A helium balloon can just lift a load of 790 N. The skin of the balloon has a mass of 1.80 kg. What is the volume of the balloon?(the densit

Question

A helium balloon can just lift a load of 790 N. The skin of the balloon has a mass of 1.80 kg. What is the volume of the balloon?(the density of air is 1.29 kg/m³ and the density of helium is 0.179 kg/m³)

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Dulcie 3 years 2021-08-01T06:38:31+00:00 1 Answers 11 views 0

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  1. minhkhue
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    2021-08-01T06:40:15+00:00
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    Answer:

    74.10 cubic meters

    Explanation:

    The weught of load, balloon and heilium equals the weight of air displaced.

    We know that density is mass per unit volume hence mass is product of density and volume, m=dv where d is density and v is volume

    Weight is product of mass and acceleration due to gravity, W=mg=mgv where g is acceleration due to gravity and m is mass. We take g to be 9.81 m/s2

    Weight of load=790 N

    Weight of ballon= mg= 1.8*9.81

    Weight of helium=0.179*9.81*v

    Weight of air displaced =1.29*9.81*v

    790+(1.8*9.81)+(9.81*0.179*v)=1.29*9.81*v

    (1.29-0.179)v*9.81=807.658

    10.89891v=807.658

    V=74.104474667650

    Rounding off, the volume is 74.10 cubic meters

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