Critical Constants Correlation from van der Waals Equation
The cubic van der Waals equation of state at the critical condition is reduced to a linear function (Vc vs. Tc /Pc coordinates) with one adjustable parameter. It is shown that at the critical point the relation Vc = 3Vo must not hold as van der Waals suggested, but the attractive constant α = Pc Vc2...
- Autores:
-
Martínez Vitela, Mario Alberto
Gracia Fadrique, Jesús
- Tipo de recurso:
- Fecha de publicación:
- 2019
- Institución:
- Universidad EAFIT
- Repositorio:
- Repositorio EAFIT
- Idioma:
- eng
- OAI Identifier:
- oai:repository.eafit.edu.co:10784/17657
- Acceso en línea:
- http://hdl.handle.net/10784/17657
- Palabra clave:
- Van der Waals
Critical point
Equation of state
Empirical correlations
Group contributions
Van der Waals
Punto crítico
Ecuación de estado
Correlaciones empíricas
Contribuciones por grupo
- Rights
- License
- Copyright © 2019 Mario Alberto Martínez Vitela, Jesús Gracia Fadrique
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Medellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees2019-11-292020-09-04T16:41:30Z2019-11-292020-09-04T16:41:30Z1794-9165http://hdl.handle.net/10784/17657The cubic van der Waals equation of state at the critical condition is reduced to a linear function (Vc vs. Tc /Pc coordinates) with one adjustable parameter. It is shown that at the critical point the relation Vc = 3Vo must not hold as van der Waals suggested, but the attractive constant α = Pc Vc2 remains. Selected values of Tc, Pc, Vc compiled by Ihmels where focused on testing the quality of several empirical equations relating critical conditions. It is shown that the obtained critical constants correlation is a general form of the empirical expressions proposed by Young, Meissner, Bird, Grigoras and Ihmels. From the resulting correlation function, a function for the critical compressibility is proposed. The critical volume Vc and the ratio Tc /Pc have been expressed in group contributions.La ecuación de estado cúbica de van der Waals en la condición crítica se reduce a una función lineal (en coordenadas Vc frente a Tc /Pc) con un parámetro de ajuste. Se muestra que en el punto crítico, la constante Vc = 3Vo debe efectivamente descartarse como hizo van der Waals, no así con la constante atractiva α = Pc Vc2. Los valores seleccionados de Tc, Pc, Vc compilados por Ihmels se enfocaron en probar la calidad de varias ecuaciones empíricas renombradas que relacionan condiciones críticas. En este artículo se muestra que la correlación de constantes crítica obtenida es una forma general de estas expresiones empíricas propuestas por Young, Meissner, Bird, Grigoras e Ihmels. Se propone una función para la compresibilidad crítica, única por familia homóloga. El volumen crítico Vc y la relación Tc /Pc se expresa en función de contribución de grupos.application/pdfengUniversidad EAFIThttps://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/5595https://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/5595Copyright © 2019 Mario Alberto Martínez Vitela, Jesús Gracia FadriqueAcceso abiertohttp://purl.org/coar/access_right/c_abf2Ingeniería y Ciencia, Vol. 15, Núm. 30 (2019)Critical Constants Correlation from van der Waals EquationCorrelación de constantes críticas a partir de la ecuación de Van der Waalsarticleinfo:eu-repo/semantics/articlepublishedVersioninfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Van der WaalsCritical pointEquation of stateEmpirical correlationsGroup contributionsVan der WaalsPunto críticoEcuación de estadoCorrelaciones empíricasContribuciones por grupoMartínez Vitela, Mario AlbertoGracia Fadrique, JesúsUniversidad Nacional Autónoma de MéxicoIngeniería y Ciencia15308199THUMBNAILminaitura-ig_Mesa de trabajo 1.jpgminaitura-ig_Mesa de trabajo 1.jpgimage/jpeg265796https://repository.eafit.edu.co/bitstreams/69ddd45e-3b7f-4b79-a599-828988897320/downloadda9b21a5c7e00c7f1127cef8e97035e0MD51ORIGINALdocument - 2020-09-21T083734.164.pdfdocument - 2020-09-21T083734.164.pdfTexto completo PDFapplication/pdf326584https://repository.eafit.edu.co/bitstreams/54926df2-9e69-467f-ae13-cf7aebc84b5d/downloadc192cf9ea9e90709266755d25bebc21bMD52articulo - copia (4).htmlarticulo - copia (4).htmlTexto completo HTMLtext/html375https://repository.eafit.edu.co/bitstreams/f63ab657-7a24-4c26-9373-62abe43b01ea/downloadcad6617380fe901baf7da1ca9db83c6eMD5310784/17657oai:repository.eafit.edu.co:10784/176572020-09-21 08:38:49.906open.accesshttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.co |
