Air enters a compressor at 100 kpa, 10°c, and 220 m/s through an inlet area of 2 m2. the air exits at 2 mpa and 240°c through an area of 0.5 m2. including the change in kinetic energy, determine the power consumed by this compressor, in kw.

Power consume by compressor=113,726.87 KW

Explanation:

Given:

Actually compressor is an open system, so here we will use first law of thermodynamics for open system .

We know that first law of thermodynamics for steady flow

We know thatand we take the air as ideal gas.

System is in steady state then mass flow rate in =mass flow rate out

Mass flow rate=

So mass flow rate =     ,

                                   =1.23×200×2 Kg/s

                                  =541.17 Kg/s

 ,

=80.07 m/s

Enthalpy of ideal gas h=

So

Now by putting the values

Here Q=0 because heat transfer is zero here.

W= -210.15 KJ/kg

So power consume by compressor=541.17×210.15

                                                          =113,726.87 KW