated Concrete (AAC) Grains. Environments 2023, 10, 92. [Google Scholar] [CrossRef] [Scilit]
- Giles, C.H.; Smith, D.; Huitson, A. A general treatment and classification of the solute adsorption isotherm. I. Theoretical. J. Colloid Interface Sci. 1974, 47, 755–765. [Google Scholar] [CrossRef] [Scilit]
- Giles, C.H.; MacEwans, T.H.; Nakhwa, N.; Smith, D. Studies in Adsorption. Part XI.* A System of Classification of Solution Adsorption Isotherms, and its Use in Diagnosis of Adsorption Mechanisms and in Measurement of Specific Surface Areas of Solids. J. Chem. Soc. 1960, 786, 3973–3993. [Google Scholar] [CrossRef] [Scilit]
- Oscik, J. Adsorption; Polish Scientific Publishers: Warszawa, Poland, 1982. [Google Scholar]




















| Plastic Material | Weight Average Diameter [μm] | Contact Angle [°] | Average Molecular Weight [g/mol] |
|---|---|---|---|
| PP | 284 | 111.1 ± 4.2 | 30,000 [44] |
| PVC | 127 | 121.0 ± 0.9 | 87,500 [44] |
| PA6 | 298 | 68.5 ± 5.5 | 47,667 [45] |
| LDPE | 292 | 102.5 ± 2.4 | 23,000 [44] |
| HDPE | 299 | 104.1 ± 1.9 | 145,000 [46] |
| Salts | Content (wt.%) |
|---|---|
| NaCl | 1.72 |
| MgCl2 | 0.04 |
| CaCl2 | 0.33 |
| Na2SO4 | 0.01 |
| Water | 97.9 |
| Total | 100 |
| Binding Environment: DWT2 or SPW Adsorption Time: 24 h | ||||
|---|---|---|---|---|
| MPPs Solution [mg/L] | T = 30 °C | T = 40 °C | T = 50 °C | |
| MPPs Materials | 1000 | ✓ | ✓ | ✓ |
| 2000 | ✓ | ✓ | ✓ | |
| 3000 | ✓ | ✓ | ✓ | |
| 4000 | ✓ | ✓ | ✓ | |
| 5000 | ✓ | ✓ | ✓ | |
| 6000 | ✓ | ✓ | ✓ | |
| 7000 | ✓ | ✓ | ✓ | |
| 8000 | ✓ | ✓ | ✓ | |
| 9000 | ✓ | ✓ | ✓ | |
| 10,000 | ✓ | ✓ | ✓ | |
| Binding Environment: DWT2 | |||||
| Temperature: 30 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.94 | 0.93 | 58 | 21 | 33,289 |
| Freundlich | 0.87 | 0.84 | 110 | 60 | 117,644 |
| Modified Temkin | 0.94 | 0.91 | 58 | 21 | 41,985 |
| Dubinin–Radushkevich (D–R) | 0.94 | 0.92 | 2.04 × 10−6 | 2.2 × 10−17 | 4.9 × 10−11 |
| Redlich–Peterson (R–P) | 0.95 | 0.92 | 55 | 19 | 37,423 |
| Toth | 0.94 | 0.91 | 58 | 21 | 41,666 |
| Sips | 0.96 | 0.94 | 48 | 14 | 27,771 |
| Temperature: 40 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.65 | 0.59 | 174 | 192 | 322,083 |
| Freundlich | 0.84 | 0.82 | 116 | 93 | 144,328 |
| Modified Temkin | 0.97 | 0.96 | 48 | 16 | 29,928 |
| Dubinin–Radushkevich (D–R) | 0.81 | 0.78 | 4.3 × 10−6 | 3.8 × 10−6 | 2 × 10−10 |
| Redlich–Peterson (R–P) | 0.94 | 0.91 | 75 | 40 | 71,658 |
| Toth | 0.65 | 0.51 | 173 | 191 | 385,042 |
| Sips | 0.81 | 0.73 | 128 | 111 | 211,287 |
| Temperature: 50 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.88 | 0.86 | 105 | 54 | 107,103 |
| Freundlich | 0.87 | 0.84 | 110 | 60 | 117,644 |
| Modified Temkin | 0.88 | 0.82 | 105 | 55 | 134,189 |
| Dubinin–Radushkevich (D–R) | 0.87 | 0.85 | 3.5 × 10−6 | 1.9 × 10−6 | 1.3 × 10−10 |
| Redlich–Peterson (R–P) | 0.88 | 0.82 | 104 | 54 | 133,523 |
| Toth | 0.88 | 0.82 | 105 | 54 | 133,927 |
