5.16 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 and ).
The payload can be defined as:
(Mass of the displaced air - Mass of the balloon)
Given the radius of the balloon, r = 10 m.
Mass of the balloon, m = 100 kg.
Therefore, the volume of the balloon will be:
Now, the volume of the air displaced:
The mass of the air displaced :
Let be the mass of helium gas filled into the balloon, then
The balloon is filled with He with total mass of
The payload of the balloon will be: