About a mixture of gases and the equilibrium distribution

[luisgml_2000]

Hello:

I've been reading about the Maxwell Boltzmann distribution for a dilute gas. One of the hypotheses to get this result is that there is only a chemical species within the box, but what would happen if you put a mixture of gases, say two or three, each of which is very dilute and you waited enough time for the system to reach the equilibrium?

Since the Boltzmann distribution is a universal function, I think that the equilibrium distribution function for the gas mixture will be very similar to the case of a single gas, but I can't find an argument for it.

Thanks for your attention!

 

[pixel01]

If there are no chemical reactions between gases, you can apply the hypotheses to each species in the mixture separatedly. Anh then you add them up.