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The '''Clausius theorem''' | The '''Clausius theorem''' (also known as the [[Nicolas Léonard Sadi Carnot |Carnot]]-[[Rudolf Julius Emanuel Clausius |Clausius]] theorem) states that | ||
:<math>\oint \frac{dQ}{T} \leq 0</math> | :<math>\oint \frac{dQ}{T} \leq 0</math> | ||
where ''Q'' is the [[heat]] and ''T'' is the [[temperature]]. This equation becomes an equality for a reversible cycle. | where ''Q'' is the [[heat]] and ''T'' is the [[temperature]]. This equation becomes an equality for a reversible cycle. | ||
==See also== | ==See also== | ||
*[[Entropy]] | *[[Entropy]] | ||
*[[Second law of thermodynamics]] | *[[Second law of thermodynamics]] | ||
*[[Carnot cycle]] | *[[Carnot cycle]] | ||
==References== | ==References== | ||
#[http://dx.doi.org/10.1002/andp.18501550306 R. Clausius "Ueber die bewegende Kraft der Wärme und die Gesetze, welche sich daraus für die Wärmelehre selbst ableiten lassen", Annalen der Physik und Chemie '''79''' pp. 368-397 (1850)] | |||
# R. Clausius "On the Application of the Theorem of the Equivalence of Transformations to the Internal Work of a Mass of Matter", Philosophical Magazine '''24''' series 4 pp. 81-97 (1862) | |||
#[http://dx.doi.org/10.1002/andp.18652010702 R. Clausius "Ueber verschiedene für die Anwendung bequeme Formen der Hauptgleichungen der mechanischen Wärmetheorie", Annalen der Physik und Chemie '''125''' pp. 353-400 (1865)] | |||
#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]] | ||