A 11.0_L. helium lank is pressurized to 21.0 atm. When connected lo this tank, a

Question

A 11.0_L. helium lank is pressurized to 21.0 atm. When connected lo 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.

Explanation / Answer

Using the ideal gas equation, we have

P1 V1 = P2 V2

where P1 = 21.0 atm , V1 = 11.0 L , P2 = 1.0 atm , V2 = Vtank + Vballon = ??

V2 = 21.0 atm x 11.0 L / 1.0 atm

= 231.0 L

but

Vballon = V2 - Vtank

= 231.0 L - 11.0 L

= 220.0 L

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