hurz
- 7
- 0
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)]
Regards,
hurz.
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.