Q.1: (60 Pt.) 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...

Extracted text: Q.1: (60 Pt.) 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-u1 = 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 Qout Air compressor dme = m, - m. dt conservation of mass dE conservation of Energy : Oey - Wey + m( u; + pv, + + gz m. u, + pvet + gze dt