The general rule is PV = nRT > P = nRT/VThe general rule is ... for every 10 degrees in air temperature change will result in one pound of pressure change. If the temp goes up, tire pressure will increase, and vice versa.
For a given tire with a given molar quantity of air and ignoring small volume changes n, R, and V are constant
therefore P/T = nR/V and is constant, so if the temperature goes up (or down) by 10%, then the pressure likewise changes 10%
The kicker is that the ratio is given in absolute temperatures and pressures and we are used to relative measures.
For example, a tire with a starting temperature of 80 degrees F = 540 degrees Rankine
If it had a starting pressure of 32 psi it would be ~46.7 psi absolute.
A 10% increase in pressure would be 4.67 psi
A corresponding 10% change in temperature would be 54 degrees
This would equate to 11.5 degrees for a 1 psi change.
Round numbers > 10 degrees per psi