A house temperature is kept at 298 K. Ambient temperature is 279 K. Power of the motor is 1 W. There is a heat flow of 60 kW from the system. Is the power of the motor used enough? If it is not enough, how much should it be?
For this we will first calculate the Carnot efficiency
Now
Qh = 60 Kw = 60000 W
W = 1W
Since the actually efficieny is less than the carnot efficiency is less than the carnot efficiency we can definitely improve it and The power of the motor is definitely not used enough
Considering an ideal scenario where we have an engine very close to carnot heat engine
Power = 0.063758*60 = 3.82548 KW
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