A heating system must maintain the interior of a building at 16°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 x 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. For each case, evaluate the minimum theoretical net work input required by any such heat pump, in kJ. Part A For case (a), evaluate the minimum theoretical net work input required by any such heat pump, in kJ. (Wcycle) min kJ

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Chapter8: Natural Convection
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A heating system must maintain the interior of a building at 16°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 3x 10 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.
For each case, evaluate the minimum theoretical net work input required by any such heat pump, in kJ.
Part A
For case (a), evaluate the minimum theoretical net work input required by any such heat pump, in kJ.
(Wcycle) min
kJ
Transcribed Image Text:A heating system must maintain the interior of a building at 16°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 3x 10 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. For each case, evaluate the minimum theoretical net work input required by any such heat pump, in kJ. Part A For case (a), evaluate the minimum theoretical net work input required by any such heat pump, in kJ. (Wcycle) min kJ
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