A commercial airliner is flying at an altitude where the temperature and pressure of the air are -50°C and 26.5 kPa. An engine-driven compressor will take this air at T₁ = -50°C, P₁ = 26.5 kPa and compress it to P₂ = P₂ = 85.0 kPa to pressurize the cabin. The air will be very hot when it exits the compressor, so a heat exchanger will be used to cool the air to T = 20°C before it enters the cabin. Cold air at T₁ = -50°C will be used in the heat exchanger to cool the cabin air, and this air will exit the heat exchanger at T = 20°C (this air will be used to heat the cargo bay). The mass flow rate of the air delivered to the cabin is 0.80 kg/s and the compressor efficiency is 75%. Model the air as an ideal gas having constant specific heat, using 300 K values from Cengel's tables posted on Canvas. a) Find the actual temperature of the air exiting the compressor and the power input to the compressor (answers: 67.6°C and 94.5 kW). b) Find the rate of heat transfer in the heat exchanger and the mass flow rate of the cold air being used to cool the cabin air (answers: 38.2 kW and 0.544 kg/s). We COMPRESSOR P₂ = 85.0 kPa T₁ = -50°C P₁ = 26.5 kPa T₁ = 20°C 5 Compressor 1 2 www wwwwwwww Heat Exchanger T₁= -50°C 4 Cooling Air Cabin Air 3 T, = 20°C P₁ = 85.0 kPa
A commercial airliner is flying at an altitude where the temperature and pressure of the air are -50°C and 26.5 kPa. An engine-driven compressor will take this air at T₁ = -50°C, P₁ = 26.5 kPa and compress it to P₂ = P₂ = 85.0 kPa to pressurize the cabin. The air will be very hot when it exits the compressor, so a heat exchanger will be used to cool the air to T = 20°C before it enters the cabin. Cold air at T₁ = -50°C will be used in the heat exchanger to cool the cabin air, and this air will exit the heat exchanger at T = 20°C (this air will be used to heat the cargo bay). The mass flow rate of the air delivered to the cabin is 0.80 kg/s and the compressor efficiency is 75%. Model the air as an ideal gas having constant specific heat, using 300 K values from Cengel's tables posted on Canvas. a) Find the actual temperature of the air exiting the compressor and the power input to the compressor (answers: 67.6°C and 94.5 kW). b) Find the rate of heat transfer in the heat exchanger and the mass flow rate of the cold air being used to cool the cabin air (answers: 38.2 kW and 0.544 kg/s). We COMPRESSOR P₂ = 85.0 kPa T₁ = -50°C P₁ = 26.5 kPa T₁ = 20°C 5 Compressor 1 2 www wwwwwwww Heat Exchanger T₁= -50°C 4 Cooling Air Cabin Air 3 T, = 20°C P₁ = 85.0 kPa
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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Transcribed Image Text:A commercial airliner is flying at an altitude where the temperature and pressure of
the air are -50°C and 26.5 kPa. An engine-driven compressor will take this air at
T= -50°C, P₁ = 26.5 kPa and compress it to P₂ = P₂ = 85.0 kPa to pressurize the
cabin. The air will be very hot when it exits the compressor, so a heat exchanger will be
used to cool the air to T, = 20°C before it enters the cabin. Cold air at T₁ = -50°C will
be used in the heat exchanger to cool the cabin air, and this air will exit the heat
exchanger at T = 20°C (this air will be used to heat the cargo bay). The mass flow rate
of the air delivered to the cabin is 0.80 kg/s and the compressor efficiency is 75%.
Model the air as an ideal gas having constant specific heat, using 300 K values from
Cengel's tables posted on Canvas.
a) Find the actual temperature of the air exiting the compressor and the power input
to the compressor (answers: 67.6°C and 94.5 kW).
b) Find the rate of heat transfer in the heat exchanger and the mass flow rate of the
cold air being used to cool the cabin air (answers: 38.2 kW and 0.544 kg/s).
W
COMPRESSOR
P₂ = 85.0 kPa
T₁ = -50°C
P₁ = 26.5 kPa
T', = 20°C
5
Compressor
1
2
wwwwwww
www
Heat
Exchanger
T₁ = -50°C
4
Cooling Air
→ Cabin Air
3
T, = 20°C
P3= 85.0 kPa
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