- #1
iScience
- 466
- 5
in class we learned the definition of temperature to be [itex]\frac{1}{T}[/itex]=[itex]\frac{∂S}{∂U}[/itex]
i don't understand why it's U as opposed to Q. afterall, Q is the only form of energy that contributes to temperature isn't it? If i take a bathtub of water and i swirl my arm in it, i just gave it some work, and the temperature will have gone up, but that temperature increase is due to the work being converted to Q right? So why is it the entropy per unit U as opposed to the entropy per unit heat (this would be a phonon right?)
i don't understand why it's U as opposed to Q. afterall, Q is the only form of energy that contributes to temperature isn't it? If i take a bathtub of water and i swirl my arm in it, i just gave it some work, and the temperature will have gone up, but that temperature increase is due to the work being converted to Q right? So why is it the entropy per unit U as opposed to the entropy per unit heat (this would be a phonon right?)