An air conditioner operating at steady state maintains a dwelling at 70oF on a day when the outside temperature is 90oF. If the rate of heat transfer into the dwelling through the walls and roof is 30,000 Btu/h, might a net power input to the air conditioner compressor of 3 hp be sufficient? If yes, determine the coefficient of performance. If no, determine the minimum theoretical power input, in hp.

The power input of 3hP might be sufficient and the coefficient of performance will be "3.93".

According to the question,

In order to maintain the dwelling at 70°F with,

The COP,

→

or,

→

or,

→

→  

→   (minimum required power)

hence,

The corresponding COP will be:

→

Thus the response above is correct.

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