The interior of a building is maintained at 23oC by a heat pump cycle operating

Question

The interior of a building is maintained at 23oC by a heat pump cycle operating at steady state while receiving thermal energy from well water at 12oC. The thermal energy discharged to the building is at a rate of 116,250 kJ/h. Over a period of 21 days, a meter reads electricity consumption of 2080 kW.h to run the heat pump.

Determine: (a) the amount of thermal energy that the heat pump receives over the 21-day period from the well water , in kJ.

(b) the heat pump's coefficient of performance.

(c) the coefficient of performance of a reversible heat pump cycle operating between hot and cold reservoirs at 23oC and 12oC.

Explanation / Answer

Rate of work = W = 2080kW.h / (21 days * 24 hours)

= 4.13 kW = 4.13 kJ/s

Convert kJ/s into kJ/h
4.127*60*60

W = 14857 kJ/h

Qh = W + Qc

Qc = 116250

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