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NEET-XI-Chemistry

05: States of Matter

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  • #16
    Pay load is defined as the difference between the mass of displaced air and the mass of the balloon. Calculate the pay load when a balloon of radius 10 m, mass 100 kg is filled with helium at 1.66 bar at 27°C. (Density of air = 1.2 kg m-3 and R = 0.083 bar dm3 K-1 mol-1).
    Ans : Given,

    Radius of the balloon, r = 10 m

    Volume of the balloon



    Thus, the volume of the displaced air is 4190.5 m3.

    Given,

    Density of air = 1.2 kg m-3

    Then, mass of displaced air = 4190.5 × 1.2 kg

    = 5028.6 kg

    Now, mass of helium (m) inside the balloon is given by,



    Now, total mass of the balloon filled with helium = (100 + 1117.5) kg

    = 1217.5 kg

    Hence, pay load = (5028.6 - 1217.5) kg

    = 3811.1 kg

    Hence, the pay load of the balloon is 3811.1 kg.