| Sips | 0.88 | 0.83 | 103 | 53 | 129,005 |
| Binding Environment: SPW | |||||
| Temperature: 30 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.89 | 0.87 | 66 | 32 | 46,049 |
| Freundlich | 0.89 | 0.87 | 68 | 33 | 47,581 |
| Modified Temkin | 0.90 | 0.86 | 62 | 29 | 49,898 |
| Dubinin–Radushkevich (D–R) | 0.89 | 0.87 | 2.2 × 10−6 | 1.1 × 10−6 | 5.15 × 10−11 |
| Redlich–Peterson (R–P) | 0.89 | 0.85 | 66 | 32 | 55,227 |
| Toth | 0.89 | 0.85 | 66 | 32 | 55,227 |
| Sips | 0.89 | 0.85 | 65 | 32 | 54,874 |
| Temperature: 40 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.88 | 0.86 | 83 | 54 | 74,178 |
| Freundlich | 0.95 | 0.94 | 53 | 24 | 30,009 |
| Modified Temkin | 0.95 | 0.93 | 53 | 24 | 36,363 |
| Dubinin–Radushkevich (D–R) | 0.95 | 0.94 | 1.8 × 10−6 | 8.0 × 10−7 | 3.32 × 10−11 |
| Redlich–Peterson (R–P) | 0.95 | 0.93 | 54 | 24 | 36,657 |
| Toth | 0.88 | 0.84 | 83 | 53 | 87,766 |
| Sips | 0.95 | 0.93 | 53 | 24 | 36,108 |
| Temperature: 50 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.94 | 0.92 | 22 | 7.0 | 4881 |
| Freundlich | 0.92 | 0.90 | 26 | 9.0 | 6522 |
| Modified Temkin | 0.93 | 0.90 | 22 | 7.0 | 6103 |
| Dubinin–Radushkevich (D–R) | 0.92 | 0.91 | 8.1 × 10−7 | 2.8 × 10−7 | 6.48 × 10−12 |
| Redlich–Peterson (R–P) | 0.94 | 0.91 | 22 | 7.0 | 5930 |
| Toth | 0.94 | 0.91 | 21 | 6.0 | 5476 |
| Sips | 0.95 | 0.93 | 19 | 5.0 | 4485 |
| Binding Environment: DWT2 | |||
| Temperature [°C] | qmax [mol/g] | β [mol2/J2] | E [kJ/mol] |
| 30 | 1.8 × 10−3 ± 2.0 × 10−4 | 6.7 × 10−9 ± 2.3 × 10−11 | 8.53 |
| 40 | 1.4 × 10−3 ± 2.6 × 10−2 | 5.7 × 10−9 ± 4.5 × 10−11 | 9.36 |
| 50 | 1.1 × 10−3 ± 2.0 × 10−5 | 4.6 × 10−9 ± 3.3 × 10−11 | 10.48 |
| Binding Environment: SPW | |||
| Temperature [°C] | qmax [mol/g] | β [mol2/J2] | E [kJ/mol] |
| 30 | 1.2 × 10−3 ± 5.7 × 10−6 | 6.3 × 10−9 ± 9.7 × 10−12 | 8.93 |
| 40 | 7.3 × 10−4 ± 4.0 × 10−3 | 5.7 × 10−9 ± 2.0 × 10−10 | 9.40 |
| 50 | 3.2 × 10−4 ± 4.3 × 10−6 | 5.1 × 10−9 ± 2.5 × 10−11 | 9.95 |
| Binding Environment: DWT2 | |||||
| Temperature: 30 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.81 | 0.75 | 196 | 117 | 321,328 |
| Freundlich | 0.74 | 0.66 | 232 | 165 | 446,793 |
| Modified Temkin | 0.81 | 0.63 | 197 | 117 | 483,633 |
| Dubinin–Radushkevich (D–R) | 0.76 | 0.68 | 2.6 × 10−6 | 1.8 × 10−6 | 5.45 × 10−11 |
| Redlich–Peterson (R–P) | 0.85 | 0.70 | 190 | 74 | 452,289 |
| Toth | 0.79 | 0.58 | 207 | 136 | 537,758 |
| Sips | 0.99 | 0.98 | 48 | 7 | 28,913 |
| Temperature: 40 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.94 | 0.92 | 102 | 38 | 94,305 |
| Freundlich | 0.94 | 0.93 | 101 | 37 | 91,778 |
| Modified Temkin | 0.94 | 0.90 | 104 | 38 | 128,753 |
| Dubinin–Radushkevich (D–R) | 0.94 | 0.92 | 1.2 × 10−6 | 4.4 × 10−7 | 1.25 × 10−11 |
| Redlich–Peterson (R–P) | 0.94 | 0.89 | 105 | 41 | 133,502 |
| Toth | 0.94 | 0.90 | 101 | 37 | 122,529 |
| Sips | 0.94 | 0.90 | 102 | 37 | 122,791 |
| Temperature: 50 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.93 | 0.92 | 75 | 32 | 60,129 |