| dc.title.eng.fl_str_mv |
Critical Constants Correlation from van der Waals Equation |
| dc.title.spa.fl_str_mv |
Correlación de constantes críticas a partir de la ecuación de Van der Waals |
| title |
Critical Constants Correlation from van der Waals Equation |
| spellingShingle |
Critical Constants Correlation from van der Waals Equation Van der Waals Critical point Equation of state Empirical correlations Group contributions Van der Waals Punto crítico Ecuación de estado Correlaciones empíricas Contribuciones por grupo |
| title_short |
Critical Constants Correlation from van der Waals Equation |
| title_full |
Critical Constants Correlation from van der Waals Equation |
| title_fullStr |
Critical Constants Correlation from van der Waals Equation |
| title_full_unstemmed |
Critical Constants Correlation from van der Waals Equation |
| title_sort |
Critical Constants Correlation from van der Waals Equation |
| dc.creator.fl_str_mv |
Martínez Vitela, Mario Alberto Gracia Fadrique, Jesús |
| dc.contributor.author.spa.fl_str_mv |
Martínez Vitela, Mario Alberto Gracia Fadrique, Jesús |
| dc.contributor.affiliation.spa.fl_str_mv |
Universidad Nacional Autónoma de México |
| dc.subject.keyword.eng.fl_str_mv |
Van der Waals Critical point Equation of state Empirical correlations Group contributions |
| topic |
Van der Waals Critical point Equation of state Empirical correlations Group contributions Van der Waals Punto crítico Ecuación de estado Correlaciones empíricas Contribuciones por grupo |
| dc.subject.keyword.spa.fl_str_mv |
Van der Waals Punto crítico Ecuación de estado Correlaciones empíricas Contribuciones por grupo |
| description |
The cubic van der Waals equation of state at the critical condition is reduced to a linear function (Vc vs. Tc /Pc coordinates) with one adjustable parameter. It is shown that at the critical point the relation Vc = 3Vo must not hold as van der Waals suggested, but the attractive constant α = Pc Vc2 remains. Selected values of Tc, Pc, Vc compiled by Ihmels where focused on testing the quality of several empirical equations relating critical conditions. It is shown that the obtained critical constants correlation is a general form of the empirical expressions proposed by Young, Meissner, Bird, Grigoras and Ihmels. From the resulting correlation function, a function for the critical compressibility is proposed. The critical volume Vc and the ratio Tc /Pc have been expressed in group contributions. |
| publishDate |
2019 |
| dc.date.issued.none.fl_str_mv |
2019-11-29 |
| dc.date.available.none.fl_str_mv |
2020-09-04T16:41:30Z |
| dc.date.accessioned.none.fl_str_mv |
2020-09-04T16:41:30Z |
| dc.date.none.fl_str_mv |
2019-11-29 |
| dc.type.eng.fl_str_mv |
article info:eu-repo/semantics/article publishedVersion info:eu-repo/semantics/publishedVersion |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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http://purl.org/coar/resource_type/c_6501 http://purl.org/coar/resource_type/c_2df8fbb1 |
| dc.type.local.spa.fl_str_mv |
Artículo |
| status_str |
publishedVersion |
| dc.identifier.issn.none.fl_str_mv |
1794-9165 |
| dc.identifier.uri.none.fl_str_mv |
http://hdl.handle.net/10784/17657 |
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1794-9165 |
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http://hdl.handle.net/10784/17657 |
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eng |
| language |
eng |
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https://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/5595 |
| dc.relation.uri.none.fl_str_mv |
https://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/5595 |
| dc.rights.eng.fl_str_mv |
Copyright © 2019 Mario Alberto Martínez Vitela, Jesús Gracia Fadrique |
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http://purl.org/coar/access_right/c_abf2 |
| dc.rights.local.spa.fl_str_mv |
Acceso abierto |
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Copyright © 2019 Mario Alberto Martínez Vitela, Jesús Gracia Fadrique Acceso abierto http://purl.org/coar/access_right/c_abf2 |
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application/pdf |
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Medellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees |
| dc.publisher.spa.fl_str_mv |
Universidad EAFIT |
| dc.source.spa.fl_str_mv |
Ingeniería y Ciencia, Vol. 15, Núm. 30 (2019) |
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Universidad EAFIT |
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