Clausius equation of state: Difference between revisions

Revision as of 15:12, 14 October 2009

The Clausius equation of state is given by

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

where

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

b = v_{c} - \frac{R T_{c}}{4 P_{c}}

and

c = \frac{3 R T_{c}}{8 P_{c}} - v_{c}

where $p$ is the pressure, $T$ is the temperature, $v$ is the volume per mol, and $R$ is the molar gas constant. $T_{c}$ is the critical temperature and $P_{c}$ is the pressure at the critical point, and <math> v_c <math> is the critical volume per mol.

References

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

@@ Line 13: / Line 13: @@
 :<math>c= \frac{3RT_c}{8P_c}-v_c</math>
-where <math>p</math> is the [[pressure]], <math>T</math> is the [[temperature]], <math> v </math> is the volume per mol,  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. The variables with subindex "c" refer to the critical values.
+where <math>p</math> is the [[pressure]], <math>T</math> is the [[temperature]], <math> v </math> is the volume per mol,  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, and <math> v_c <math> is the critical volume per mol.
 ==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]]

Clausius equation of state: Difference between revisions

Revision as of 15:12, 14 October 2009

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