Editing Clausius equation of state
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The '''Clausius''' [[Equations of state | equation of state]] | The '''Clausius''' [[Equations of state | equation of state]] is given by <ref>[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)]</ref> | ||
:<math>\left[ p + \frac{a}{T(v+c)^2}\right] (v-b) =RT | :<math>\left[ p + \frac{a}{T(v+c)^2}\right] (v-b) =RT</math> | ||
where | where | ||
:<math>a = | :<math>a = \frac{27R^2T_c^2}{64P_c}</math> | ||
:<math>b= v_c - \frac{RT_c}{4P_c}</math> | :<math>b= v_c - \frac{RT_c}{4P_c}</math> | ||
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and | and | ||
:<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, and <math> v_c </math> is the critical volume per mol. | |||
==References== | ==References== | ||
<references/> | <references/> | ||
[[category: equations of state]] | [[category: equations of state]] |