# Maxwell's distribution function for mixture of ideal gases

I came across a question demanding relations between the individual distribution functions $$f_n$$ for the $$n$$th gas, and the overall $$f$$ for the entire mixture.

I believe there is no simple way to express this, and that the mixture will behave as one entity, with a nearly time-independent function inexpressible in terms of the original individual functions and that the individual data of each gas, (however herculeanly obtained) will be time-dependent. Please correct me if I am wrong, any useful reading material is welcomed.

To be absolutely clear, my question is: Do the individual components obey Maxwell's function separately and/or do they obey the function as a mixture with it's own properties such as average molecular mass etc?