The change in entropy between the two adiabatic lines of a Carnot cycle is 1 kcal/deg. The temperature difference between the two isothermal lines is equal to 100°C. What amount of heat will be converted into work during this cycle?
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Question

The change in entropy between the two adiabatic lines of a Carnot cycle is 1 kcal/deg. The temperature difference between the two isothermal lines is equal to 100°C. What amount of heat will be converted into work during this cycle?

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G1 Physics · Accepted Answer

Use the first law Q=ΔU+W (W by the gas), ΔU=nCᵥΔT for an ideal gas, and the appropriate process relation. For Carnot devices, let T₁ be the cold-reservoir temperature and T₂ be the hot-reservoir temperature; η=1−T₁/T₂ and COP=T₁/(T₂−T₁). Evaluating the given data/statements gives A: 420 kJ. Therefore the correct answer is A.