Okay so I have a quandary.
We usually assume that if we have a container with a gas in it, then the gas pressure will be equalized inside the container, right?
However, what happens if I make that container 100 km high?
Gravity is still acting on the air inside the box, just as it does on the air outside of it, so why shouldn't it form a graduated pressure differential inside the box just as the atmosphere does?
If the box was open at the top there there is no question that it would have a graduated pressure inside, but why would this go away merely because the top was closed?
Am I missing something, or does the idea of a gas equalizing the pressure in a container start to break down when the container is tall enough that gravitation forces can start to play a part?
We usually assume that if we have a container with a gas in it, then the gas pressure will be equalized inside the container, right?
However, what happens if I make that container 100 km high?
Gravity is still acting on the air inside the box, just as it does on the air outside of it, so why shouldn't it form a graduated pressure differential inside the box just as the atmosphere does?
If the box was open at the top there there is no question that it would have a graduated pressure inside, but why would this go away merely because the top was closed?
Am I missing something, or does the idea of a gas equalizing the pressure in a container start to break down when the container is tall enough that gravitation forces can start to play a part?
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