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Question

Why is carnot's engine the most efficient?

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Solution

An ideal carnot engine transferes dQ (=Q1-Q2 ) amount of heat from teh source(TH) to thesink(TC) without any loss of energy if TH>TC. In a full carnot cycle the change in internal energy and the system entropy is =0 and depending on the direction of the cyclein P-V space it can work like a engine or a refrigeratortherefore the work done W=dQand efficiency η=dQQ1=Q1-Q2Q1=1-Q2Q1therefore ideal theoretical carnot cycle is the most efficient.

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