This fight has been fought before, you are talking 10PSI per tire @25psi max volume. you are only using 8.6 gal of air @ 35psi. use the same tank to fill the same tire after a bead rolls off the rim. you will need roughly 18gal of air at 120PSI and that does not account for setting the bead.
So if you are going to air down and want to carry a 10 gal air tank (more than twice the size of a 10lbs CO2 tank, and you know for sure you will only need to add 10lbs per tire; you could use an air tank. BUT AGAIN, its not ideal for actual wheeling gear..
This was not a fight BTW you just think your way is better and mathematically and scientifically it is not, I was only trying to help.
PLEASE Read from another post on the CK5 forums. it should clear up the how inferior Air is to CO2, not to mention how much more safe and dry CO2 is.
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Lets find the area inside that tire:
I am assuming we'll subtract 1" from each side for the rubber material so we have a inner diameter of 31" and a width of 10.5". Area of a circle is pi x radius squared so
15.50^2 x 3.14 = 725.47 - > Volume of a cylinder = area of the circle x length so -> 725.47 x 10.5 = 7617.39
Now lets subtract the volume of the rim. Hard to get it exact so lets assume a diameter of 14" because it does not fill the 15". Using same formulas ->
Area = 7^2 x3.14 = 153.86 Volume -> 153.86 x 10.5 = 1615.53
Okay now we want volume of tire - volume of rim =-> 7617.39 - 1615.53 = 6001.86ci lets call it 6000ci
Now, gallons of air depends on pressure but lets go with somewhat standar -> 35psi.
The formula for the volume of a compressed gas is
pa Va = pc Vc (1)
where
pa = atmospheric (
STP - Standard Temperature and Pressure & NTP - Normal Temperature and Pressure) pressure (14.7 psi, 101.325 kPa)
Va = volume of the gas at atmospheric (
STP - Standard Temperature and Pressure & NTP - Normal Temperature and Pressure) pressure (cubic feet, cubic meter)
pc = compressed pressure (psi, kPa)
Vc = volume of the gas at compressed pressure (cubic feet, cubic meter)
Cubic inches to cubic feet = 1ci = 0.0005787cf
Cubic feet to gallons = 1cf = 7.48gal
Now 6000ci = 3.47cf
so formula above using 35psi
Va = pc Vc / pa
Va = 35 x 3.47 / 14.7 = 8.26cf
Converting to gallons 8.26 x 7.48 = 61.8gallons of air.
SO 61.8gal of compressed air.
Now, if you are asking because you want an air tank for desert side inflation or something, you tires hold roughly the size of your tire at same PSI so something like 3.47cf x 7.48gal/cf = 25.955 = 26gal
So air tank ar 35psi must be 26gal to fill the tire to 35psi. Air tank at say 175psi will be much smaller. I think you could just factor it down 35/175 x 26 = 5.2gal but I haven't worked through it yet. To fill 4 tire would require like a 20 gallon tank. Much easier to bring a small CO2 cylinder along that hod 2800psi because it will fill all your tires no problem.