| Freundlich | 0.94 | 0.93 | 74 | 30 | 58,187 |
| Modified Temkin | 0.97 | 0.96 | 49 | 14 | 31,761 |
| Dubinin–Radushkevich (D–R) | 0.93 | 0.91 | 9.1 × 10−7 | 4.03 × 10−7 | 8.81 × 10−12 |
| Redlich–Peterson (R–P) | 0.94 | 0.91 | 74 | 31 | 69,354 |
| Toth | 0.94 | 0.91 | 75 | 31 | 71,058 |
| Sips | 0.94 | 0.91 | 74 | 30 | 70,299 |
| Binding Environment: SPW | |||||
| Temperature: 30 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.95 | 0.94 | 57 | 18 | 35,017 |
| Freundlich | 0.96 | 0.95 | 52 | 15 | 28,747 |
| Modified Temkin | 0.96 | 0.95 | 50 | 14 | 32,456 |
| Dubinin–Radushkevich (D–R) | 0.96 | 0.95 | 6.2 × 10−7 | 1.9 × 10−7 | 4.1 × 10−12 |
| Redlich–Peterson (R–P) | 0.93 | 0.90 | 70 | 29 | 63,034 |
| Toth | 0.96 | 0.94 | 52 | 15 | 34,606 |
| Sips | 0.96 | 0.94 | 52 | 15 | 34,740 |
| Temperature: 40 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.95 | 0.94 | 59 | 19 | 34,391 |
| Freundlich | 0.94 | 0.93 | 64 | 20 | 39,892 |
| Modified Temkin | 0.95 | 0.93 | 57 | 16 | 39,621 |
| Dubinin–Radushkevich (D–R) | 0.94 | 0.93 | 6.95 × 10−7 | 2.0 × 10−7 | 4.7 × 10−12 |
| Redlich–Peterson (R–P) | 0.95 | 0.93 | 60 | 16 | 39,705 |
| Toth | 0.92 | 0.89 | 71 | 25 | 61,219 |
| Sips | 0.95 | 0.92 | 58 | 16 | 40,898 |
| Temperature: 50 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.95 | 0.94 | 73 | 24 | 57,173 |
| Freundlich | 0.93 | 0.92 | 83 | 30 | 73,638 |
| Modified Temkin | 0.95 | 0.93 | 72 | 23 | 68,194 |
| Dubinin–Radushkevich (D–R) | 0.94 | 0.93 | 8.94 × 10−7 | 3.0 × 10−7 | 8.53 × 10−12 |
| Redlich–Peterson (R–P) | 0.95 | 0.93 | 73 | 24 | 68,495 |
| Toth | 0.93 | 0.90 | 86 | 34 | 95,543 |
| Sips | 0.95 | 0.93 | 72 | 23 | 65,737 |
| Binding Environment: DWT2 | |||
| Temperature [°C] | qmax [mol/g] | β [mol2/J2] | E [kJ/mol] |
| 30 | 5.5 × 10−4 ± 8.7 × 10−8 | 3.96 × 10−9 ± 2.1 × 10−13 | 11.24 |
| 40 | 2.5 × 10−3 ± 1.4 × 10−7 | 6.02 × 10−9 ± 7.6 × 10−14 | 9.12 |
| 50 | 2.6 × 10−3 ± 1.1 × 10−7 | 6.13 × 10−9 ± 5.5 × 10−14 | 9.03 |
| Binding Environment: SPW | |||
| Temperature [°C] | qmax [mol/g] | β [mol2/J2] | E [kJ/mol] |
| 30 | 7.7 × 10−4 ± 7.3 × 10−7 | 5.2 × 10−9 ± 1.4 × 10−12 | 9.84 |
| 40 | 5.5 × 10−4 ± 8.2 × 10−8 | 4.0 × 10−9 ± 4.8 × 10−13 | 11.16 |
| 50 | 3.3 × 10−4 ± 3.9 × 10−12 | 2.9 × 10−9 ± 3.9 × 10−12 | 13.20 |
| Binding Environment: DWT2 | |||||
| Temperature: 30 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.92 | 0.91 | 144 | 53 | 187,628 |
| Freundlich | 0.88 | 0.85 | 182 | 84 | 298,770 |
| Modified Temkin | 0.92 | 0.87 | 145 | 53 | 251,050 |
| Dubinin–Radushkevich (D–R) | 0.89 | 0.87 | 3.6 × 10−6 | 1.6 × 10−6 | 1.2 × 10−10 |
| Redlich–Peterson (R–P) | 0.96 | 0.93 | 110 | 31 | 145,601 |
| Toth | 0.95 | 0.92 | 114 | 33 | 156,051 |
| Sips | 0.98 | 0.97 | 67 | 12 | 54,412 |
| Temperature: 40 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.87 | 0.85 | 179 | 108 | 314,134 |
| Freundlich | 0.92 | 0.90 | 147 | 74 | 212,674 |
