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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...

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Autores principales: Mianowski, Andrzej, Łabojko, Grzegorz
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
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.
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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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