100% Nitrogen is used in aircraft tyres for several reasons :
No moisture: (1) moisture freezes at altitude at the lowest point of the wheel, and would cause massive out-of-balance if solid on touchdown.... if liquid it resists the start of rotation .. (2) It also causes corrosion.
Molecule size : Nitrogen molecules are large in comparison to oxygen and water molecules and so "seep" less thus maintaining a more stable pressure
Temperature change : the different compositions of normal air react to temperature change in different ways, thus a variable "mix" will give a variable response ... 100% nitrogen will be far more stable
An aircraft tyre is subject to tremendous temperature change ... at the end of the take off roll it is extremely hot having had to support the whole weight of the aircraft throughout its acceleration. At cruise it is extremely cold ... around -44 C .. at the end of the landing roll it is once again very hot, both from the weight and the action of the brakes. It also has to withstand almost instant acceleration from stationary to the rotations of 180mph (ish) on touchdown .....so stability is extremely important.
IMHO very few of those facts cross over to "normal" cars, although they may affect F1 cars somewhat more !!
So, again IMHO, a waste of time ... especially if, like me, your tyre pressures change frequently due to load ..
Good one Entwood..
only one point I must correct, at a fix temperature ,volume and pressure , a fix number of moles of gases can exist (n) which has the fix coefficient r or R in the equation.. either a mixture or pure state.. there are some kinds of intermolecular forces that effect the gases taking space.. so mixtures volumetric behaviour with temperature wont be different than a pure one..
and must add, a tire inside can be accepted as a closed system (unless there is some hole) , but not heat isolated..