|Dec13-12, 03:22 PM||#1|
Entropy And Energy Representation
How do I go from the entropy of a system, S(U,V,N), to its internal energy, U(S,V,N)?
For instance, for an ideal classical gas, we have
S=(3/2)N*R*ln(U/N) + N*R(V/N) + N*R*c
where R is the Boltzmann constant, N is the particle number, V is the volume and "c" is a constant.
How can I convert this to U(S,V,N) ?
The unswer is U=N*(U/N)^(2/3)*exp[(2/3)*(S/(N*R)-c)]
|Dec13-12, 04:13 PM||#2|
This is just algebra. Isolate ln(U/N), use e^() on both sides and multiply with N.
|Dec13-12, 06:09 PM||#3|
my bad. thanks!
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