{"id":2290,"date":"2026-04-03T16:44:22","date_gmt":"2026-04-03T08:44:22","guid":{"rendered":"https:\/\/iweb20wp-b205b.url.tku.edu.tw\/jase\/?post_type=tkuisotope&p=2290"},"modified":"2026-05-24T14:31:02","modified_gmt":"2026-05-24T06:31:02","slug":"methodological-approach-to-selecting-state-equations-and-adsorption-isotherms","status":"publish","type":"tkuisotope","link":"\/jase\/?tkuisotope=methodological-approach-to-selecting-state-equations-and-adsorption-isotherms","title":{"rendered":"Methodological Approach to Selecting State Equations and Adsorption Isotherms"},"content":{"rendered":"\n
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<\/i> 2025<\/a><\/p>\n<\/div>\n\n\n\n

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<\/i> Volume 28, Issue 3<\/a><\/p>\n<\/div>\n\n\n\n

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Sergio D. Rosales-Anzola1<\/sup><\/i><\/a> and German Urbina-Villalba2<\/sup><\/p>\n\n\n\n

1<\/sup>Departamento de Energ\u00eda y Automatizaci\u00f3n, Universidad Metropolitana (UNIMET), Caracas, 1073, Venezuela<\/p>\n\n\n\n

2<\/sup>Centro de F\u00edsica, Instituto Venezolano de Investigaciones Cient\u00edficas (IVIC), Caracas, 21827, Venezuela<\/p>\n<\/div>\n\n\n\n

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Received: December 29, 2023
Accepted: February 18, 2024
Publication Date: April 3, 2026<\/p>\n<\/div>\n<\/div>\n\n\n\n

\"\u4e0a\u50b3\u5716\u7247\"\n\n\n

Calculate surface concentration (\u0393) for n-dodecyl\u03b2-D-maltoside vs. concentration. Predictions from each model and Gibbs equation<\/p>\n<\/div>\n<\/div>\n\n\n\n

<\/i> Copyright <\/strong>The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0)<\/a>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.<\/p>\n\n\n\n

Download Citation:\u00a0 BibTeX <\/a>| http:\/\/dx.doi.org\/10.6180\/jase.202503_28(3).0003<\/a>\u00a0\u00a0<\/p>\n\n\n\n

Download PDF<\/a><\/p>\n\n\n\n

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The selection of the state equation and adsorption isotherm is based on the fit between the theoretical and experimental values of surface tension. From this, properties such as surface concentration (\u0393) are calculated, which is necessary for determining the surfactant concentration needed to cover a given surface area. An incorrect calculation of the property above could lead to a mischaracterization of a formulation and possibly to the detriment of the surfactant\u2019s performance due to a possible underestimation of \u03f50<\/sub>. Consequently, many of the conclusions that could be drawn from a study may need to improve the analysis of results due to the value of the surface concentration which is not closest to the real one. A necessary condition that a state equation and an adsorption isotherm must meet is the prediction of surface tension values. However, this is not a sufficient condition, which is obtained by comparing the values of elasticity at infinity with those predicted by the state equation and adsorption isotherm. How the state equation and the adsorption isotherm are chosen is essential in analyzing interfacial phenomena. This work presents the methodology to select the state equation and adsorption isotherm based on predicting surface tension values and elasticity at infinite frequency, \u03f50<\/sub>.<\/p>\n\n\n\n

Keywords: surface tension; state equation; adsorption isotherm; elasticity at infinite frequency<\/em><\/p>\n\n\n\n

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