Clausius equation of state

2009-10-17T12:25:00Z

218.168.79.114:

The '''Clausius equation of state''' is given by

:<math>\left[ p + \frac{a}{T(v+c)^2}\right] (v-b) =RT</math>

where

:<math>a = \frac{27R^2T_c^2}{64P_c}</math>

:<math>b= v_c - \frac{RT_c}{4P_c}</math>

and

:<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, and <math> v_c </math> is the critical volume per mol.
==References==
#[http://dx.doi.org/10.1002/andp.18802450302 R. Clausius "Über 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]]

Wohl equation of state

2009-10-17T12:19:57Z

218.168.79.114:

:<math>\left[ p + \frac{a}{Tv(v-b)} - \frac{c}{T^2v^3} \right] (v-b) = RT</math>

where

:<math>\left. a \right.= 6P_cT_cv_c^2</math>

:<math>b= \frac{v_c}{4}</math>

and

:<math>\left. c \right. = 4P_cT_c^2v_c^3</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==
#A. Wohl, Zeitschrift für Physikalische Chemie (Leipzig) '''87''' pp. 1- (1914) *(check this ref.)
[[category: equations of state]]

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Clausius equation of state

Wohl equation of state