| Modified Temkin | 0.87 | 0.81 | 180 | 107 | 397,580 |
| Dubinin–Radushkevich (D–R) | 0.91 | 0.89 | 3.2 × 10−6 | 1.7 × 10−6 | 9.98 × 10−11 |
| Redlich–Peterson (R–P) | 0.93 | 0.90 | 133 | 59 | 218,075 |
| Toth | 0.88 | 0.82 | 175 | 98 | 373,978 |
| Sips | 0.91 | 0.87 | 148 | 75 | 269,440 |
| Temperature: 50 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.95 | 0.94 | 113 | 42 | 135,695 |
| Freundlich | 0.96 | 0.95 | 107 | 37 | 123,265 |
| Modified Temkin | 0.89 | 0.84 | 174 | 98 | 387,925 |
| Dubinin–Radushkevich (D–R) | 0.95 | 0.94 | 2.4 × 10−6 | 8.8 × 10−7 | 6.0 × 10−11 |
| Redlich–Peterson (R–P) | 0.96 | 0.94 | 108 | 38 | 148,745 |
| Toth | 0.95 | 0.93 | 117 | 46 | 175,327 |
| Binding Environment: SPW | |||||
| Temperature: 30 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.93 | 0.92 | 97 | 27 | 92,987 |
| Freundlich | 0.88 | 0.86 | 129 | 48 | 162,296 |
| Modified Temkin | 0.93 | 0.90 | 97 | 28 | 117,180 |
| Dubinin–Radushkevich (D–R) | 0.89 | 0.87 | 2.6 × 10−6 | 9.1 × 10−7 | 6.5 × 10−11 |
| Redlich–Peterson (R–P) | 0.94 | 0.91 | 93 | 25 | 106,658 |
| Toth | 0.94 | 0.91 | 92 | 25 | 104,657 |
| Sips | 0.97 | 0.96 | 61 | 11 | 45,577 |
| Temperature: 40 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.93 | 0.92 | 102 | 26 | 93,848 |
| Freundlich | 0.82 | 0.77 | 171 | 73 | 262,946 |
| Modified Temkin | 0.93 | 0.89 | 102 | 26 | 125,436 |
| Dubinin–Radushkevich (D–R) | 0.84 | 0.80 | 3.35 × 10−6 | 1.3 × 10−6 | 1.0 × 10−10 |
| Redlich–Peterson (R–P) | 0.94 | 0.91 | 93 | 22 | 104,394 |
| Toth | 0.95 | 0.91 | 93 | 21 | 103,200 |
| Sips | 0.98 | 0.97 | 53 | 7 | 33,353 |
| Temperature: 50 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.99 | 0.99 | 47 | 7 | 23,732 |
| Freundlich | 0.99 | 0.98 | 56 | 11 | 35,700 |
| Modified Temkin | 0.99 | 0.99 | 47 | 8 | 28,638 |
| Dubinin–Radushkevich (D–R) | 0.99 | 0.99 | 1.1 × 10−6 | 2.0 × 10−7 | 1.33 × 10−11 |
| Redlich–Peterson (R–P) | 0.99 | 0.99 | 47 | 7 | 27,687 |
| Toth | 0.99 | 0.99 | 46 | 7 | 27,538 |
| Sips | 0.99 | 0.99 | 47 | 7 | 27,968 |
| Binding Environment: DWT2 | |||
| Temperature [C°] | qmax [mol/g] | β [mol2/J2] | E [kJ/mol] |
| 30 | 1.4 × 10−3 ± 3.0 × 10−6 | 4.4 × 10−9 ± 3.2 × 10−12 | 10.67 |
| 40 | 6.9 × 10−3 ± 1.0 × 10−5 | 5.6 × 10−9 ± 6.9 × 10−14 | 9.47 |
| 50 | 8.3 × 10−3 ± 9.2 × 10−6 | 5.0 × 10−9 ± 1.2 × 10−12 | 9.95 |
| Binding Environment: SPW | |||
| Temperature [C°] | qmax [mol/g] | β [mol2/J2] | E [kJ/mol] |
| 30 | 8.0 × 10−4 ± 3.6 × 10−6 | 3.4 × 10−9 ± 6.0 × 10−12 | 12.18 |
| 40 | 5.2 × 10−4 ± 1.1 × 10−6 | 2.4 × 10−9 ± 2.4 × 10−12 | 14.34 |
| 50 | 3.2 × 10−3 ± 1.4 × 10−4 | 4.4 × 10−9 ± 5.2 × 10−11 | 10.61 |
| Binding Environment: DWT2 | |||||
| Temperature: 30 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.93 | 0.91 | 32 | 14 | 10,019 |
| Freundlich | 0.94 | 0.93 | 30 | 12 | 8571 |
| Modified Temkin | 0.93 | 0.90 | 31 | 13 | 11,653 |
| Dubinin–Radushkevich (D–R) | 0.94 | 0.93 | 1.2 × 10−6 | 4.9 × 10−7 | 1.5 × 10−11 |
