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Carnots Theorem and the Entropy of Clausius

We can redraw the Carnot cycle in a slightly simplified form  [Pg.134]

Without loss of generality, this summation could be extended to all four limbs (i = 1. 4) of the Carnot cycle (because adiabatic steps contribute nothing to the sum), [Pg.134]

It was recognized by Carnot that cyclic integrals of the form (4.24c) must actually vanish for all reversible cycles  [Pg.135]

The proof of this important theorem is sketched in Sidebar 4.7. [Pg.135]

Given the validity of (4.25b) for any Carnot cycle, we can extend the result to a general cyclic path, as shown in the following diagram  [Pg.135]




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Carnot

Carnot theorem

Clausius

Clausius theorem

Entropy theorem

THE THEOREM

The Entropy

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