Mathematical Modeling and Evaluation of Thermodynamic Parameters

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Engineering and Materials".

Deadline for manuscript submissions: closed (30 September 2023) | Viewed by 529

Special Issue Editor

Department of Environmental Engineering and Management, “Cristofor Simionescu” Faculty of Chemical Engineering and Environmental Protection, Technical University Gheorghe Asachi of Iasi, Iasi, Romania
Interests: environmental pollution; environmental bioremediation; heavy metals pollutants; biosorption/adsorption; batch and continuous systems; low-cost biosorbents/adsorbents; wastewater treatment; waste recycling; valorization of exhausted biosorbents/adsorbents; ecological fertilizers for soils
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Special Issue Information

Dear Colleagues,

Adsorption processes are some of the most viable alternatives for the removal of heavy metal ions and organic compounds from aqueous media. The ease of use and the possibility of application in a wide range of experimental conditions have determined adsorption processes to be ecological and inexpensive methods for environmental remediation. For such adsorption processes, the selection of a suitable adsorbent material is crucial. Often, increasing the adsorption efficiency is done by target the functionalization of the adsorbent material. In this case, the symmetry methods play an important role in the characterization of the obtained adsorbents, as they allow us to highlight the most important mechanical, structural and morphological characteristics. On the other hand, the modelling of equilibrium and kinetic adsorption data is essential in establishing the practical applicability of such adsorbents. In this context, the objective of this Special Issue is to bring together theoretical and experimental investigations related to the functionalization of adsorbent materials, as well as to develop and to indicate the limitations regarding the use of isotherm and kinetic models in the modelling of adsorption data. Original theoretical and experimental contributions on this topic, in which the analysis of symmetries is clearly highlighted, are welcome. I hope this Special Issue of Symmetry will be a forum for interesting discussions and effective knowledge sharing.

Prof. Dr. Laura Bulgariu
Guest Editor

Manuscript Submission Information

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Keywords

  • symmetry in structural functionalization
  • symmetry in designing functionalized adsorbents
  • isotherm modelling
  • kinetic modelling
  • evaluation of thermodynamic parameters
  • applicability of symmetry analysis in mathematical modelling

Published Papers (1 paper)

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Research

15 pages, 3759 KiB  
Article
Evaluation of Thermodynamic Parameters for Cu(II) Ions Biosorption on Algae Biomass and Derived Biochars
by Alina Alexandra Ciobanu, Dumitru Bulgariu, Ioana Alexandra Ionescu, Diana Maria Puiu, Gabriela Geanina Vasile and Laura Bulgariu
Symmetry 2023, 15(8), 1500; https://doi.org/10.3390/sym15081500 - 28 Jul 2023
Cited by 4 | Viewed by 619
Abstract
The removal of metal ions by biosorption on inexpensive materials is still a challenge for environmental engineering research. In this study, marine green algae biomass (Ulva lactuca sp.) and the biochars obtained from this biomass, at 320 °C (BC-320) and 550 °C [...] Read more.
The removal of metal ions by biosorption on inexpensive materials is still a challenge for environmental engineering research. In this study, marine green algae biomass (Ulva lactuca sp.) and the biochars obtained from this biomass, at 320 °C (BC-320) and 550 °C (BC-550), were used as biosorbents for the removal of Cu(II) ions from aqueous solution. In addition to comparing the biosorption capacities, the determination of the thermodynamic parameters allows the choice of the most suitable material for the biosorption processes. The experimental results, obtained for Cu(II) ions biosorption on each biosorbent (algae biomass (AB), BC-320 and BC-550), at three different temperatures (10, 30 and 50 °C) were analyzed using Langmuir and Freundlich isotherm models, while pseudo-first order, pseudo-second order and intra-particle diffusions models were used to model the kinetic data. The biosorption of Cu(II) ions is best described by the Langmuir model and the pseudo-second kinetic model, regardless of the type of biosorbent. Such behavior is characteristic for the retention of metal ions on low-cost materials, and is explained in the literature using the concepts of molecular symmetry. The maximum biosorption capacity (qmax, mg/g) depends on the temperature, but also on the type of biosorbent, and follow the order: BC-320 < AB < BC-550. Using the experimental isotherms, the thermodynamic parameters (ΔG0, ΔH0 and ΔS0) for the biosorption of Cu(II) ions on each biosorbent were calculated. The analysis of the obtained values constitutes the main arguments in choosing BC-550 as the most effective biosorbent for the removal of Cu(II) ions from aqueous media. Full article
(This article belongs to the Special Issue Mathematical Modeling and Evaluation of Thermodynamic Parameters)
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