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

$a = v_c - \frac{RT_c}{4P_c}$

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

and

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

where $p$ is the pressure, $T$ is the temperature and $R$ is the molar gas constant. $T c$ is the critical temperature and $P c$ is the pressure at the critical point.

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