| Redlich–Peterson (R–P) | 0.94 | 0.92 | 28 | 11 | 9720 |
| Toth | 0.93 | 0.89 | 32 | 14 | 12,339 |
| Sips | 0.97 | 0.96 | 19 | 5 | 4501 |
| Temperature: 40 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.91 | 0.88 | 52 | 24 | 24,526 |
| Freundlich | 0.90 | 0.87 | 54 | 26 | 26,724 |
| Modified Temkin | 0.90 | 0.84 | 52 | 24 | 32,726 |
| Dubinin–Radushkevich (D–R) | 0.90 | 0.88 | 2.6 × 10−6 | 1.1 × 10−6 | 4.7 × 10−11 |
| Redlich–Peterson (R–P) | 0.91 | 0.84 | 52 | 24 | 32,702 |
| Toth | 0.91 | 0.84 | 52 | 24 | 32,715 |
| Sips | 0.93 | 0.89 | 43 | 17 | 22,654 |
| Temperature: 50 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.91 | 0.88 | 28 | 11 | 7689 |
| Freundlich | 0.91 | 0.90 | 27 | 10 | 7145 |
| Modified Temkin | 0.92 | 0.88 | 26 | 10 | 8413 |
| Dubinin–Radushkevich (D–R) | 0.91 | 0.90 | 1.2 × 10−6 | 4.5 × 10−7 | 1.35 × 10−11 |
| Redlich–Peterson (R–P) | 0.91 | 0.87 | 27 | 10 | 8869 |
| Toth | 0.91 | 0.87 | 27 | 10 | 8869 |
| Sips | 0.91 | 0.87 | 27 | 10 | 8939 |
| Binding Environment: SPW | |||||
| Temperature: 30 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.72 | 0.67 | 98 | 122 | 94,668 |
| Freundlich | 0.84 | 0.81 | 74 | 61 | 54,328 |
| Modified Temkin | 0.84 | 0.77 | 74 | 56 | 66,721 |
| Dubinin–Radushkevich (D–R) | 0.84 | 0.81 | 3.3 × 10−6 | 2.7 × 10−6 | 1.0 × 10−10 |
| Redlich–Peterson (R–P) | 0.85 | 0.78 | 72 | 56 | 62,784 |
| Toth | 0.80 | 0.70 | 83 | 71 | 84,154 |
| Sips | 0.87 | 0.81 | 67 | 50 | 54,861 |
| Temperature: 40 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.68 | 0.58 | 194 | 155 | 313,447 |
| Freundlich | 0.67 | 0.56 | 198 | 158 | 327,729 |
| Modified Temkin | 0.68 | 0.37 | 194 | 155 | 470,560 |
| Dubinin–Radushkevich (D–R) | 0.88 | 0.83 | 3.2 × 10−6 | 2.4 × 10−6 | 5.0 × 10−10 |
| Redlich–Peterson (R–P) | 0.69 | 0.40 | 192 | 152 | 461,553 |
| Toth | 0.68 | 0.37 | 194 | 156 | 470,331 |
| Sips | 0.73 | 0.47 | 178 | 145 | 395,811 |
| Temperature: 50 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.76 | 0.73 | 121 | 119 | 156,407 |
| Freundlich | 0.92 | 0.90 | 72 | 46 | 54,901 |
| Modified Temkin | 0.97 | 0.95 | 45 | 18 | 26,422 |
| Dubinin–Radushkevich (D–R) | 0.92 | 0.90 | 3.1 × 10−6 | 2.0 × 10−6 | 1.0 × 10−10 |
| Redlich–Peterson (R–P) | 0.91 | 0.88 | 73 | 47 | 67,855 |
| Toth | 0.77 | 0.67 | 121 | 118 | 186,399 |
| Sips | 0.92 | 0.89 | 70 | 45 | 63,413 |
| Binding Environment: DWT2 | |||
| Temperature [°C] | qmax [mol/g] | β [mol2/J2] | E [kJ/mol] |
| 30 | 3.4 × 10−3 ± 1.6 × 10−5 | 1.0 × 10−8 ± 1.0 × 10−11 | 7.0 |
| 40 | 1.2 × 10−3 ± 9.0 × 10−7 | 6.8 × 10−9 ± 1.5 × 10−12 | 8.6 |
| 50 | 3.2 × 10−4 ± 1.1 × 10−4 | 5.0 × 10−9 ± 6.7 × 10−10 | 10.0 |
| Binding Environment: SPW | |||
| Temperature [°C] | qmax [mol/g] | β [mol2/J2] | E [kJ/mol] |
| 30 | 1.2 × 10−2 ± 3.6 × 10−4 | 1.1 × 10−8 ± 5.7 × 10−11 | 6.8 |
| 40 | 5.3 × 10−2 ± 1.9 × 10−2 | 1.3 × 10−8 ± 4.0 × 10−10 | 6.3 |
| 50 | 9.4 × 10−2 ± 3.7 × 10−2 | 1.4 × 10−8 ± 7.5 × 10−10 | 5.9 |
