How do I go from the entropy of a system, S(U,V,N), to its internal energy, U(S,V,N)?(adsbygoogle = window.adsbygoogle || []).push({});

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)]

Regards,

hurz.

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# Entropy And Energy Representation

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