1. Calculate the pressure of the air in kPa leaving the compressor (State 3).

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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3
Compressor
1
2
Dif fuser
Transcribed Image Text:3 Compressor 1 2 Dif fuser
A portion of a turbojet engine is shown in the figure below. Air flowing at 25
kg/s at 240 K and 80 kPa (State 1) enters an adiabatic and reversible diffuser
with a velocity of 250 m/s. It leaves the diffuser with negligible velocity (State
2). As a result, you may assume the velocity of the air leaving the diffuser is
small compared to the velocity of air entering the diffuser. The air is then
compressed in an adiabatic compressor with an isentropic efficiency of 80%.
The compressor requires 7 MW of power (work input). You may assume air is
an ideal gas with constant specific heats. Use the correct specific heats in the
table below in analyzing the different processes.
Air Properties
Cp
Cy
R
kJ/kgK kJ/kgK
kJ/kgK
Diffuser
(Process 1 to 2)
Compressor
(Process 2 to 3)
1.003
0.716
0.287
1.014
0.727
0.287
1. Calculate the pressure of the air in kPa leaving the compressor (State 3).
Transcribed Image Text:A portion of a turbojet engine is shown in the figure below. Air flowing at 25 kg/s at 240 K and 80 kPa (State 1) enters an adiabatic and reversible diffuser with a velocity of 250 m/s. It leaves the diffuser with negligible velocity (State 2). As a result, you may assume the velocity of the air leaving the diffuser is small compared to the velocity of air entering the diffuser. The air is then compressed in an adiabatic compressor with an isentropic efficiency of 80%. The compressor requires 7 MW of power (work input). You may assume air is an ideal gas with constant specific heats. Use the correct specific heats in the table below in analyzing the different processes. Air Properties Cp Cy R kJ/kgK kJ/kgK kJ/kgK Diffuser (Process 1 to 2) Compressor (Process 2 to 3) 1.003 0.716 0.287 1.014 0.727 0.287 1. Calculate the pressure of the air in kPa leaving the compressor (State 3).
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