One mole of an ideal gas is taken reversibly from state $A$ to $C$ through path $A BC$ as shown below. If the gas is brought back to state A through the path CDBEA as shown in the figure. What is the magnitude of net heat (in Joule) per complete cycle? [Given: $1 L atm = 100 J, h 2 = 0.7$ ]

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W ABC ​ = − PV ln P 2 ​ P 1 ​ ​ W CDBEA ​ = W DB ​ + W EA ​ = − 2 ln 4 = 1.2 × 2.5 + 0.3 × 4 = − 2 × 2 × 0.7 = − 2.8 atm L = 4.2 L atm W n e t ​ = − 2.8 + 4.2 = 1.4 L atm = 140 J Δ U = q + W W = − q q = − 140 J .

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