| Binding Environment: DWT2 | |||||
| Temperature: 30 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.80 | 0.75 | 135 | 91 | 163,994 |
| Freundlich | 0.81 | 0.76 | 134 | 91 | 160,639 |
| Modified Temkin | 0.65 | 0.41 | 181 | 162 | 393,577 |
| Dubinin–Radushkevich (D–R) | 0.81 | 0.76 | 9.2 × 10−7 | 6.3 × 10−7 | 7.6 × 10−12 |
| Redlich–Peterson (R–P) | 0.81 | 0.68 | 134 | 91 | 214,165 |
| Toth | 0.80 | 0.67 | 135 | 91 | 217,668 |
| Sips | 0.82 | 0.70 | 129 | 88 | 198,617 |
| Temperature: 40 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.89 | 0.86 | 74 | 39 | 48,654 |
| Freundlich | 0.90 | 0.88 | 69 | 36 | 42,821 |
| Modified Temkin | 0.80 | 0.66 | 101 | 73 | 121,326 |
| Dubinin–Radushkevich (D–R) | 0.90 | 0.88 | 4.8 × 10−7 | 2.5 × 10−7 | 2.1 × 10−12 |
| Redlich–Peterson (R–P) | 0.90 | 0.84 | 69 | 36 | 57,141 |
| Toth | 0.89 | 0.82 | 73 | 39 | 64,173 |
| Sips | 0.90 | 0.84 | 69 | 36 | 56,698 |
| Temperature: 50 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.86 | 0.83 | 46 | 23 | 18,870 |
| Freundlich | 0.88 | 0.84 | 50 | 21 | 20,579 |
| Modified Temkin | 0.87 | 0.75 | 50 | 22 | 31,752 |
| Dubinin–Radushkevich (D–R) | 0.87 | 0.83 | 3.5 × 10−7 | 1.5 × 10−7 | 1.0 × 10−12 |
| Redlich–Peterson (R–P) | 0.88 | 0.75 | 50 | 21 | 30,942 |
| Toth | 0.85 | 0.70 | 55 | 28 | 37,951 |
| Sips | 0.83 | 0.66 | 59 | 31 | 43,031 |
| Binding Environment: SPW | |||||
| Temperature: 30 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.91 | 0.90 | 61 | 27 | 39,604 |
| Freundlich | 0.92 | 0.91 | 59 | 25 | 37,421 |
| Modified Temkin | 0.93 | 0.90 | 57 | 23 | 41,073 |
| Dubinin–Radushkevich (D–R) | 0.91 | 0.90 | 4.3 × 10−7 | 1.8 × 10−7 | 1.9 × 10−12 |
| Redlich–Peterson (R–P) | 0.92 | 0.89 | 59 | 25 | 45,087 |
| Toth | 0.91 | 0.88 | 61 | 27 | 48,286 |
| Sips | 0.88 | 0.83 | 73 | 39 | 67,405 |
| Temperature: 40 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.71 | 0.65 | 122 | 120 | 146,383 |
| Freundlich | 0.86 | 0.83 | 84 | 69 | 69,028 |
| Modified Temkin | 0.90 | 0.85 | 70 | 45 | 60,810 |
| Dubinin–Radushkevich (D–R) | 0.98 | 0.97 | 7.5 × 10−8 | 1.0 × 10−8 | 4.7 × 10−14 |
| Redlich–Peterson (R–P) | 0.72 | 0.57 | 120 | 68 | 177,519 |
| Toth | 0.71 | 0.56 | 122 | 129 | 182,114 |
| Sips | 0.88 | 0.82 | 78 | 63 | 75,479 |
| Temperature: 50 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.84 | 0.79 | 46 | 32 | 19,342 |
| Freundlich | 0.91 | 0.89 | 34 | 19 | 10,124 |
| Modified Temkin | 0.96 | 0.93 | 24 | 9 | 6957 |
| Dubinin–Radushkevich (D–R) | 0.91 | 0.89 | 2.4 × 10−7 | 1.4 × 10−7 | 5.1 × 10−13 |
| Redlich–Peterson (R–P) | 0.95 | 0.92 | 25 | 11 | 7599 |
| Toth | 0.84 | 0.73 | 46 | 32 | 25,554 |
| Sips | 0.91 | 0.84 | 35 | 21 | 14,631 |
| Binding Environment: DWT2 | |||
| Temperature [°C] | qmax [mol/g] | β [mol2/J2] | E [kJ/mol] |
| 30 | 4.1 × 10−3 ± 1.31 × 10−4 | 7.8 × 10−9 ± 4.4 × 10−11 | 8.0 |
| 40 | 3.7 × 10−3 ± 2.91 × 10−7 | 8.4 × 10−9 ± 1.1 × 10−13 | 8.0 |
