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For two days now ive been thinking on and off about how much air it would take to fill a balloon in a perfect vacuum :)
@freemo It depends on the definition on filling a balloon
With one molecule it could be considered full
Now I am thinking about how to figure out how much air can I get inside a balloon in a perfect vacuum before it pops
@Gabiiel Basically I mean to fill it up in the sense of being the size your normally blow a balloon to be on earth. Basically large enough to be big but not so large it pops.
@freemo PV=nRT I guess
Volume, let's say a sphere with about 0.04 in diameter
n is our variable
T, let's say 25°C or 298K
P= the force a latex balloon make at such size
@Gabiiel What I find interesting here are a few thing, but most notably its the nature of the curve (not monotomically increasing as one might expect).. If my reasoning is correct there is a point where if the balloon gets to a certain size it will continue to expand with no additional air as the pressure decreases. So there should be a point right around the peak where adding even a tiny bit of air would cause an instantnious leap in size.
Similar there are cases where two different sizes exhibit the same pressure, whic is also counter intuitive.
@freemo there is also this video, but on normal conditions
https://youtu.be/fwh-i0WB_bQ
@freemo
https://royalsocietypublishing.org/doi/pdf/10.1098/rspb.1909.0047
Firs the pressure of approximately the same experiment, and my calculations for the number of moles of it