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4 February, 20:57

A balloon filled with helium plus air at atmospheric pressure is designed to support a mass of 116 kg (payload + empty balloon). Air density is 1.29 kg/m^3, helium plus air density in the balloon is 0.296 kg/m^3, and helium density is 0.179 kg/m^3. Ignoring the volume of the payload, find the volume of the balloon. Answer in units of m^3.

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  1. 5 February, 00:52
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    V = 116.70 m^3

    Explanation:

    let Mb be the mass of the baloon

    since air density = 1.29 kg/m^3 and helium plus air density = 0.296kg/m^3

    then, the lifting capacity is = (1.29 - 0.296) kg/m^3

    then the volume of the baloon is given by:

    V = Mb / (lifting capacity)

    = 116kg / (0.994 kg/m^3)

    = 116.70 m^3

    Therefore, the volume of the baloom is 116.70 m^3.
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