A refrigerator is used to maintain a freezing space at 1 degree celsius by absor

Question

A refrigerator is used to maintain a freezing space at 1 degree celsius by absorbing heat from the freezing space when the environment temperature is 20 degrees celsius. The freezing space supplies heat at a rate of 1000 kJ/s and condenser removed heat at a rate of 500kJ/s to environment and refrigerator conumes 50kW of electric power when runnning. Is this refrigerator powerful enough to do this job? If no, what is the minimum power consumption for this job?

Refrigerator operating on reversible cycle consumes minimum work (or power).

please show work and steps. Thank you.

Explanation / Answer

No the refrigerator is not powerful enough for the job

Since the condenser removes heat at only half the rate the freezing air supplies heat

The power of frig should be doubled so that condenser removes heat at twice the original rate = 1000 kj/s same as supplied by air

Hence power of frig should be 2* 50kW = 100kw

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