In actual air-conditioning applications for R-12 and R-22 refrigerant and operating at a condenser temperature of 40°C and an evaporator temperature of 5°C, the heat rejection factor is about:  

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SSC JE Mechanical 9 Oct 2023 Shift 2 Official Paper-I
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  1. 1.125
  2. 2.15
  3. 1
  4. 5.12

Answer (Detailed Solution Below)

Option 1 : 1.125
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Detailed Solution

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Explanation:

Vapour Compression Refrigeration Cycle:

Process 1-2: Isentropic Work Done by Compressor

Process 2-3: Constant Pressure Heat Removal by Condenser

Process 3-4: Isentropic Expansion by Throttling Valve

Process 4-1: Constant Pressure Heat Addition by Evaporator

From the Heat Balance Equation:

Energy transferred from Condenser = Energy Transferred to Evaporator + Work Input to the compressor 

Heat rejection ratio is given by:

Or

Where,

QCOND is heat rejected in the condenser,

RE  is the Refrigeration effect and Winput  is the work input to the Refrigeration System

Calculation:

Given:
TC = 40°C  and TE = 5°C 
Heat rejection factor = 



 = 1.125

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