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I have determined the entropy previously which gives the following results

S = k*(N Log N - n Log n -(N-n)*Log(N-n)

I have furthermore deduced the relation between state n and the energy as

[tex]n = \frac{E+N*\epsilon}{2*\epsilon}[/tex]

I know that the temperature is

[tex]\frac{\partial S}{\partial E}=\frac{1}{T}[/tex]

I am not quite sure how to proceed - I could replace small n with an expression containing the energy but what about capital N - should I isolate that from the relation and insert that into the entropy expression and then differentiate with respect to the energy - any hints or commands appreciated thanks in advance.

Best

J

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# Homework Help: Finding temperature from entropy

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