Clausius equation of state: Difference between revisions

Revision as of 18:29, 6 February 2008

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^{2}T_{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.

@@ Line 1: / Line 1: @@
 The '''Clausius equation of state''' is given by
-:<math>\left[ P + \frac{a}{T(v+c)^2}\right] (v-b) =RT</math>
+:<math>\left[ p + \frac{a}{T(v+c)^2}\right] (v-b) =RT</math>
 where
@@ Line 13: / Line 13: @@
 :<math>c= \frac{27R^2T_c^2}{64P_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.
 ==References==
 #[http://dx.doi.org/10.1002/andp.18802450302 R. Clausius "Ueber das Verhalten der Kohlensäure in Bezug auf Druck, Volumen und Temperatur", Annalen der Physik und Chemie '''9''' pp. 337-357 (1880)]
 [[category: equations of state]]