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Zamze
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Homework Statement
8. A house is cooled by an air conditioner. The outside temperature is 32°C and the inside temperature is 21°C. The heat leakage into the house is 9000 kcal/hr. If the air conditioner has the efficiency of a Carnot engine, what is the mechanical power required to keep the inside temperature constant? Answer given to this problem is [36kW]
Homework Equations
efficiency= 1 - Temperature cold/ Temperature hot for carnot engine in Kelvins.
Also efficiency=Temperature cold/ work done.
I believe this should be enough.
The Attempt at a Solution
Using the first given equation.
Efficiency=1-(21+273)/(32+273)=0.03607
Using the second equation W=9000kcal/hr/0.03607
Converting properly 9000kcal/hr=9000*4.184*60^2 gives us the work
Thus W=9000*4.184/(0.03607*60^2)=290KW
Can anyone explain to me why I am not getting 36KW?
Thank you!