An inventor claims to have developed a refrigerator that at steady state requires a net power input of 1.1 horsepower to remove 12,000 btu/h of energy by heat transfer from the freezer compartment at 0°f and discharge energy by heat transfer to a kitchen at 70°f. evaluate this claim.

The inventor's claim is false in the sense that no thermal machine can violate the first thermodynamic law.

Explanation:

The inventor's claim could not be possible as no thermal machine can transfer more heat than the input work consumed. If we expose the thermal efficiency:

Where Q and W both must be in the same power unit, so we will convert the remove heat from BTU/hr to hp:

Therefore by comparing, we notice that the removing heat of 4.75 hp is large than the delivered work of 1.11 hp. By evaluating the efficiency:

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