I'm having trouble understanding how two different ideal gasses occupying the same space affect/interact with eachother. Presumably, the answer to this question is as in the title: Ideal gasses do not interact with eachother at all.
However, this seems incredibly odd to me. I'll try to illustrate my confusion through an example.
Imagine a container divided into two compartments by a membrane passable by particles of ideal gas type A but impassable by particles of ideal gas type B.
Now suppose the container is filled with gas A. Clearly the gas does not mind the membrane and will distribute uniformly across the entire container. Now suppose we inject gas B into the left compartment, where it shall remain. Will the distribution of gas A across the container remain uniform?
On the one hand, if the gasses do not interact at all then gas A "doesn't know" about the injection and will remain evenly distributed. On the other hand, the total pressure in the left compartment will obviously be higher than that in the right one. Does that truly not affect the distribution of gas particles at all in this scenario?
Another confusing thing about this scenario is that we can inject gas B which is at a higher temperature than that of gas A already in the container. Clearly the two gasses will reach thermal equilibrium and the temperature across both gasses in the entire container will eventuallly be uniform, but how is that possible without interaction between the gas particles?