Can internal energy levels of atoms affect chemical potential of ideal gas?

[alemsalem]

μ/T represents the change in entropy if we change the number of particles,, so according to the fundamental assumption of statistical mechanics μ/T should tell us about the tendency of two systems to exchange particles...
but I am having a hard time imagining how rotational or vibrational degrees of freedom (even if they increase entropy) can result in an exchange of particles.. the problem being that (unlike translational degrees of freedom) they don't have a tendency to push particles between systems.

Am I missing something?

Thanks for answering!

 

[LightHero]

The answer to your question is yes, you are missing something. Entropy is a measure of the amount of disorder or randomness in a system, and while rotational and vibrational degrees of freedom do not directly involve particle exchange, they do increase the randomness of the system and therefore its entropy. For example, when two systems come into contact, the particles in each system may interact and exchange energy, resulting in increased motion and vibrational energy, which contributes to an increase in entropy. Similarly, when molecules rotate, they also increase the entropy of the system. Thus, even though rotational and vibrational degrees of freedom do not directly involve particle exchange, they can still contribute to the entropy of the system.