Air is compressed from 100 kPa and 22°C to a pressure of 1 MPa while being cooled at a rate of 16 kJ/kg. The volume flow rate of the air at the inlet conditions is 150 m/min, and the power input to the compressor is 500 kW. Determine (a) the mass flow rate of the air and (b) the temperature at the compressor exit.

Q.3 A converging-diverging nozzle is supplied by a huge air reservoir. The nozzle has a throat area of 10 cm? and an exit area of 20 cm?. The reservoir conditions are P. = 300 kPa and To = 30 °C. Determine the range of the back pressure over which (a) shocks appear in the nozzle, (b) oblique shocks form at the exit, and (c) expansion waves form. (d) Calculate the mass flow rate through the nozzle for the case in which a normal shock appears at the exit plane.

Question 2 A water pump driven by an 800 W electric motor is used to pump water from the ground level to a tank at the rate of 20000 L/hour. Water is being discharged into the tank at 10 meters above the ground; this is the maximum rise this pump can achieve. The water and the ambient temperatures are both 10 °C. The inlet and outlet pipe diameters for the pump are both 8 cm, respectively. Determine: (1)/ The average inlet linear flow velocity of the water; 2) Assuming the efficiency of the electric motor is 95%, calculate the efficieney-of the motor-pump unit; 3) The pressure difference between the inlet and the outlet of the pump.

A gas turbine power plant with the following specifications: two axial compressor stages, the pressure ratio is 6/1 for each compressor. The inlet and exit angles of both moving and fixed blades are 40° and 20° respectively, the work done factor is 0.82, six stages for each compressor. intercooling between stages. A high pressure turbine is used to drive the compressors, and a low pressure turbine drives the generator. The temperature of the gases at entry to the high pressure turbine is 600°C and the gases are reheated to 700°C after expansion in the first turbine. The exhaust gases leaving the low pressure turbine are passed through a heat exchanger to heat the air leaving the high pressure stage compressor. The air inlet temperature to the unit is 20°C. The isentropic efficiency of each turbine stage is 0.95; the heat exchanger thermal ratio is 0.7. A mechanical loss is 5% for both the generator- turbine shaft and the compressor- turbine shaft. Assume any missed values to Calculate…

Air at 150 kPa and 25°C is transported through a 2-inch Schedule 40 commercial steel pipe. Consider that the air behaves as an ideal gas, that the flow is adiabatic and that the Mach number under these conditions of pressure and temperature is 0.35. Calculate the length of the pipe when the air pressure and temperature decrease to 54.375 kPa and -10.6°C.