GATE ME 2016 Set 2 — Question 56
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Thermodynamics → Refrigeration & Air Conditioning → Vapour Compression Cycle
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Question
A refrigerator uses R-134a as its refrigerant and operates on an ideal vapour-compression refrigeration cycle between MPa and MPa. If the mass flow rate of the refrigerant is kg/s, the rate of heat rejection to the environment is _________ kW.Given data:
At MPa, kJ/kg, kJ/kg-K
At MPa, kJ/kg (superheated vapour)
At MPa, kJ/kg (saturated liquid)
At MPa, kJ/kg, kJ/kg-K
At MPa, kJ/kg (superheated vapour)
At MPa, kJ/kg (saturated liquid)
Correct answer
8.9 to 8.95
Solution
In an ideal vapour-compression refrigeration cycle, the processes are as follows:
1.State 1 (Compressor Inlet): Saturated vapour at MPa. From the given data, kJ/kg and kJ/kg-K.
2.State 2 (Compressor Exit / Condenser Inlet): Superheated vapour at MPa. For an ideal cycle, the compression is isentropic (). The provided enthalpy for superheated vapour at MPa is kJ/kg.
3.State 3 (Condenser Exit): Saturated liquid at MPa. From the given data, kJ/kg.
The rate of heat rejection in the condenser () is calculated as:Given the mass flow rate kg/s:Rounding to two decimal places, the rate of heat rejection is kW.Continue learning with Success Tracker
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