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if you had a liquid in a flask, you could never approach a vacuum, because some of the liquids vapor would fill the emptiness in the air.
If you used a vacuum pump, however, and you were using some very robust vials, you could aproach a vacuum, and also have the temperature approach absolute zero, 0K, or -283C. You wouldnt be able to do this with your pyrex flask, it would definitely implode if the pressure got too low. The stopper probably wouldnt stay stopped either.
The same thing basically happens if you bring a drink on an airplane, to approximately the same degree as the boiling experiment.
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