Air at Ti = 20°C and P₁ = 100 kPa enters a compressor with a mass flow rate of m= 0.025 kg/s through a circular inlet pipe having an inner diameter of D₁ =1 cm. The compressor operates at steady state. The mechanical power input to the compressor is We 3.5 kW. Air exits the compressor at T2 = 50°C and P₂ = 650 kPa. The diameter of the exit pipe is large and therefore the velocity of the air leaving the compressor is small and its kinetic energy negligible. However, the kinetic energy of the air entering the compressor is not negligible. The outlet of the compressor is connected to a rigid storage tank having a volume of Vtank 1.5 m³. The tank initially contains air at Pini ¡= 100 kPa. The pressure of the air within the tank rises as it is filled, but heat transfer between the tank and the surroundings keeps the temperature of the air in the tank always at Tank = 25°C. This is not adiabatic. Assume that the air obeys the ideal law with R compressor 287 J/kg-K. Assume that the specific heat capacities of air are constant and equal to cv = 717 J/kg-K and cp = 1005 J/kg-K. State and justify any other assumptions that you employ. = = Determine the mass of air in the tank after t = 200 sec of operation. Determine the pressure of the air in the tank after 200 sec of operation.

The feed to a compressor is superheated steam at 310°C and 40 bar. It enters the compressor at a velocity of 17 m/s. The pipe inlet inside diameter is 0.25 m. The discharging pipe, after the compressor, has a smaller inside diameter and the discharge velocity is 120 m/s. The exit of the compressor is superheated steam at 350°C and 85 bar absolute. Heat loss from the compressor to the surroundings is 3 kW. Determine the compressor horsepower

A wind tunnel is considered to be a steady-state operation, the system receives one hundred fifty pound- mass per minute of air at 285 psf, and 270 degrees Fahrenheit. The fluid is discharged from a point five meters above the datum/ reference point at 4,255 psf and 750 degrees Fahrenheit. Assuming that the velocity found at the inlet is 6,285 feet per minute and the Heat supplied is 580 BTU/min. During the process the density decreases by 15 percent and the internal energy is decreased by 1.05 horsepower. Determine the Work done in (a) Horsepower and BTU/s. (b) Considering the given on 3a, if the Work done is doubled, determine the Heat supplied during the process? (c) Considering the given on 3b, if Heat is doubled, what is the work done after 6 minutes?