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Enthalpy-Entropy Compensation Effect in Saturated Solutions on an Example of Polynuclear Aromatics According to Thermodynamics at Melting Temperature
A thermodynamic the influence of temperature on the logarithm of the considered quantity is expressed by bifunctional functional terms (1/T, lnT). For this purpose, the Apelblat & Manzurola (A&M) equation was used for extended model dissolution analysis of 12 aromatic hydrocarbons in tetrali...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2022
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9857849/ https://www.ncbi.nlm.nih.gov/pubmed/36673196 http://dx.doi.org/10.3390/e25010055 |
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author | Mianowski, Andrzej Łabojko, Grzegorz |
author_facet | Mianowski, Andrzej Łabojko, Grzegorz |
author_sort | Mianowski, Andrzej |
collection | PubMed |
description | A thermodynamic the influence of temperature on the logarithm of the considered quantity is expressed by bifunctional functional terms (1/T, lnT). For this purpose, the Apelblat & Manzurola (A&M) equation was used for extended model dissolution analysis of 12 aromatic hydrocarbons in tetralin and decalin vs. temperature for saturated solutions. The A&M equation was found to be thermodynamically compensatory in the sense of Enthalpy-Entropy-Compensation (EEC) while limiting melting temperature [Formula: see text] The coefficients for the functional terms [Formula: see text] vs. [Formula: see text] are a linear relationship, with a slope called the compensation temperature [Formula: see text] , as ratio of average enthalpy to average entropy. From this dependence, it has been shown that the approximation of [Formula: see text] is justified, also assuming the average entropy. Regarding the term representing the activity coefficients, modifications to the A&M equation were proposed by replacing the intercept and it was shown that the new form correctly determines [Formula: see text] However, the condition is that the molar fraction of the solute exceeds x > 0.5 moles. It has been shown that the simplest equation referred to van ’t Hoff’s isobar also allows the simultaneous determination of enthalpy and entropy, but these quantities do not always come down to melting temperature. |
format | Online Article Text |
id | pubmed-9857849 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-98578492023-01-21 Enthalpy-Entropy Compensation Effect in Saturated Solutions on an Example of Polynuclear Aromatics According to Thermodynamics at Melting Temperature Mianowski, Andrzej Łabojko, Grzegorz Entropy (Basel) Article A thermodynamic the influence of temperature on the logarithm of the considered quantity is expressed by bifunctional functional terms (1/T, lnT). For this purpose, the Apelblat & Manzurola (A&M) equation was used for extended model dissolution analysis of 12 aromatic hydrocarbons in tetralin and decalin vs. temperature for saturated solutions. The A&M equation was found to be thermodynamically compensatory in the sense of Enthalpy-Entropy-Compensation (EEC) while limiting melting temperature [Formula: see text] The coefficients for the functional terms [Formula: see text] vs. [Formula: see text] are a linear relationship, with a slope called the compensation temperature [Formula: see text] , as ratio of average enthalpy to average entropy. From this dependence, it has been shown that the approximation of [Formula: see text] is justified, also assuming the average entropy. Regarding the term representing the activity coefficients, modifications to the A&M equation were proposed by replacing the intercept and it was shown that the new form correctly determines [Formula: see text] However, the condition is that the molar fraction of the solute exceeds x > 0.5 moles. It has been shown that the simplest equation referred to van ’t Hoff’s isobar also allows the simultaneous determination of enthalpy and entropy, but these quantities do not always come down to melting temperature. MDPI 2022-12-28 /pmc/articles/PMC9857849/ /pubmed/36673196 http://dx.doi.org/10.3390/e25010055 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/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 (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Mianowski, Andrzej Łabojko, Grzegorz Enthalpy-Entropy Compensation Effect in Saturated Solutions on an Example of Polynuclear Aromatics According to Thermodynamics at Melting Temperature |
title | Enthalpy-Entropy Compensation Effect in Saturated Solutions on an Example of Polynuclear Aromatics According to Thermodynamics at Melting Temperature |
title_full | Enthalpy-Entropy Compensation Effect in Saturated Solutions on an Example of Polynuclear Aromatics According to Thermodynamics at Melting Temperature |
title_fullStr | Enthalpy-Entropy Compensation Effect in Saturated Solutions on an Example of Polynuclear Aromatics According to Thermodynamics at Melting Temperature |
title_full_unstemmed | Enthalpy-Entropy Compensation Effect in Saturated Solutions on an Example of Polynuclear Aromatics According to Thermodynamics at Melting Temperature |
title_short | Enthalpy-Entropy Compensation Effect in Saturated Solutions on an Example of Polynuclear Aromatics According to Thermodynamics at Melting Temperature |
title_sort | enthalpy-entropy compensation effect in saturated solutions on an example of polynuclear aromatics according to thermodynamics at melting temperature |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9857849/ https://www.ncbi.nlm.nih.gov/pubmed/36673196 http://dx.doi.org/10.3390/e25010055 |
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