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deal gas law does not apply. Atmospheric air is nowhere close to an ideal gas. Need to account for humidity and condensation due to temp change. Also ball is elastic so volume is not constant. Sighting ideal gas law is overly simplistic.
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Yes, I agree that ideal gas law is over simplistic. However, it is accurate over a fairly wide range of typical conditions. Note that humidity counts as a gas (water vapor is part of the partial pressures). Note also that contraction of the football due to lower pressure would REDUCE the available volume, actually RAISING
the pressure ABOVE what the ideal gas law would predict! Ideal gas law would tend to UNDERPREDICT the pressure!
The point of it is that the actual pressure difference is more than THREE TIMES greater than the ideal gas law would predict. I am familiar with corrections to the ideal gas law, and no way is it that wrong.