Question

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.

Answer 1

V = 116.70 m^3

Step-by-step 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.