A well-insulated turbine operating at steady state develops 20 MW of power for a steam flow rate of 50 kg/s. The steam enters at 5 bar with a velocity of 61 m/s and exits as saturated vapor at 0.06 bar with a velocity of 130 m/s. Neglecting potential energy effects, determine the inlet temperature, in °C.

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.

1) A well-insulated turbine operating at steady state develops 28.75 MW of power for a steam flow rate of 50 kg/s. The steam enters at 25 bar with a velocity of 61 m/s and exits as saturated vapor at 0.06 bar with a velocity of 130 m/s. Neglecting potential energy effects, determine the inlet temperature, in °C.

If steam flows through a nozzle at steady-state, entering the nozzle with a pressure of 0.5 MPa and a temperature of 673 K, where H = 3272 kJ/kg, and exiting at 0.1 MPa and 623 K, where H = 3176 kJ/kg, what is its exiting velocity (in m/s)? Assume that the heat loss is 10% of the change in kinetic energy.