My intuition leads me to believe that the balloon would have negative weight? and I have no idea how we could measure the mass
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It doesn’t have negative weight, no more so than you suddenly have negative weight when floating on water. The issue is helium is buoyant in air, so measuring it’s weight becomes difficult by traditional means.
You would have to measure the pressure of the gas in a balloon or other container, combined with the volume of that container. From that you can derive the mass of helium in it, and then the weight.
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