GATE Mechanical Engineering (ME) 2018 Shift 2 Solved Paper

Question : 53 of 65

Marks: +1, -0

A standard vapor compression refrigeration cycle operating with a condensing temperature of 35oC and an evaporating temperature of -10oC develops 15 kW of cooling. The p-h diagram shows the enthalpies at various states. If the isentropic efficiency of the compressor is 0.75, the magnitude of compressor power (in kW) is __________ (correct to two decimal places).

Your Answer:

Validate

Solution:

\COP=\;{h_{1}-h_{4}}/{h_{2}-h_{1}}

\COP=\;{400-250}/{475-400}=\;{150}/{75}=2

Ideal Work input

=\;{\;\text " Refrigeration Capacity "\;}/{\;\text " COP "\;}=\;{15}/{2}=7.5

Actual Work input

=\;{\;\text " Ideal Work input "\;}/{\;\text " Efficiency "\;}=\;{7.5}/{0.75}=10

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