Clausius equation of state: Difference between revisions

Revision as of 10:17, 14 October 2009

The Clausius equation of state is given by

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

where

a={\frac {27R^{2}T_{c}^{2}}{64P_{c}}}

b=v_{c}-{\frac {RT_{c}}{4P_{c}}}

and

c={\frac {3RT_{c}}{8P_{c}}}-v_{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.

@@ Line 5: / Line 5: @@
 where
-:<math>a = v_c - \frac{RT_c}{4P_c}</math>
+:<math>a = \frac{27R^2T_c^2}{64P_c}</math>
-:<math>b= \frac{3RT_c}{8P_c}-v_c</math>
+:<math>b= v_c - \frac{RT_c}{4P_c}</math>
 and
-:<math>c= \frac{27R^2T_c^2}{64P_c}</math>
+:<math>c= \frac{3RT_c}{8P_c}-v_c</math>
 where <math>p</math> is the [[pressure]], <math>T</math> is the [[temperature]] and <math>R</math> is the [[molar gas constant]]. <math>T_c</math> is the [[critical points | critical]] temperature and <math>P_c</math> is the [[pressure]] at the critical point.