Air enters an adiabatic compressor through 0:5m2 opening and exhausts through a 0:2m2 opening. The inlet conditions of air are 200 kPa and 52C with an unknown velocity and exits at 3 MPa and 427C with a velocity of 100 m/s. Determine the mass ow rate of air through the compressor, the inlet velocity and the power required to run the compressor.

i) 43.55 kg/s

ii) 40 m/s

iii)  -199.32 KW

Explanation:

To resolve the above question we have to make some assumptions :

i) first we have to determine the mass flow rate of the air

M =

    = ---------- (1) hence  M = 43.55 kg/s

ii) using this relationship : A1V1 = A2V2 hence V1 = (0.2/0.5) * 100 = 40m/s (    inlet velocity )

input this value into equation 1

iii) Next we will determine the power required to run compressor

attached below

power required = -199.32 KW ( this value indicates that there is power supplied )

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