this post was submitted on 10 Oct 2025
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The pressure is the same inside and outside, but the helium is lighter so the balloon floats. From the ideal gas law PV=NRT and plugging in the constants you get the well known rule that at standard temperature and pressure, the volume of 1 mole of gas is about 22.7 liters. It's weight depends solely on the gas's molecular weight.
The molecular weight of helium is 4 while for air (a mix of N2 and O2) it's a little over 28. That should let you calculate the lifting force for a given size of balloon.