## Can the Efficiency of an Arbitrary Revrsible Cycle be Equal to the Efficiency of the Enclosing Carnot Cycle? Part a

**Authors:** Radhakrishnamurty Padyala

One of the major issues that remained controversial in classical thermodynamics is resolved. The issue is: Is it possible for the efficiency of an arbitrary reversible heat engine cycle to be equal to the efficiency of the enclosing Carnot cycle? Taking the simplest case of a reversible cycle that involves heat interactions at three different temperatures, we demonstrate that the answer is in the affirmative. We also show that if it is possible for the efficiency of an arbitrary reversible cycle to be lower than the efficiency of the enclosing Carnot cycle, then it is also possible for the efficiency of an arbitrary reversible cycle to be greater than the efficiency of the enclosing Carnot cycle. If the later is impossible, the former, too, is impossible. The later, however, is impossible according to Carnot’s corollary. Therefore, inequality of efficiencies of the two cycles is impossible. The only option left is equality of their efficiencies.

**Comments:** 6 Pages.

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### Submission history

[v1] 2013-10-23 05:05:23

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