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Unformatted text preview: rgy is conserved in each. In the final cycle on the right we add together C* and Crev to make a new engine that is just the linear combination of the putative more efficient cycle and the reverse of the Carnot cycle amped up by 1+x to match the work output of C*. The sum of these two engines (shown on the far right) moves heat from the cold side to the warm side without any input of energy, which is a contradiction of the Second Law. Therefore we conclude that x must be zero and that one cannot produce a more efficient engine than the Carnot Cycle....
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 Spring '14

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