Air flows steadily at a rate of 0.5 kg/s through an air compressor. It enters the compressor at a velocity of 6 m/s with a pressure of 1 bar and specific volume of 0.85 m/kg and leaves at a velocity...

Extracted text: Air flows steadily at a rate of 0.5 kg/s through an air compressor. It enters the compressor at a velocity of 6 m/s with a pressure of 1 bar and specific volume of 0.85 m/kg and leaves at a velocity of 5 m/s with a pressure of 7 bar and specific volume of 0.16 m/kg. The internal energy of the air leaving is 90 kJ/kg greater than that of air entering (u-u: = 90 kJ/kg). Cooling water in a jacket surrounding the cylinder absorbs heat from the air at a rate of 60 kJ/s. Answer the following; a. What are the main assumptions b. Calculate the power required to drive the compressor, in kJ/kg c. Calculate the inlet and outlet cross-sectional areas? Air in Air out Air compressor dm m, conservation of mass dt conservation of Energy : dt dEes We + m u, + Pp,+ + 82 mu. + pve +