A heat pump heats a house in the winter and then reverses to
cool it in the summer. The interior
temperature should be 20°C in the winter and 25°C in the summer. Heat transfer th
rough the
walls and ceilings is
estimated to be 2400 kJ per hour per degree temperature difference
between the inside and outside. (a) If t
he winter outside temperature is 0°C, what is the
minimum power required to drive the heat pump? (b) For the same power as in part (a), what
is the maximum outside summer temperature for which the house can be maintained at 25°C?
Show the schematic diagram
s of the systems.
Inside temperature
in winter
in summer
Heat transfer through the walls ans ceilings Q = 2400 kJ
(a) In winter
For ideal hezt pump
The minimum power required to drive the heat pump is 0.910 \;kW
(b) in summer
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