Question

A helium-filled balloon occupies a volume of 15 cubic meters at sea level. the balloon is released and raises to a point in the atmosphere where the pressure is .75 atm. what is its volume if the temperature remains the same?

Answer 1

According to Boyle’s law, For a fixed amount of an ideal gas kept at a fixed temperature, P (pressure) and V (volume) are inversely proportional.

Therefore,

`P_(1) V_(1) =P_(2) V_(2)`

Given
`P_(1) = 1 atm` ,
`V_(1) = 15 \ cubic \ meter` and
`P_(2) = 0.75\ atm`.

Thus,

`V_(2) = (P_(1)* V_(1)  )/( P_(2) ) = (1* 15)/(0.75) =20 m^3`