+2 votes
in Mathematics by kratos

A household freezer operates in a room at 20°C. Heat must be transferred from the cold space at a rate of 2 kW to maintain its temperature at −30°C. What is the theoretically smallest (power) motor required to operate this freezer?

1 Answer

+4 votes
by kratos
 
Best answer

Assume a Carnot cycle between TL = -30°C and TH = 20°C:

This is the theoretical minimum power input. Any actual machine requires a larger input.

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