Refrigerator- thermodynamics: how do i start?

  • Thread starter WoIfgang
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Homework Statement


Newton’s Law of Cooling.

A building is maintained at temperature TH with a reversible heat pump operating between the building and a colder environment at temperature TC < TH. The heat pump consumes electrical power at a constant rate W. The building also loses heat according to Newton’s law of cooling, that is, at a rate a(TH – TC) where a is constant. Show that the building temperature is maintained at temperature

Homework Equations


TH = TC + dW/dt (1/2a) [1 + sqrt( 1 + 4aTC/(dW/dt) )]

The Attempt at a Solution


Puzzled about how to start
 

Answers and Replies

  • #2
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Hi, solved it using the coefficient of performance.
 

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