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A gas refrigeration system utilizing air as the working fluid possesses a pressure ratio of 3. The air is directed into the compressor at 5°C. The high- pressure air is then cooled down to 40°C by rejecting heat to the ambient environment. The refrigerant exits the turbine at -85°C and subsequently absorbs heat from the cooling area prior to its entry into the regenerator. The mass flow rate of air is 0.45 kg/s. Given that the isentropic efficiencies are 82 percent for the compressor and 87 percent for the turbine, and using constant specific heats at ambient temperature, find: (a) The effectiveness of the regenerator.

A gas refrigeration system utilizing air as the working fluid possesses a pressure ratio of 3. The air is directed into the compressor at 5°C. The high- pressure air is then cooled down to 40°C by rejecting heat to the ambient environment. The refrigerant exits the turbine at -85°C and subsequently absorbs heat from the cooling area prior to its entry into the regenerator. The mass flow rate of air is 0.45 kg/s. Given that the isentropic efficiencies are 82 percent for the compressor and 87 percent for the turbine, and using constant specific heats at ambient temperature, find: (a) The effectiveness of the regenerator.

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 gas refrigeration system utilizing air as the working fluid possesses a pressure ratio of 3. The air is directed into the compressor at 5°C. The high- pressure air is then cooled down to 40°C by rejecting heat to the ambient environment. The refrigerant exits the turbine at -85°C and subsequently absorbs heat from the cooling area prior to its entry into the regenerator. The mass flow rate of air is 0.45 kg/s. Given that the isentropic efficiencies are 82 percent for the compressor and 87 percent for the turbine, and using constant specific heats at ambient temperature, find: (a) The effectiveness of the regenerator. (b) The rate at which heat is extracted from the cooling area. (c) The Coefficient of Performance (COP) of the cycle.
Transcribed Image Text:A gas refrigeration system utilizing air as the working fluid possesses a pressure ratio of 3. The air is directed into the compressor at 5°C. The high- pressure air is then cooled down to 40°C by rejecting heat to the ambient environment. The refrigerant exits the turbine at -85°C and subsequently absorbs heat from the cooling area prior to its entry into the regenerator. The mass flow rate of air is 0.45 kg/s. Given that the isentropic efficiencies are 82 percent for the compressor and 87 percent for the turbine, and using constant specific heats at ambient temperature, find: (a) The effectiveness of the regenerator. (b) The rate at which heat is extracted from the cooling area. (c) The Coefficient of Performance (COP) of the cycle.
Expert Solution
Step 1: Determine the given data:

Pressure ratio, PR = 3

Inlet temperature to the compressor, T1 = 5°C = 278K

Outlet temperature from the compressor, T2 = 85°C = 358K

Outlet temperature from the regenerator, T3 = 40°C = 313K

Mass flow rate of air, m = 0.45 kg/s

Isentropic efficiency of the compressor, ηc = 0.82

Isentropic efficiency of the turbine, ηt = 0.87

(Cp) for air is approximately 1005 J/(kg·K)

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