09106 hw4 pop2

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7b. Energy and temperature determine the populations (Continued)

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Answer: No. At low temperature, there will be more particles on the lower-energy platform. As we heat the system up, the population of the upper platform increases. At an infinitely high temperature, the population of the higher-energy platform will become equal to that of the lower-energy platform (P2/P1 = 1), but P2/P1 will never be greater than one. This can be seen mathematically as:

Where we have used the fact that


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