A central heat pump operating as an air conditioner draws34000 Btu per hour from

Question

A central heat pump operating as an air conditioner draws34000 Btu per hour from a building andoperates between the temperatures of 24°C and 38°C. (a) If its coefficient of performance is24% that of aCarnot air conditioner, what is the effective coefficient ofperformance?
1

(b) What is the power required of the compressor motor?
2 W

(c) What is the power in terms of hp?
3 hp (a) If its coefficient of performance is24% that of aCarnot air conditioner, what is the effective coefficient ofperformance?
1

(b) What is the power required of the compressor motor?
2 W

(c) What is the power in terms of hp?
3 hp

Explanation / Answer

Tc=24oC=24+273=297K Th=38+273=311K efficiency of carnots air conditioner ec=1-Tc/Th=0.045 COP=1/ec=22.22 a\ the effective coefficient of performance=24%*22.22=5.3328 b power=34000*1.055*10^3/3600=9.916*10^3W c power =9.916*10^3*1.3404*10^-4=13.29hp (746W=1.3404*10^-4hp)

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