4. It is claimed that a refrigerator requiring 400 W of power (W) receives heat

Question

4. It is claimed that a refrigerator requiring 400 W of power (W) receives heat from cold storage
(low temperature source, TL) at 200 K and rejects heat at the rate of 600 W (QH) to an
environment at 600 K (high temperature reservoir, TH).
A. Calculate the amount of rate of heat (QL) the refrigerator receives from the cold storage.
B. Calculate the coefficient of performance of this refrigerator.
C. Calculate the ideal (maximum) coefficient of performance of a refrigerator operating between
the given two temperature (200 and 600 K) sources.

D. Is this claim valid or false? Why?

Explanation / Answer

Power= 400W

Qh= 600W

Qc= qh- power= 600- 400= 200W

Coefficient of performance= heat rejected/power received= 600/400= 1.5

Ideal coefficient of performance= TH/TH-TC= 600/600-200= 600/400= 1.5

HENCE THE CLAIM IS VALID

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