R134a is used as a working fluid in a cooling system with a cooling capacity of 50 kJ/s operating according to the ideal vapor compression refrigeration cycle. The refrigerant enters the compressor as saturated steam at a pressure of 120 kPa and is compressed to a pressure of 650 kPa. The mass flow of R-134a is 0.10 kg/s. If an isentropic turbine is used instead of the throttle valve in the cooling system, what is the efficiency coefficient of the system?

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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R134a is used as a working fluid in a cooling system with a cooling capacity of 50 kJ/s operating according to the ideal vapor compression refrigeration cycle. The refrigerant enters the compressor as saturated steam at a pressure of 120 kPa and is compressed to a pressure of 650 kPa. The mass flow of R-134a is 0.10 kg/s. If an isentropic turbine is used instead of the throttle valve in the cooling system, what is the efficiency coefficient of the system?

A-3,689
B-3.215
C-4.513
D-3.245
E-4.123

 

(Note: This question is Turkish) orginal question:

İdeal buhar sıkıştırmalı soğutma çevrimine göre çalışan soğutma kapasitesi 50 kJ/s olan bir soğutma sisteminde iş akışkanı olarak R134a kullanılmaktadır. Soğutucu akışkan kompresöre 120 kPa basınçta doymuş buhar olarak girmekte ve 650 kPa basınca sıkıştırılmaktadır. R-134a’nın kütlesi debisi 0.10 kg/s’dir. Eğer soğutma sistemindeki kısılma vanası yerine izantropik bir türbin kullanılırsa sistemin etkinlik katsayısı ne olur?

Expert Solution
Step 1

The cooling capacity of the system is given as,

Mechanical Engineering homework question answer, step 1, image 1

The conditions of the refrigerant at the compressor inlet,

Mechanical Engineering homework question answer, step 1, image 2

On using R-134a table, and calculate enthalpy and temperature at the compressor inlet

Mechanical Engineering homework question answer, step 1, image 3

The temperature of the fluid after compression,

Mechanical Engineering homework question answer, step 1, image 4

The specific heat ratio for R-134a is 1.20.

So,

Mechanical Engineering homework question answer, step 1, image 5

On using R-134a table, the enthalpy at P2=650 kPa,

Mechanical Engineering homework question answer, step 1, image 6

Enthalpy at point of compressor exit,

Mechanical Engineering homework question answer, step 1, image 7

 

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