Application of Archimedes' Principle and Law of Flotation.
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A balloon filled with Helium and air is designed to support a mass of 106kg (payload+ empty balloon) and the mass of gases which fill it.Air density is 1.29kg/m^3, Helium plus air density in the balloon is 0.247kg/m^3, and Helium density is 0.179kg/m^3. Ignoring the volume of the payload, find the volume of the balloon. Answer in units of m^3.
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Let the volume of the balloon be V m^3
Mass of Helium plus air in balloon 0.247*V Kg
Total mass = (0.247V + ...
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