A 16.0 L helium tank is pressurized to 25.0 atm.

Question

A  16.0 L helium tank is pressurized to 25.0 atm. When connected to this tank, a balloon will inflate because the pressure inside the tank is greater than the atmospheric pressure pushing on the outside of the balloon. Assuming the balloon could expand indefinitely and never burst, the pressure would eventually equalize causing the balloon to stop inflating. What would the volume of the balloon be when this happens?

Assume atmospheric pressure is 1.00 atm. Also assume ideal behavior and constant temperature.

Answer 1

V1 = initial volume = 16.0 L

P1 = initial pressure = 25.0 atm

V2 = final volume = ?

P2 = final pressure = 1.00 atm

@ constant temperature P1V1 = P2V2

(25.0 atm)(16.0 L) = (V2)(1.00 atm)

V2 = 400 L