In a mechanical refrigerator, the temperature coils are at a temperature −230C and the compressed gas in condenser has a temperature of 270C. Theoretical coefficient of performance is:
Temperature of coil, T2=−23oC=250K
Temperature of condenser, T1=27oC=300K
C.O.P = T2T1−T2=250300−250=5
Hence, C.O.P of refrigerator is 5.