Ever wonder if you can build a machine to heat up your house using the heat from the outside environment? Well you'll need to start with the heat pump concept.
In this example, you'll learn how to determine the maximum theoretical coefficient of performance for a heat pump operating at steady state between a dwelling at 70 deg F and a pond at 40 deg F?
Also, for the dwelling, if heat transfer through the walls and roof is 6.5x10^5 Btu per day, how would you determine the minimum theoretical power, in hp, to drive a heat pump operating at steady state between the dwelling at 70 deg F and a pond at 40 deg F?
The maximum theoretical coefficient of performance (COP) is the Carnot COP:
COPHP,Carnot = 1/(1-TL/TH)
Reference: Thermodynamics - An ...
This solution is comprised of a detailed explanation of heat pump problem. The attached file provides step-by-step solution and diagram where necessary.