Dieterici equation of state

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The Dieterici equation of state [1] is given by

where (Eq. 8 in [2]):


where is the pressure, is the temperature and is the molar gas constant. is the critical temperature and is the pressure at the critical point.

Sadus modification[edit]

Sadus [3] proposed replacing the repulsive section of the Dieterici equation with the Carnahan-Starling equation of state, which is often used to describe the equation of state of the hard sphere model, resulting in (Eq. 5):

where is the packing fraction.

This equation gives: