Two moles of an ideal gas (C v,m = 1.5R) are subjected to the following changes in states: A (600 K, 6 bar) →(Reversible Isothermal Expansion) B →(Isochoric Cooling) C (300 K, 1 bar) →(Single stage ad

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Two moles of an ideal gas (C v,m = 1.5R) are subjected to the following changes in states: A (600 K, 6 bar) →(Reversible Isothermal Expansion) B →(Isochoric Cooling) C (300 K, 1 bar) →(Single stage adiabatic compression against 2 bar) D The correct statement(s) is/are

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B to C is at constant V: P B = 1 × 600/300 = 2 bar: (b) true. Δ U BC = 2(1.5R)(-300) = -900R, so (a) is false. C to D is adiabatic against P ext = 2 bar: nC v (T D - 300) = -P ext (V D - V C ) with V C = 2R(300)/1 = 600R and V D = 2RT D /2 = RT D . So 3(T D - 300) = -2T D + 1200, 5T D = 2100, T D = 420 K: (c) true. Δ H CD = 2(2.5R)(120) = 600R: (d) true. Ans: (b), (c), (d).

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