Editing Clausius equation of state
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The '''Clausius''' [[Equations of state | equation of state]], proposed in 1880 by [[Rudolf Julius Emanuel Clausius]] <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> <ref>[http://dx.doi.org/10. | The '''Clausius''' [[Equations of state | equation of state]], proposed in 1880 by [[Rudolf Julius Emanuel Clausius]] <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> is given by (Equations 3 and 4 in <ref>[http://dx.doi.org/10.1021/ie50663a005 K. K. Shah and G. Thodos "A Comparison of Equations of State", Industrial & Engineering Chemistry '''57''' pp. 30-37 (1965)]</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 = v_c - \frac{RT_c}{4P_c}</math> | |||
:<math> | :<math>b= \frac{3RT_c}{8P_c}-v_c</math> | ||
and | |||
:<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. | |||
==References== | ==References== | ||
<references/> | <references/> | ||
[[category: equations of state]] | [[category: equations of state]] |