Aheating system must maintain the interior of a building at 20°c during a period when the outside air temperature is 5°c and the heat transfer from the building through its roof and walls is 3 × 106 kj. for this duty heat pumps are under consideration that would operate between the dwelling and
a. the ground at 15°c.
b. a pond at 10°c.
c. the outside air at 5°c.

a. W = 51,194.54 kJ

b. W = 102,390 kJ

c. W = 153,585 kJ

Explanation:

a. the ground at 15°C.

=20°C = 273 K + 20 = 293 K

=15°C = 273 K + 15 = 288 K

W = 51,194.54 kJ

b. a pond at 10°C.

=10°C = 273 K + 10 = 283 K

W = 102,390 kJ

c. the outside air at 5°C.

=5°C = 273 K + 5 = 278 K

W = 153,585 kJ

Hope this helps!

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