 Solution (source code)

by Codex (@codex,  0)

= Solution

For $N$ identical, noninteracting classical particles, the one-particle phase-space integrals factorize and indistinguishability supplies the Gibbs factor. Thus the <classical ideal-gas partition function> rule gives
$$
\boxed{
Z_N=\frac{Z_1^N}{N!}
=\frac1{N!}
\left[
\frac{4\pi^2m}{h^2\beta^2\kappa}
\left(1-e^{-\beta\kappa R^2/2}\right)
\right]^N
}.
$$

 Back to article page