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When you open the door of your spaceship, the oxygen disappears from the ship.

So if I put a very very long tube from the Earth to space, would all the oxygen from the Earth automatically aspire into space?

And then no one can breathe anymore so everyone dies.

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No. The Earth's atmosphere is held in place entirely by the Earth's gravity. There is no barrier at the top of the atmosphere keeping it from escaping. Running a straw from the ground to deep space would not change the gravitational force holding the air molecules down; it would, in fact, change nothing.

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