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Determine for the ideal cycle:$ \ \ \ \ $ i. C.O.P. $ \ \ $ ii. Mass of air circulated per min $ \ \ $ iii. Theoretical piston displacement of compressor and expander $ \ \ $ iv. Net power per TR

A dense air refrigeration machine operates on reversed Brayton cycle and is required for 10 TR capacity. The cooler pressure is 4.2 bar and the refrigerator pressure is 1.4 bar. The air is cooled in the cooler to a temperature of 50°C and the temperature of air at inlet to compressor is -20°C. Determine for the ideal cycle:

$\text{i) C.O.P.}$

$\text{ii) Mass of air circulated per min}$

$\text{iii) Theoretical piston displacement of compressor and expander}$

$\text{iv) Net power per TR}$

Show the cycle on P-V and T-S diagrams. C for air, take $\gamma$=1.4, Cp=1 kJ/kgK.


Mumbai University > Mechanical Engineering > Sem8 > Refrigeration and Air Conditioning

Marks: 12M

Year: Dec 2013

1 Answer
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Given: Q=10 TR; p2 = p3 = 4.2 bar;p1=p4=1.4 bar;T3=50℃=323K

T1= -20℃ = 253K

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Process 1-2 = Isentropic compression in compressor

Process 2-3 = Constant pressure heat rejection in heat exchanger

Process 3-4 = Isentropic expansion in expander

Process 4-1 = Constant pressure heat absorption in refrigerator

i. C.O.P.

Assume …

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