The compressor of a large gas turbine receives air from the ambient surroundings at 95 kPa and 20 ºC with a low velocity. At the compressor discharge, air exits at 1.25 MPa and 430 ºC with a velocity of 90 m/s. The power input to the compressor is 5000 kW. Determine the mass flow rate of air through the unit

The mass flow rate is m = 12.0 kg/s

Explanation:

From the question we are given the following parameters

          inlet temperature , °C = 293 K

         inlet pressure ,        

          Outlet pressure

          Outlet temperature , °C

          Final velocity ,

           Power Input ,

Considering the energy equation we have

                      q is the net heat transferred

                     w is the net workdone  

Lets assume that q = 0 and Hence in this question the specific heat capacity is constant

= >                  

The division by 1000 is to convert the kinetic energy to KJ

Note the specific heat of air is 1.004  kJ/kg⋅K

The mass flow rate is given as  

Where Z is The power input to the compressor which is given as  5000 kW

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