The critical points of cubic equations of state for pure fluids

M.A.J. Michels; H. Meijer

doi:10.1016/0378-3812(83)85003-1

The critical points of cubic equations of state for pure fluids

M.A.J. Michels, H. Meijer

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Abstract

The critical point of an equation of state for a pure fluid generally has to be calculated from three coupled relations between the critical constants Vc, pc and Tc. It will be shown that for any cubic equation of state these relations may be decoupled in such a way that only one relation for Tc has to be solved, whereupon Vc and pc follow by direct substitution. For cubic equations with a Van der Waals-type repulsive term a second form of the solution is given. As examples the equations of Redlich and Kwong, of Ishikawa, Chung and Lu, and of Kumar are considered.

Original language	English
Pages (from-to)	19-27
Journal	Fluid Phase Equilibria
Volume	11
DOIs	https://doi.org/10.1016/0378-3812(83)85003-1
Publication status	Published - 1983
Externally published	Yes

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title = "The critical points of cubic equations of state for pure fluids",

abstract = "The critical point of an equation of state for a pure fluid generally has to be calculated from three coupled relations between the critical constants Vc, pc and Tc. It will be shown that for any cubic equation of state these relations may be decoupled in such a way that only one relation for Tc has to be solved, whereupon Vc and pc follow by direct substitution. For cubic equations with a Van der Waals-type repulsive term a second form of the solution is given. As examples the equations of Redlich and Kwong, of Ishikawa, Chung and Lu, and of Kumar are considered.",

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T1 - The critical points of cubic equations of state for pure fluids

AU - Michels, M.A.J.

AU - Meijer, H.

PY - 1983

Y1 - 1983

N2 - The critical point of an equation of state for a pure fluid generally has to be calculated from three coupled relations between the critical constants Vc, pc and Tc. It will be shown that for any cubic equation of state these relations may be decoupled in such a way that only one relation for Tc has to be solved, whereupon Vc and pc follow by direct substitution. For cubic equations with a Van der Waals-type repulsive term a second form of the solution is given. As examples the equations of Redlich and Kwong, of Ishikawa, Chung and Lu, and of Kumar are considered.

AB - The critical point of an equation of state for a pure fluid generally has to be calculated from three coupled relations between the critical constants Vc, pc and Tc. It will be shown that for any cubic equation of state these relations may be decoupled in such a way that only one relation for Tc has to be solved, whereupon Vc and pc follow by direct substitution. For cubic equations with a Van der Waals-type repulsive term a second form of the solution is given. As examples the equations of Redlich and Kwong, of Ishikawa, Chung and Lu, and of Kumar are considered.

U2 - 10.1016/0378-3812(83)85003-1

DO - 10.1016/0378-3812(83)85003-1

M3 - Article

SN - 0378-3812

VL - 11

SP - 19

EP - 27

JO - Fluid Phase Equilibria

JF - Fluid Phase Equilibria

ER -

The critical points of cubic equations of state for pure fluids

Abstract

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