Clausius equation of state: Difference between revisions

Revision as of 09:56, 20 October 2009

The Clausius equation of state is given by ^[1]

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

where

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

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

and

c = \frac{27 R^{2} T_{c}^{2}}{64 P_{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 $v_{c}$ is the critical volume per mol.

References

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

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

[1]

@@ Line 5: / Line 5: @@
 where
-:<math>a = \frac{27R^2T_c^2}{64P_c}</math>
+:<math>a = v_c - \frac{RT_c}{4P_c}</math>
-:<math>b= v_c - \frac{RT_c}{4P_c}</math>
+:<math>b= \frac{3RT_c}{8P_c}-v_c</math>
 and
-:<math>c= \frac{3RT_c}{8P_c}-v_c</math>
+:<math>c= \frac{27R^2T_c^2}{64P_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, and <math> v_c </math> is the critical volume per mol.

Clausius equation of state: Difference between revisions

Revision as of 09:56, 20 October 2009

References

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