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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Main Authors: Miguel Gonzalo Arenas-Quevedo, José Luis López-Cervantes, Jesús Gracia-Fadrique
Format: Article
Language:English
Published: Elsevier 2025-06-01
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
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institution Kabale University
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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
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