So the higher the temperature there more states the

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Unformatted text preview: iew of the Boltzmann formula? Again, tings are easier to understand if we think quantum mechanically. We have mentioned before that temperature is related to the average energy of molecules. If I have a gas at high temperature, this means that there is a lot of energy that’s available to be distributed among its molecules in many different ways (each corresponding to a different microscopic state). On the other hand, at low T the system must have low energy and there are only a handful of microscopic states, for which this can be achieved. So the higher the temperature, there more states the system can have, Ω is larger and the entropy higher, according to Bolzmann’s expression. Using these arguments, you can also convince yourself that it’s not unreasonable that two objects will be in equilibrium whe...
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This note was uploaded on 02/13/2014 for the course CH 353M taught by Professor Lim during the Spring '08 term at University of Texas.

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