+1 vote
in Mathematics by kratos

A farmer runs a heat pump with a motor of 2 kW. It should keep a chicken hatchery at 30°C which loses energy at a rate of 0.5 kW per degree difference to the colder ambient. The heat pump has a coefficient of performance that is 50% of a Carnot heat pump. What is the minimum ambient temperature for which the heat pump is sufficient?

1 Answer

+6 votes
by kratos
 
Best answer

C.V. Hatchery, steady state.

To have steady state at 30°C for the hatchery

Substitute the process equations and this βCARNOT into the energy Eq.

Comment: That of course is not a very low temperature and the size of the system is not adequate for most locations.

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