An ideal heat pump is used to maintain the inside
Chapter 15, Problem 77(choose chapter or problem)
An ideal heat pump is used to maintain the inside temperature of a house at \(T_\mathrm {in}=22^\circ \mathrm C\) when the outside temperature is \(T_\mathrm {out}\). Assume that when it is operating, the heat pump does work at a rate of 1500 W. Also assume that the house loses heat via conduction through its walls and other surfaces at a rate given by \((650~\mathrm {W/C^\circ})(T_\mathrm {in}-T_\mathrm {out})\).
\((a)\) For what outside temperature would the heat pump have to operate all the time in order to maintain the house at an inside temperature of \(\mathrm {22^\circ C}\)?
\((b)\) If the outside temperature is \(\mathrm {8^\circ C}\), what percentage of the time does the heat pump have to operate in order to maintain the house at an inside temperature of \(\mathrm {22^\circ C}\)?
Equation Transcription:
Text Transcription:
T_in=22^oC
T_out
(650 W/C^o)(T_in-T_out)
22^oC
8^oC
22^oC
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