Question

1.Water vapor contained in a piston–cylinder assembly undergoes an isothermal expansion at 277°C from a pressure of 5.1 bar to a pressure of 2.7 bar. Evaluate the work, in kJ/kg.

2.Nitrogen (N₂) contained in a piston–cylinder arrangement, initially at 9.3 bar and 437 K, undergoes an expansion to a final temperature of 300 K, during which the pressure–volume relationship is pV^1.1 = constant. Assuming the ideal gas model for the N₂, determine the heat transfer in kJ/kg.

3.Argon contained in a closed, rigid tank, initially at 64.4°C, 3 bar, and a volume of 1.5 m³, is heated to a final pressure of 4.6 bar. Assuming the ideal gas model with k = 1.49 for the argon, determine the heat transfer, in kJ.

4.A mass of 4 kilograms of carbon dioxide (CO₂) in a piston-cylinder assembly undergoes two processes in series from an initial state where p₁ = 3 MPa, T₁ = 280°C:

Process 1–2: Constant-temperature expansion until the volume is twice the initial volume.

Process 2–3: Constant-volume heating until the pressure is again 3 MPa.

Assuming ideal gas behavior, determine the overall work, in kJ.

5.A piston–cylinder assembly contains air, initially at 1.5 bar, 204 K, and a volume of 1.1 m³. The air undergoes a process to a state where the pressure is 0.7 bar, during which the pressure–volume relationship is pV = constant. Assuming ideal gas behavior for the air, determine the mass in kg.

Answer 1

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