A gas refrigeration system utilizing air as the working fluid possesses apressure ratio of 3. The air is directed into the compressor at 5°C. The highpressure air is then cooled down to 40°C by rejecting heat to the ambienenvironment. The refrigerant exits the turbine at 85°C and subsequentlyabsorbs heat from the cooling area prior to its entry into the regenerator. Themass flow rate of air is 0.45 kg/s. Given that the iClosetropic efficiencies are 82percent for the compressor and 87 percent for the turbine, and using constanspecific 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.

Pressure ratio, PR = 3Inlet temperature to the compressor, T1 = 5°C = 278KOutlet temperature from…

A gas refrigeration system utilizing air as the working fluid possesses 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 ambien environment. The refrigerant exits the turbine at 85°C and subsequently absorbs heat from the cooling area prior to its entry into the regenerator. Th mass flow rate of air is 0.45 kg/s. Given that the iClostropic efficiencies are 82 percent for the compressor and 87 percent for the turbine, and using constan 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.

A gas refrigeration system utilizing air as the working fluid possesses 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 ambien environment. The refrigerant exits the turbine at 85°C and subsequently absorbs heat from the cooling area prior to its entry into the regenerator. Th mass flow rate of air is 0.45 kg/s. Given that the iClostropic efficiencies are 82 percent for the compressor and 87 percent for the turbine, and using constan 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.

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

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 ambien
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 iClosetropic efficiencies are 82
percent for the compressor and 87 percent for the turbine, and using constan
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.

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Step 1: Determine the given data:

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Step 2: (a) Calculate the effectiveness of the regenerator (ε):

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Step 3: (b) Calculate the rate at which heat is extracted from the cooling area:

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Step 4: (c) Calculate the Coefficient of Performance (COP) of the cycle:

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