Question

Boyle’s law states that the volume of a gas varies inversely with applied pressure. A helium balloon has a volume of 22 cubic meters at sea level where the air pressure is 1 atmosphere. The balloon is released and rises to a point where the air pressure is only 0.8 atmosphere. What is the volume at this height in cubic meters?

Answer 1

Volume, V₂ = 27.5 m³

Explanation:

According to Boyle's law, the volume of a gas varies inversely with applied pressure.

i.e.
`V\propto(1)/(P)`

or
`V_1P_1=V_2P_2`

V₁ = 22 m³

P₁ = 1 atm

P₂ = 0.8 atm

We have to find V₂ as :

`V_2=(V_1P_1)/(P_2)`

`V_2=(22\ m^3* 1\ atm)/(0.8\ atm)`

`V_2=27.5\ m^3`

Hence, the volume at the height is 27.5 m³