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The following are equations of state for mixtures of hard spheres.
Mansoori, Carnahan, Starling, and Leland
The Mansoori, Carnahan, Starling, and Leland equation of state is given by (Ref. 1 Eq. 7):
where
where is the number of components, is the diameter of the th component, and is the mole fraction, such that .
Santos, Yuste and López De Haro
Ref. 2
Hansen-Goos and Roth
Ref. 3 Based on the Carnahan-Starling equation of state
References
- G. A. Mansoori, N. F. Carnahan, K. E. Starling, and T. W. Leland, Jr. "Equilibrium Thermodynamic Properties of the Mixture of Hard Spheres", Journal of Chemical Physics 54 pp. 1523-1525 (1971)
- Andrés Santos; Santos Bravo Yuste; Mariano López De Haro "Equation of state of a multicomponent d-dimensional hard-sphere fluid", Molecular Physics 96 pp. 1-5 (1999)
- Hendrik Hansen-Goos and Roland Roth "A new generalization of the Carnahan-Starling equation of state to additive mixtures of hard spheres", Journal of Chemical Physics 124 154506 (2006)