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A three stage, single-acting air compressor  with a polytropic index of 1.22 in all stages, runs in an atmosphere at 101.3 kPa and 25°C. It has a FAD of 4.2 m^3/min with a delivery pressure of 1.8 MPa. Induction occurs at 92 kPa and 34°C. The mechanical and motor-drive efficiencies are 80% and 93% respectively. Assume  complete inter-cooling and neglect clearance volume.

A three stage, single-acting air compressor  with a polytropic index of 1.22 in all stages, runs in an atmosphere at 101.3 kPa and 25°C. It has a FAD of 4.2 m^3/min with a delivery pressure of 1.8 MPa. Induction occurs at 92 kPa and 34°C. The mechanical and motor-drive efficiencies are 80% and 93% respectively. Assume  complete inter-cooling and neglect clearance volume.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A three stage, single-acting air compressor  with a polytropic index of 1.22 in all stages, runs in an atmosphere at 101.3 kPa and 25°C. It has a FAD of 4.2 m^3/min with a delivery pressure of 1.8 MPa. Induction occurs at 92 kPa and 34°C. The mechanical and motor-drive efficiencies are 80% and 93% respectively. Assume  complete inter-cooling and neglect clearance volume.

Cp= 1.006 kJ/kg K 

Cv= 0.717 kJ/kg K

1) which formula should be used to determine the indicated power of the compressor?

2) calculate the indicated power of the compressor in kW?

3) which formula should be used to determine the input power required from an electric motor?

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