Air enters a nozzle at 45 psia and 400 degree F, with a velocity of 100 ft/sec.
ID: 1857483 • Letter: A
Question
Air enters a nozzle at 45 psia and 400 degree F, with a velocity of 100 ft/sec. The inlet cross sectional area of the nozzle is 40.49 in2. The air leaves the nozzle at 15 psia with a velocity of 1553.6 ft/sec. The flow through the nozzle is adiabatic and steady, with negligible changes in potential energy. There is no mechanism for doing work inside the nozzle. The air may be treated as a calorically perfect gas with R = 53.35 ft-lbj/lbm- degree R, cp = 0.2400 Btu/lbm- degree R, cv = 0.1714 Btu/lbm- degree R, and k - cp/cv = 1.400. Determine: (a) the mass flow rate {Ibm/sec.} through the nozzle, (b) the exit temperature of the air {degree F}, and (c) the cross sectional area {in2} at the exit of the nozzle. Steam flows through a turbine at a mass flow rate of 12 kg/s. The steam enters the turbine at 10 MPa and 450 degree C, with a velocity of 80 m/s, and the steam leaves the turbine at 10 kPa and a quality of 0.92, with a velocity of 50 m/s. Changes in potential energy arc negligible. The flow through the turbine is adiabatic and steady. Determine: (a) the cross sectional area of the pipe {cm2} at the turbine inlet, (b) the change (outlet minus inlet) in the kinetic energy per unit mass of the steam [kJ/kg] flowing through the turbine, and (c) the power output of the turbine {MW}.Explanation / Answer
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