Get Real! wrote:cyprusgrump wrote:Get Real! wrote:To cut a long story short, by the time a car drives up a mountain whatever is in that bottle will attain whatever temperature is in its surroundings so I don’t expect anything to happen to it. It’s a very sudden change in temperature that could cause a bloating or the opposite.
No, it doesn't matter how fast or slow the change of temperature is (assuming the bottle is 100% sealed).
Likewise, it doesn't matter how quickly you drive up the mountain (or fly up it) the effect of the decrease in pressure would be the same...
Air pressure must be directly proportional to air temperature… if it works for liquids and gasses then I see no reason why it shouldn’t apply for air.
But anyway, one can easily simulate this by placing a sealed empty water bottle in the freezer to see what happens. This of course would be a very sudden change and should have the best chances at some kind of effect.
This is only true if you keep the volume constant...
...an increase in temperature (which is a measure of the activity and movement of atoms and molecules) produces a corresponding increase in pressure (which is a measure of the force of the atoms and molecules), if the volume of the air is held constant.
It does not work that way in the atmosphere, as the atmosphere is not a constant volume. An increase in temperature in a high pressure area as it is warmed by the sun causes expansion of the area both horizontally and vertically, thereby resulting in only a minor increase in pressure. However, the pressure increase is measurable, because the atmospheric volume cannot respond immediately to the increase in temperature (that's a lot of air to move).
As I said earlier, I would have expected the increase in altitude to result in an expansion of the container... but I guess there is a (small) chance that some bizarre weather condition combination could result in the container being crushed.