- #1
jorgen
- 14
- 0
Hi all,
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
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