GATE XE (Engineering Sciences) 2022 - Question 81

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Section: Thermodynamics | Type: NAT | Marks: 2

An insulated rigid tank of volume 10 m3 contains air initially at 1 MPa and 600 K. A valve connected to the tank is opened, and air is allowed to escape until the temperature inside the tank drops to 400 K. The temperature of the discharged air can be approximated as the average of the initial and final temperatures of the air in the tank. Neglect kinetic and potential energies of the discharged air. Assume that air behaves as an ideal gas with constant specific heat so that internal energy v u c T = and enthalpy . p h c T = Then, the final pressure of the air in the tank is _______ MPa (round off to 2 decimal places). Assume 1.005 kJ/(kg K), / 1.4 p p v c c c γ = = =

Answer: 0.20 to 0.24

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