- #1
Dreebs
- 25
- 1
Homework Statement
Having chilled the air until it contains only the perfect amount of moisture, you want to reheat it to the ideal cabaret temperature. You could use an electric space heater or wood fire, but you already have another source of heat: the same system that chilled the air in the first place. Instead of sending its heat outdoors, you can use some of that heat to warm the chilled air back to room temperature. But you have to be careful: if you use all of the heat that's released by the cooling system, the cabaret air will become hotter than the outdoor air! Why?
a. When the entropy produced by the cooling system becomes thermal energy and is added to the cabaret air, it will increase the temperature of the cabaret air above that of the outdoor air.
b. Pumping the heat from cold to hot requires that some ordered energy, such as electricity, become disordered. If you return all the pumped heat plus the newly disordered electrical energy to the room air, its temperature will rise above its starting temperature.
c. Whenever you change the temperature of an object, you create thermal energy. With more thermal energy in the cabaret air than before you cooled it, the temperature of the cabaret air will rise above that of the outdoor air.
d. The heat released by the cooling system is located far from the cabaret. To convey that heat back from its hotter source to the colder cabaret air requires work and this work will become thermal energy in the cabaret air. With the addition of that new thermal energy, the temperature of the cabaret air will rise above that of the outdoor air.
Homework Equations
N/A
The Attempt at a Solution
D, in order to move anything work is required. When doing work on something like air thermal energy is created in the process. So by moving the already warm air + the newly created thermal energy back into the cabaret, the place will become hotter than before.