Berthelot equation of state

$RT=\left(p+{\frac {a}{Tv^{2}}}\right)\left(v-b\right)$

where

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle a={\frac {27}{64}}R{\frac {T_{c}^{3}}{P_{c}}}}

and

$b={\frac {RT_{c}}{8P_{c}}}$

where $p$ is the pressure, $T$ is the temperature and $R$ is the molar gas constant. 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_c} is the critical 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 P_c} is the pressure at the critical point.

References

1. D. J. Berthelot "", J. Phys., 8 pp. 263- (1899)