Talk:Clausius theorem

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[edit] Is the theorem proved in this article?

The article says, "Thus the heat and work in the process a-b and a-c-d-b are the same and any reversible process a-b can be replaced with a combination of isothermal and adiabatic processes, which is the Clausius theorem."

I don't see how the Clausius theorem (which is given formally at the beginning of the article) follows from the conclusion above.

Anyone know?

--Masud 14:51, 12 June 2006 (UTC)

Incidentally, I find the proof given here more understandable (than other proofs based on separating a reversible cycle into many Carnot cycles): http://theory.ph.man.ac.uk/~judith/stat_therm/node30.html.
Anyone up for incorporating that into this article?
--Masud 14:48, 13 June 2006 (UTC)

[edit] Math cleanup

The inequality signs in this article are backwards, the original paper is below:

  • Clausius, R. (1865). The Mechanical Theory of Heat – with its Applications to the Steam Engine and to Physical Properties of Bodies. London: John van Voorst, 1 Paternoster Row. MDCCCLXVII.

The whole page will need to be cleaned. --Sadi Carnot 15:35, 30 September 2007 (UTC)