Acarnot air conditioner takes energy from the thermal energy of a room at 63°f and transfers it as heat to the outdoors, which is at 100°f. for each joule of electric energy required to operate the air conditioner, how many joules are removed from the room?

For the Carnot air conditioner working as a heat pump between 63 and 100°F , It would transfer 3.125 Joules of heat for each Joule of electric energy supplied.

Explanation:

The process described corresponds to a Carnot Heat Pump. A heat pump is a devices that moves heat from a low temperature source to a relative high temperature destination. To accomplish this it requires to supply external work.

For any heat pump, the coefficient of performance is a relationship between the heat that is moving to the work that is required to spend doing it.

For a Carnot Heat pump, its coefficient of performance is defined as:

Where:

Then, for this Carnot heat pump:

So for each 3.125 Joules of heat to moved is is required to supply 1 Joule of work.

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