Part C Constants How much work is required of the pump to deliver 3300 J of heat

Question

Part C Constants How much work is required of the pump to deliver 3300 J of heat into the house if the outdoor temperature is 0° C. Assume an ideal (Carnot) coefficient of performance COP- TH/TH TL) Express your answer to two significant figures and include the appropriate units. A heat pump is used to keep a house warm at 22 C Value Units Submit Part D How much work is required of the pump to deliver 3300 J of heat into the house if the outdoor temperature is 15° C. Assume an ideal (Camot) coefficient of performance COP TH/TH T). Express your answer to two significant figures and include the appropriate units. Units

Explanation / Answer

Given,

Q= 3300 J ; COP= TH/(TH-TL) = Q/W

C) TH = 273.15 + 22 = 295.15 K ; TL= 273.15 + 0= 273.15 ; TH-TL  = 22 K

COP = 295.15/22 = 13.4

Q/W= 13.4

W= 3300/13.4 = 246.27 J   (Ans)

D) Q = 3300 J ;   COP = TH/(TH-TL) = Q/W

   TH = 273.15 + 22 = 295.15 K ; TL= 273.15 - 15 = 258.15 ; TH-TL = 37 K

COP = 295.15/37 = 8.0

W = 3300/8 = 412.50 J (Ans)

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