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In Chapter 22 we saw that the Debye temperature for a solid is typically several hundred kelvins. There are as many phonon states as there are atoms in the solid. Suppose that, for a certain solid at 100 K, the occupation number for a particular phonon state is 1/2.
(a) Roughly what is the occupation number of this state at 0.1 K?
(b) Repeat the above for a state whose occupation number is 1/2 at 5 K.
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Does the Rankine degree represent a larger or smaller temperature unit than the Kelvin degree? Explain. Specified states, the change in temperature between the end states is independent of details of the process.
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