Dieterici equation of state: Difference between revisions
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:<math>b=\frac{RT_c}{P_ce^2}</math> | :<math>b=\frac{RT_c}{P_ce^2}</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== | ==References== | ||
# C. Dieterici, Ann. Phys. Chem. Wiedemanns Ann. 69, 685 (1899) | # C. Dieterici, Ann. Phys. Chem. Wiedemanns Ann. 69, 685 (1899) | ||
Revision as of 17:30, 6 February 2008
The Dieterici equation of state, proposed in 1899 (Ref. 1) is given by
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left. p(v-b) \right.= RT e^{-a/RTv}}
where
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a = \frac{4R^2T_c^2}{P_ce^2}}
and
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b=\frac{RT_c}{P_ce^2}}
where Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle p} is the pressure, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle T} is the temperature and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle R} is the molar gas constant. Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle T_c} is the critical temperature and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle P_c} is the pressure at the critical point.
References
- C. Dieterici, Ann. Phys. Chem. Wiedemanns Ann. 69, 685 (1899)
- K. K. Shah and G. Thodos "A Comparison of Equations of State", Industrial & Engineering Chemistry 57 pp. 30 - 37 (1965)
- Richard J. Sadus "Equations of state for fluids: The Dieterici approach revisited", Journal of Chemical Physics 115 pp. 1460-1462 (2001)