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]], <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==
==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 16:12, 14 October 2009

The Clausius equation of state is given by

where

and

where is the pressure, is the temperature, is the volume per mol, and is the molar gas constant. is the critical temperature and is the pressure at the critical point, and <math> v_c <math> is the critical volume per mol.

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)