A compressor receives 0.1 kg / s of R-134a at 150 kPa, − 0 ° C and delivers it at 1200 kPa, 50°C. The power input is measured to be 3 kW. The compressor has heat transfer to air at 100 kPa coming in at 20°C and leaving at 30°C. What is the mass-flow rate of air?

The mass flow rate of air through the compressor is = 1.044

Explanation:

Mass flow rate refrigerant = 0.1

= - 0 °c = 273 K

= 50 °c = 323 K

= 3 KW

= 20 °c = 293 K

= 30 °c = 303 K

From the continuity equation

= 0.1

Put all the values in above formula

0.1 × 1.5 × ( 273 - 323 )  + 3 = × 1.005 × ( 303 - 293 )

10.5 = × 10.05

= 1.044

Therefore the mass flow rate of air through the compressor is = 1.044

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