Beattie-Bridgeman equation of state

The Beattie-Bridgeman equation of state is given by (Ref. 1 Eq. 1)

$p={\frac {RT(1-\epsilon )}{v^{2}}}(v+B)-{\frac {A}{v^{2}}}$

where

$A=A_{0}\left(1-{\frac {a}{v}}\right)$

$B=B_{0}\left(1-{\frac {b}{v}}\right)$

and

$\epsilon ={\frac {c}{vT^{3}}}$

where $p$ is the pressure, $T$ is the temperature and $R$ is the molar gas constant.

References

1. James A. Beattie and Oscar C. Bridgeman "A NEW EQUATION OF STATE FOR FLUIDS. I. APPLICATION TO GASEOUS ETHYL ETHER AND CARBON DIOXIDE", Journal of the American Chemical Society 49 pp. 1665 - 1667 (1927)
2. James A. Beattie and Oscar C. Bridgeman "A NEW EQUATION OF STATE FOR FLUIDS. II. APPLICATION TO HELIUM, NEON, ARGON, HYDROGEN, NITROGEN, OXYGEN, AIR AND METHANE", Journal of the American Chemical Society 50 pp. 3133 - 3138 (1928)