Clausius equation of state

The Clausius equation of state is given by

$\left[P+{\frac {a}{T(v+c)^{2}}}\right](v-b)=RT$

where

$a=v_{c}-{\frac {RT_{c}}{4P_{c}}}$

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 b= \frac{3RT_c}{8P_c}-v_c}

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 c= \frac{27R^2T_c^2}{64P_c}}

References

1. R. Clausius "Ueber das Verhalten der Kohlensäure in Bezug auf Druck, Volumen und Temperatur", Annalen der Physik und Chemie 9 pp. 337-357 (1880)