GATE XE (Engineering Sciences) 2025 - Question 82

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Section: Thermodynamics | Type: NAT | Marks: 2

A piston-cylinder assembly having 250 mm diameter contains 0.01 kg of water vapor at 1 MPa and 200 °C. The specific volume of the vapor is 0.20602 m3/kg. The system expands as per the relation 𝑝𝑉𝑛 = constant, where p is pressure and V is volume. The expansion of water vapour displaces the piston by 50 mm. If the final pressure is 0.35 MPa, the value of the exponent (𝑛) is __________ (rounded off to two decimal places).

Answer: 1.30 to 1.38

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