Steam enters a converging-diverging nozzle (as shown in Figure 1) operating at steady state with p1 = 40 bar, T1 = 400° C, and a velocity of 10 m/s. The steam flows through the nozzle with negligible heat transfer and no significant change in potential energy. At the exit, p2 = 15 bar, and the velocity is 665 m/s. The mass flow rate is 2 kg/s. Determine the exit area of the nozzle, in m?. m = 2 kg/s -Insulation P2 = 15 bar V2 = 665 m/s P1 = 40 bar T = 400°C V = 10 m/s 2 Control volume 1 boundary Figure 1

Carbon dioxide gas is compressed at a steady state from a pressure of 16 lbf/in2 and a temperature of 32oF to a pressure of 50 lbf/in2 and a temperature of 130oF. The gas enters the compressor with a velocity of 30 ft/s and exits with a velocity of 80 ft/s. The mass flow rate is 3500 lb/hr. The magnitude of the heat transfer rate from the compressor to its surroundings is 5% of the compressor power input. Use the ideal gas model with cp = 0.21 Btu/lb·oR and neglect potential energy effects. A.) Determine the flow area at the inlet, in ft2, B.) and the power required by the compressor to work, in horsepower. Show complete solutions.

Air enters a diffuser operating at steady state at 540°R, 15 Ilbf/in.?, with a velocity of 600 ft/s, and exits with a velocity of 60 ft/s. The ratio of the exit area to the inlet area is 6. Assuming the ideal gas model for the air and ignoring heat transfer, determine the temperature, in °R, and pressure, in Ibf/in.?, at the exit.

9. thermodynamics