Why the statistics for a real gas are not quantum in nature?

[MichPod]

TL;DR Summary

If the gas molecules are either bosons or fermions, why the gas statistics is classical?

A gas of bosons or fermion particles follows a particular quantum statistics. Then why a molecular gas (say, H2) follows a classical distribution statistics? Is it not the case that the molecules should be indistinguishable one from another and be either bosons or fermions? What is exactly the condition which allows a classical statistics?

 

[PeterDonis]

why a molecular gas (say, H2) follows a classical distribution statistics?

What makes you think it does?

 

[MichPod]

What makes you think it does?

Lack of education, I guess. :-)
Case resolved, thank you for the hint.

 

[DrClaude]

At room temperature, diatomic gases behave classically. Any textbook on statistical physics should discuss the classical limit.

See also
http://farside.ph.utexas.edu/teaching/sm1/lectures/node82.html

 

[vanhees71]

True, and quantum mechanics tells you, which degrees of freedom are relevant at a given temperature. E.g., at room temperature the vibrational modes of a diatomic gas are irrelevant and only the translational and rotational ones play a role.

 

[PeterDonis]

At room temperature, diatomic gases behave classically.

So do monatomic gases like He.