Ice Station Bravo near the North Pole launched a helium-filled balloon to check atmospheric conditions. At sea level (1.0 atm) where the balloon was launched, it had a volume of 0.93m^3. It rose to an altitude of 18000m where the atmospheric pressure dropped to 0.072atm.

What is the volume of the balloon at that altitude assuming that the temperature was the same at sea level?

12.9 m³ is the new volume

Explanation:

As the temperature keeps on constant, and the moles of the gas remains constant too, if we decrease the pressure, the volume will increase. If the volume is decreased, pressure will be higher.

The relation is this: P₁. V₁ = P₂. V₂

1 atm. 0.93m³ = 0.072 atm. V₂

0.93m³. atm / 0.072 atm = V₂

V₂ = 12.9 m³

In conclusion and as we said, pressure has highly decreased so volume has highly increased.