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24 November, 09:21

A helium tank holds a volume of. 02 m^3 at a pressure of 15.5*10^6 Pa and a temperature of 293 K. How many spherical balloons with a radius of. 11 m can be filled with this much helium if the temperature remains constant?

Answer unit is Balloons

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  1. 24 November, 10:17
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    We shall find the volume of stored gas at atmospheric pressure.

    P₁ V₁ = P₂ V₂

    15.5 x 10⁶ x. 02 = 10⁵ x V₂ (atmospheric pressure is 10⁵ Pa)

    V₂ = 3.1 m³

    volume of one balloon = 4/3 x π r³, r is radius of balloon

    = 4/3 π x. 11³

    =.050658 m³

    no of balloon = total volume to be filled / volume of one balloon

    = 3.1 /.050658

    = 61.2

    = 61
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