High School

We appreciate your visit to A Carnot air conditioner takes energy from the thermal energy of a room at 63 F and transfers it as heat to the outdoors which. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A Carnot 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?

Answer :

Answer:

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:

[tex]COP_{HP}=\frac{T_H}{T_H-T_L}[/tex] Where:

  • T is the temperature of each heat deposit.
  • The subscript H refers to the high temperature sink(in this case the outdoors at 100°F)
  • The subscript L refers to the low temperature source (the room at 63°F)

Then, for this Carnot heat pump:

[tex]COP_{HP}=\frac{T_H}{T_H-T_L}=\frac{100°F}{100°F-63°F}=3.125[/tex]

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

Thanks for taking the time to read A Carnot air conditioner takes energy from the thermal energy of a room at 63 F and transfers it as heat to the outdoors which. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada