Second law of thermodynamics: Difference between revisions
Carl McBride (talk | contribs) m (Added a classic reference) |
Carl McBride (talk | contribs) m (→References: Corrected reference) |
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*[[H-theorem]] | *[[H-theorem]] | ||
==References== | ==References== | ||
# "Reflexions sur la Puissance Motrice de Feu et sur les Machines Propres a Développer cette Puissance" (1824) | # Nicolas Léonard Sadi Carnot "Reflexions sur la Puissance Motrice de Feu et sur les Machines Propres a Développer cette Puissance" (1824), printed in [http://www.numdam.org/item?id=ASENS_1872_2_1__393_0 Annales scientifiques de l'École Normale Supérieure Sér. '''2''', 1 pp. 393-457 (1872)] | ||
[[Category: Classical thermodynamics]] | [[Category: Classical thermodynamics]] | ||
Revision as of 15:35, 10 April 2008
For a reversible change
- 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.dQ\right.=TdS}
Thus for a closed system (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 n} fixed):
- 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.dU\right.=TdS -PdV}
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 U} is the internal energy. For an open system:
- 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.dU\right.=TdS -PdV + \mu dN}
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 \mu} is the chemical potential.
For 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 U(S,V)} one has the following total differential
- 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 dU=\left(\frac{\partial U}{\partial S}\right)_V dS + \left(\frac{\partial U}{\partial V}\right)_S dV}
See also
References
- Nicolas Léonard Sadi Carnot "Reflexions sur la Puissance Motrice de Feu et sur les Machines Propres a Développer cette Puissance" (1824), printed in Annales scientifiques de l'École Normale Supérieure Sér. 2, 1 pp. 393-457 (1872)