The energy required to heat a 50m^2 living area in Canberra is of 18738 MJ per year. Assume the external air temperature in Canberra is 6℃, while the desired internal air temperature is 19℃. The living area can be heated by electric element heater (assume it convert 100% of electricity into heat), by heat pump operating between the external and internal air temperatures with coefficient of performance 3.0 and by a reversible heat pump operating between the same temperatures.

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Chapter8: Natural Convection
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Problem 8.46P
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The energy required to heat a 50m^2 living area in Canberra is of 18738 MJ per year.
Assume the external air temperature in Canberra is 6℃, while the desired internal air
temperature is 19℃.
The living area can be heated by electric element heater (assume it convert 100% of
electricity into heat), by heat pump operating between the external and internal air
temperatures with coefficient of performance 3.0 and by a reversible heat pump operating
between the same temperatures.


Consider for the electricity the cost of 22 cents per kWh.
Question:
(a) Determine the annual cost of heating the living area with the three systems above.
(b) Determine for the two heat pumps the amount of energy per year received from the
external air.

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