Question

A balloon is filled with helium at sea level. The volume was measured to be 3.1 liters at a pressure of 0.97 atmosphere. If the balloon is released, it drifts upward. At a height of 4 kilometers, the pressure is measured to be 0.61 atmospheres. What is the volume of the balloon?

Answer 1

The height of the balloon is insignificant; all we need to solve the problem are the Pressure, Volume, and the formula:\[P _{1}V _{1}=P _{2}V _{2}\]
Plugging in the variables gives us:
\[(.97atm)(3.1L)=(.61atm)(V _{2})\]
Finally, isolating the variable will give us our answer of 4.93L.