Dont know how you determined that, but Nitrogen expands and schrinks exactly the same as any other gas. Only the lack of water in nitrogen tanks can make a difference, and then even marginal in cold pressure.
Once downloaded a water spreadsheet wich gave max partial pressure of watergas for temperature, and added psi and degrF colom to it.
Then at 65 degrF max 0.3psi water as gas, and at 140degrF max 2.9psi water as gas , so then if gascompound without water in tire , topicstarters 82 psi would rise to 95 psi with dry air, and 2.6 psi more if enaugh liqiud water in tire to go over to gas. Yudge for yourselves if that is worth filling with nitrogen.
But same effect can be reached by filling with dry air.
If you fill with Compressor with tank , then first give the tank an as high possible pressure, so water condenses an tap of the water, then the air in the tank( or is it vessel) is dry enaugh.
Even if you dont drain the vessel, the liquid water at the bottom wont get into the tube .
But again , not worth the trouble for that 2.6 psi difference. Gives lesser deflection so heatproduction, so rubber stays a bit colder, so water in tire even better then dry gascompound.
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