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/k with a pressure of 7 bar and specific volume of 0.16 m/kg. The internal energy of the air leavingis 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 Air compressor

Elements Of Electromagnetics
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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
Transcribed Image 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
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