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...

Full description

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
Description
Summary: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.