A monoatomic ideal gas follows the cycle A(V, P) to B(V, 2P) to C(2V, 2P) to D(2V, P) and back to A, in straight segments on a P - V plane. Find the efficiency of the cycle in percent (one decimal).

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TestHub · Accepted Answer

Net work = area = P V . Heat is absorbed along AB and BC. AB (isochoric): 2 3 ​ ( 2 P V − P V ) = 1.5 P V . BC (isobaric): 2 5 ​ ( 4 P V − 2 P V ) = 5 P V . Q in ​ = 6.5 P V . η = 6.5 1 ​ = 15.4% . (CD and DA release heat.)

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