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 Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle p} is the pressure, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle T} is the temperature and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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)