Q$3$

The COP and the refrigeration rate of a refrigerator are given. The power consumption of the refrigerator is to be determined.

Assumptions The refrigerator operates steadily.

Analysis Since the refrigerator runs one$-$fourth of the time and removes heat from the food compartment at an average rate of $800k\frac{J}{h},$ the refrigerator removes heat at a rate of

$Q_L^{}=4(800k\frac{J}{h})=$

when running. Thus the power the refrigerator draws when it is running is

$W_{\text{n}\text{e}\text{t}\text{,}in}^{}=\frac{Q_L^{}}{CO{P}_R}=,=,kW$