Question #310248

32. An air-conditioning system is used to maintain a house at 65oF when the temperature outside is 85oF. The house is gaining heat through the walls and windows at a rate of 1250 Btu/min, and the heat generation rate within the house from people, lights, and appliances amounts to 350 Btu/min. Determine the minimum power input required for this air-conditioning system. A


1
Expert's answer
2022-03-16T01:26:05-0400

Solution;

TL=65°FT_L=65°F

TH=85°FT_H=85°F

Q=1250+350=1600Btu/minQ=1250+350=1600Btu/min

min

COP=1(THTL)1COP=\frac{1}{(\frac{T_H}{T_L})-1}

COP=1(85+46065+460)1=26.25COP=\frac{1}{(\frac{85+460}{65+460})-1}=26.25

Pin=QCOP=160026.25=60.95Btu/minP_{in}=\frac{Q}{COP}=\frac{1600}{26.25}=60.95Btu/min



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