Macleod equation and constant in pure, binary and ternary systems
The Macleod equation establishes a linear relationship between surface tension and the fourth power of the density difference between liquid and vapor, expressed asσ=CMacleod(ρl−ρv)4. This study demonstrates by a practical and empirical approximation with critical exponents and the theory of corresp...
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Elsevier
2025-06-01
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Series: | Chemical Thermodynamics and Thermal Analysis |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S2667312625000057 |
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author | Miguel Gonzalo Arenas-Quevedo José Luis López-Cervantes Jesús Gracia-Fadrique |
author_facet | Miguel Gonzalo Arenas-Quevedo José Luis López-Cervantes Jesús Gracia-Fadrique |
author_sort | Miguel Gonzalo Arenas-Quevedo |
collection | DOAJ |
description | The Macleod equation establishes a linear relationship between surface tension and the fourth power of the density difference between liquid and vapor, expressed asσ=CMacleod(ρl−ρv)4. This study demonstrates by a practical and empirical approximation with critical exponents and the theory of corresponding states, the foundations behind Macleod's proposal and extends this equation to binary and ternary systems exhibiting liquid-liquid equilibrium. Additionally, it offers a thermodynamic perspective on the Macleod constant through a novel variable termed the entropic molar volume, along with other functions. |
format | Article |
id | doaj-art-a076167e26714d59af4d46eb7382186b |
institution | Kabale University |
issn | 2667-3126 |
language | English |
publishDate | 2025-06-01 |
publisher | Elsevier |
record_format | Article |
series | Chemical Thermodynamics and Thermal Analysis |
spelling | doaj-art-a076167e26714d59af4d46eb7382186b2025-01-29T05:02:24ZengElsevierChemical Thermodynamics and Thermal Analysis2667-31262025-06-0118100165Macleod equation and constant in pure, binary and ternary systemsMiguel Gonzalo Arenas-Quevedo0José Luis López-Cervantes1Jesús Gracia-Fadrique2Laboratorio de Superficies, Departamento de Fisicoquímica, Facultad de Química, Universidad Nacional Autónoma de México, (UNAM), Ciudad de México, CP 04510, MexicoLaboratorio de Superficies, Departamento de Fisicoquímica, Facultad de Química, Universidad Nacional Autónoma de México, (UNAM), Ciudad de México, CP 04510, MexicoCorresponding author.; Laboratorio de Superficies, Departamento de Fisicoquímica, Facultad de Química, Universidad Nacional Autónoma de México, (UNAM), Ciudad de México, CP 04510, MexicoThe Macleod equation establishes a linear relationship between surface tension and the fourth power of the density difference between liquid and vapor, expressed asσ=CMacleod(ρl−ρv)4. This study demonstrates by a practical and empirical approximation with critical exponents and the theory of corresponding states, the foundations behind Macleod's proposal and extends this equation to binary and ternary systems exhibiting liquid-liquid equilibrium. Additionally, it offers a thermodynamic perspective on the Macleod constant through a novel variable termed the entropic molar volume, along with other functions.http://www.sciencedirect.com/science/article/pii/S2667312625000057Macleod equationLiquid densityVapor densitySurface tensionInterfacial tension Guggenheim number |
spellingShingle | Miguel Gonzalo Arenas-Quevedo José Luis López-Cervantes Jesús Gracia-Fadrique Macleod equation and constant in pure, binary and ternary systems Chemical Thermodynamics and Thermal Analysis Macleod equation Liquid density Vapor density Surface tension Interfacial tension Guggenheim number |
title | Macleod equation and constant in pure, binary and ternary systems |
title_full | Macleod equation and constant in pure, binary and ternary systems |
title_fullStr | Macleod equation and constant in pure, binary and ternary systems |
title_full_unstemmed | Macleod equation and constant in pure, binary and ternary systems |
title_short | Macleod equation and constant in pure, binary and ternary systems |
title_sort | macleod equation and constant in pure binary and ternary systems |
topic | Macleod equation Liquid density Vapor density Surface tension Interfacial tension Guggenheim number |
url | http://www.sciencedirect.com/science/article/pii/S2667312625000057 |
work_keys_str_mv | AT miguelgonzaloarenasquevedo macleodequationandconstantinpurebinaryandternarysystems AT joseluislopezcervantes macleodequationandconstantinpurebinaryandternarysystems AT jesusgraciafadrique macleodequationandconstantinpurebinaryandternarysystems |