GATE ME 2022 Set 2 — Question 45
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Thermodynamics → Refrigeration & Air Conditioning → Coefficient of Performance
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Question
In a vapour compression refrigeration cycle, the refrigerant enters the compressor in saturated vapour state at evaporator pressure, with specific enthalpy equal to . The exit of the compressor is superheated at condenser pressure with specific enthalpy equal to . At the condenser exit, the refrigerant is throttled to the evaporator pressure. The coefficient of performance (COP) of the cycle is . If the specific enthalpy of the saturated liquid at evaporator pressure is , then the dryness fraction of the refrigerant at entry to evaporator is _________.
Correct answer
(B) 0.25
Solution
Given (compressor inlet), (compressor exit), and . Since throttling is isenthalpic, is the enthalpy at the evaporator entry. Using the dryness fraction at evaporator pressure:With and (saturated vapour at evaporator pressure):.
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