Clausius equation of state: Difference between revisions

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:<math>c= \frac{3RT_c}{8P_c}-v_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.
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.
==References==
==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)]
#[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]]
[[category: equations of state]]

Revision as of 15:11, 14 October 2009

The Clausius equation of state is given by

[p+aT(v+c)2](v−b)=RT

where

a=27R2Tc264Pc
b=vc−RTc4Pc

and

c=3RTc8Pc−vc

where p is the pressure, T is the temperature, v is the volume per mol, and R is the molar gas constant. Tc is the critical temperature and Pc is the pressure at the critical point. The variables with subindex "c" refer to the critical values.

References

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