| 50 | 2.8 × 10−4 ± 7.21 × 10−5 | 5.1 × 10−9 ± 3.4 × 10−10 | 9.8 |
| Binding Environment: SPW | |||
| Temperature [°C] | qmax [mol/g] | β [mol2/J2] | E [kJ/mol] |
| 30 | 1.1 × 10−3 ± 1.5 × 10−6 | 6.4 × 10−9 ± 1.9 × 10−12 | 8.8 |
| 40 | 1.1 × 10−4 ± 3.5 × 10−7 | 4.4 × 10−9 ± 4.1 × 10−12 | 10.6 |
| 50 | 2.9 × 10−2 ± 5.9 × 10−3 | 1.2 × 10−8 ± 2.9 × 10−10 | 6.3 |
| Binding Environment: DWT2 | |||||
| Temperature: 30 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.91 | 0.90 | 68 | 34 | 49,499 |
| Freundlich | 0.93 | 0.92 | 59 | 26 | 36,771 |
| Modified Temkin | 0.87 | 0.82 | 83 | 50 | 88,756 |
| Dubinin-Radushkevich (D–R) | 0.93 | 0.92 | 1.3 × 10−6 | 6.1 × 10−7 | 1.8 × 10−11 |
| Redlich–Peterson (R–P) | 0.95 | 0.93 | 52 | 20 | 34,597 |
| Toth | 0.92 | 0.88 | 66 | 31 | 56,176 |
| Sips | 0.94 | 0.92 | 55 | 23 | 38,907 |
| Temperature: 40 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.89 | 0.87 | 70 | 36 | 52,540 |
| Freundlich | 0.89 | 0.88 | 70 | 36 | 51,718 |
| Modified Temkin | 0.98 | 0.97 | 31 | 7 | 12,385 |
| Dubinin–Radushkevich (D–R) | 0.88 | 0.86 | 1.5 × 10−6 | 8.3 × 10−7 | 2.6 × 10−11 |
| Redlich–Peterson (R–P) | 0.90 | 0.86 | 67 | 33 | 57,507 |
| Toth | 0.89 | 0.85 | 70 | 35 | 62,272 |
| Sips | 0.89 | 0.85 | 70 | 36 | 62,745 |
| Temperature: 50 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.89 | 0.88 | 63 | 27 | 48,878 |
| Freundlich | 0.93 | 0.95 | 42 | 12 | 20,713 |
| Modified Temkin | 0.94 | 0.93 | 46 | 14 | 28,565 |
| Dubinin–Radushkevich (D–R) | 0.95 | 0.94 | 9.2 × 10−7 | 2.6 × 10−7 | 9.9 × 10−12 |
| Redlich–Peterson (R–P) | 0.95 | 0.94 | 42 | 12 | 24,284 |
| Toth | 0.86 | 0.81 | 74 | 37 | 73,229 |
| Sips | 0.95 | 0.94 | 42 | 12 | 24,209 |
| Binding Environment: SPW | |||||
| Temperature: 30 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.89 | 0.87 | 92 | 52 | 97,149 |
| Freundlich | 0.89 | 0.87 | 91 | 52 | 96,024 |
| Modified Temkin | 0.87 | 0.83 | 99 | 61 | 131,368 |
| Dubinin–Radushkevich (D–R) | 0.89 | 0.87 | 1.9 × 10−6 | 1.1 × 10−6 | 4.3 × 10−11 |
| Redlich–Peterson (R–P) | 0.89 | 0.85 | 91 | 32 | 112,073 |
| Toth | 0.89 | 0.85 | 91 | 52 | 112,519 |
| Sips | 0.89 | 0.85 | 91 | 52 | 112,045 |
| Temperature: 40 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.93 | 0.91 | 70 | 31 | 52,435 |
| Freundlich | 0.93 | 0.92 | 69 | 31 | 50,890 |
| Modified Temkin | 0.98 | 0.97 | 39 | 9 | 19,343 |
| Dubinin–Radushkevich (D–R) | 0.92 | 0.91 | 1.6 × 10−6 | 7.5 × 10−7 | 2.6 × 10−11 |
| Redlich–Peterson (R–P) | 0.93 | 0.91 | 66 | 29 | 56,117 |
| Toth | 0.93 | 0.90 | 69 | 31 | 61,107 |
| Sips | 0.93 | 0.90 | 69 | 31 | 61,458 |
| Temperature: 50 °C | |||||
| Adsorption Isotherm Models | R2 | R2adj | RMSD | X2 | MSE |
| Langmuir | 0.98 | 0.98 | 24 | 4 | 6685 |
| Freundlich | 0.97 | 0.96 | 34 | 8 | 13,426 |
| Modified Temkin | 0.98 | 0.98 | 24 | 4 | 7870 |
| Dubinin–Radushkevich (D–R) | 0.97 | 0.97 | 6.5 × 10−7 | 1.41 × 10−7 | 4.8 × 10−12 |
| Redlich–Peterson (R–P) | 0.98 | 0.98 | 24 | 4 | 7795 |
