Air with an initial density of 1.285 kg/m³ is passed through a compressor with an inlet diameter of 50 mm. The air enters the compressor at a speed of 60 m/s and a pressure of 105 kPa. At the outlet, the diameter of the pipe is 10 mm. The pressure is 7 bar, and the density of the air is 6 kg/m?. The rate of heat loss from the compressor is 2 kW. (a) Determine the temperatures at the inlet and outlet. The gas constant for air, R = 287 J/kgK. (b) Determine the mass flow rate for the air and the speed of the air at the outlet. (c) Write down a simplified version of the first law for this system. (d) Determine the required rate of work input to the power the compressor. The specific heat capacity of air, Cp = 1005 J/kgK.

Air with an initial density of 1.285 kg/m³ is passed through a compressor with an inlet diameter of 50 mm. The air enters the compressor at a speed of 60 m/s and a pressure of 105 kPa. At the outlet, the diameter of the pipe is 10 mm. The pressure is 7 bar, and the density of the air is 6 kg/m?. The rate of heat loss from the compressor is 2 kW. (a) Determine the temperatures at the inlet and outlet. The gas constant for air, R = 287 J/kgK. (b) Determine the mass flow rate for the air and the speed of the air at the outlet. (c) Write down a simplified version of the first law for this system. (d) Determine the required rate of work input to the power the compressor. The specific heat capacity of air, Cp = 1005 J/kgK.

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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Question

Air with an initial density of 1.285 kg/m³ is passed through a compressor with an inlet diameter of
50 mm. The air enters the compressor at a speed of 60 m/s and a pressure of 105 kPa.
At the outlet, the diameter of the pipe is 10 mm. The pressure is 7 bar, and the density of the air
is 6 kg/m?. The rate of heat loss from the compressor is 2 kW.
(a) Determine the temperatures at the inlet and outlet. The gas constant for air, R = 287
J/kgK.
(b) Determine the mass flow rate for the air and the speed of the air at the outlet.
(c) Write down a simplified version of the first law for this system.
(d) Determine the required rate of work input to the power the compressor. The specific heat
capacity of air, Cp = 1005 J/kgK.

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