Minimum power that must be provided to the air-conditioner

[jdog6]

On a hot day, a Florida home is kept cool by an air conditioner. The outside temperature is 42.8C and the interior of the home is 21C.

If 25 kJ/h of heat is removed from the house , what is the minimum power that must be provided to the air-conditioner? Answer in units of kJ/h.


I'm preety stumped would the answer just be 25 kJ/h to compensate for the heat removed ?

Please help.
Thank you

 

[Andrew Mason]

On a hot day, a Florida home is kept cool by an air conditioner. The outside temperature is 42.8C and the interior of the home is 21C.
If 25 kJ/h of heat is removed from the house , what is the minimum power that must be provided to the air-conditioner? Answer in units of kJ/h.
I'm preety stumped would the answer just be 25 kJ/h to compensate for the heat removed ?
Please help.
Thank you

You need to find the COP = Q_c/W to find W. The minimum power would be with the most efficient air conditioner. What is the COP of such a cycle?

AM

 

[quicknote]

for your question. I can provide you with a more thorough explanation of the minimum power required for the air-conditioner.

Firstly, we need to understand that air-conditioners work by removing heat from the air in the house and transferring it outside. In this scenario, the air-conditioner is removing 25 kJ/h of heat from the house.

To maintain a constant temperature of 21C inside the house, the air-conditioner needs to remove 25 kJ/h of heat at all times. This means that the minimum power required for the air-conditioner is 25 kJ/h.

In other words, the air-conditioner needs to have a minimum power output of 25 kJ/h to keep the house cool and maintain a temperature of 21C.

I hope this explanation helps you understand the concept better. If you have any further questions, please let me know.