| Toth | 0.98 | 0.98 | 25 | 4 | 8114 |
| Sips | 0.98 | 0.98 | 23 | 3.81 | 7171 |
| Binding Environment: DWT2 | |||
| Temperature [°C] | qmax [mol/g] | β [mol2/J2] | E [kJ/mol] |
| 30 | 1.3 × 10−2 ± 1.4 × 10−3 | 1.0 × 10−8 ± 2.0 × 10−10 | 6.9 |
| 40 | 4.1 × 10−3 ± 2.0 × 10−4 | 7.8 × 10−9 ± 8.0 × 10−11 | 8.0 |
| 50 | 3.0 × 10−4 ± 7.3 × 10−9 | 3.1 × 10−9 ± 3.6 × 10−14 | 12.6 |
| Binding Environment: SPW | |||
| Temperature [°C] | qmax [mol/g] | β [mol2/J2] | E [kJ/mol] |
| 30 | 5.3 × 10−3 ± 2.4 × 10−4 | 8.2 × 10−9 ± 7.6 × 10−11 | 7.8 |
| 40 | 3.9 × 10−3 ± 4.6 × 10−4 | 7.6 × 10−9 ± 1.9 × 10−10 | 8.1 |
| 50 | 5.8 × 10−4 ± 1.1 × 10−6 | 4.3 × 10−9 ± 2.8 × 10−12 | 10.8 |
| Polymer | Chemical Formula | Binding DWT2 Adsorption (A) | Environment SPW Adsorption (A) | Adsorption Strength, E [kJ/mol] |
|---|---|---|---|---|
| Polypropylene (PP) | (CH2-CH(CH3))n Linear Polymer | A ↑ T ↑ A ↑ Ce ↑ Overall ≫ A | A ↓ T ↑ A ↑ Ce ↑ | E ↑ T ↑ DWT2 and SPW |
| Polyvinylchloride (PVC) | (C2H3Cl)n Linear Polymer | A ↓ T ↑ A ↑ Ce ↑ A >> @ 30 °C | A ↑ T ↑ A ↑ Ce ↑ A > @ 50 °C | DTW2 E ↓ T ↑ SPW E ↑ T ↑ |
| Polyamide 6 (PA6) | -[NH(CH2)5CO]- Linear Polymer | A ↑ T ↑ A ↑ Ce ↑ Overall ≫ A | A ↑ T ↑ A ↑ Ce ↑ | DTW2 E ↓ T ↑ SPW E ↑ T ↑ |
| Low-Density Polyethylene (LDPE) | (C2H4)n Branched Polymer | A > @ 40 °C A ↑ Ce ↑ | A > @ 40 °C A ↑ Ce ↑ Overall ≫ A | DTW2 E ↑ T ↑ SPW E constant |
| High-Density Polyethylene (HDPE) | (C2H4)n Linear Polymer | A ↓ T ↑ A ↑@ Ce ↑ Overall ≫ A | A ↓ T ↑ A ↑ Ce ↑ | DWT2 >E @ 50 °C SPW >E @ 40 °C |
| M5Poly | - | A ↑ T ↑ A ↑ Ce ↑ A > @ 40 °C | A ↓ T ↑ A ↑ Ce ↑ >A @ 30 °C | E ↑ T ↑ DWT2 & SPW |
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content. |
© 2026 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.
Share and Cite
Romero-Zerón, L.; Rajeev, R.; Rodrigue, D. Adsorption Isotherms of PP, PVC, PA6, LDPE, and HDPE Microplastic Particles, and Their Blend on a Hydrophobic Bio-Substrate at Three Temperatures and Two Environments. Pollutants 2026, 6, 20. https://doi.org/10.3390/pollutants6020020
Romero-Zerón L, Rajeev R, Rodrigue D. Adsorption Isotherms of PP, PVC, PA6, LDPE, and HDPE Microplastic Particles, and Their Blend on a Hydrophobic Bio-Substrate at Three Temperatures and Two Environments. Pollutants. 2026; 6(2):20. https://doi.org/10.3390/pollutants6020020
Chicago/Turabian StyleRomero-Zerón, Laura, Rheya Rajeev, and Denis Rodrigue. 2026. "Adsorption Isotherms of PP, PVC, PA6, LDPE, and HDPE Microplastic Particles, and Their Blend on a Hydrophobic Bio-Substrate at Three Temperatures and Two Environments" Pollutants 6, no. 2: 20. https://doi.org/10.3390/pollutants6020020
APA StyleRomero-Zerón, L., Rajeev, R., & Rodrigue, D. (2026). Adsorption Isotherms of PP, PVC, PA6, LDPE, and HDPE Microplastic Particles, and Their Blend on a Hydrophobic Bio-Substrate at Three Temperatures and Two Environments. Pollutants, 6(2), 20. https://doi.org/10.3390/pollutants6020020

