# Equations of state for hard sphere mixtures

The following are equations of state for mixtures of hard spheres.

## Contents

## Mansoori, Carnahan, Starling, and Leland[edit]

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[edit]

Ref. 2

## Hansen-Goos and Roth[edit]

Ref. 3 Based on the Carnahan-Starling equation of state

## References[edit]

- 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)