Question 1 of 3 · Power, Refrigeration and Integrated Cycles · Foundation · About 17 min
Theoretical minimum power for a room heat pump
A heating device supplies to a space maintained at while extracting heat from an outdoor reservoir at . Determine the maximum reversible heating coefficient of performance, the minimum theoretical work input and the corresponding heat extracted from outside.
Given
Heating duty 9.50 kW
Warm reservoir 305 K
Cold reservoir 265 K
Find
Maximum heating COP
Minimum input power
Heat collected outdoors
Assumptions
Reversible heat pump between isothermal reservoirs, no other interactions.
Worked solution
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