Question

Including them, the mass of the balloon was 1890 kg and had a volume of 11,430 m3 . The balloon floats at a constant height of 6.25m above the ground. What is the density of the hot air in the balloon

Answer 1

Given :

The mass of the balloon was 1890 kg and had a volume of 11,430 m3 .

The balloon floats at a constant height of 6.25m above the ground.

To Find :

The density of the hot air in the balloon.

Solution :

We know,

Volume × ( Density of surrounding air - Density of hot air ) = mass

Putting given values in above equation, we get :

`11430* ( 1.29 - \rho_(hot \ air ) ) = 1890\\\\\rho_(hot \ air ) = 1.29 - (1890)/(11430)\\\\\rho_(hot \ air ) = 1.125\ kg\ m^3`

Therefore, the density of hot air in the balloon is 1.125 kg m³.