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#3 A Carnot engine is operated as an air conditioner to cool a house in the summ

ID: 2270776 • Letter: #

Question

#3 A Carnot engine is operated as an air   conditioner to cool a house in the summer. The air conditioner removes 14 kJ   of heat per second from the house, and maintains the inside temperature   at  while the outside temperature is  369 K. The power required for   the air conditioner under these operating conditions, in SI units, is closest   to (LO7)
  

6600
5100
5800
3600
4400

  

#3 A Carnot engine is operated as an air   conditioner to cool a house in the summer. The air conditioner removes 14 kJ   of heat per second from the house, and maintains the inside temperature   at  while the outside temperature is  369 K. The power required for   the air conditioner under these operating conditions, in SI units, is closest   to (LO7)
  

6600
5100
5800
3600
4400

  

Explanation / Answer

n = 1 - (Tc/Th) = 1 - (Qout/Qin)

Qin= Qout*(Th/Tc) = 17.63 kJ
for carnot cycle:
W= Qin - Qout = 3.6 kJ =3600 J

D is correct