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Question

In a simple vapour compression refrigeration plant, in which compressor inlet is dry saturated, the enthalpy at the inlet of bot compressor and evaporator are 1426kJ/kg and 347.5kJ/kg. Mass flow rate, relative efficiency and maximum COP are 0.02 kg/s, 60% and 5 respectively. What is the work input to the compressor?

A
7.2kW
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B
8.2kW
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C
4.3kW
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D
10kW
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Solution

The correct option is A 7.2kW
Refrigeration capacity, RC=˙m(h1h2)

RC=0.02(1426347.5)

RC=21.57kW

ηrelative=Actual COPMaximum COP=(COP)actual5

(COP)actual=5×0.6

COP)actual=3

(COP)actual=(RC)W

W=21.573

W=7.197.2kW

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