Someone please answer this?

Question

A cylinder of compressed gas has a volume of 60 L and a pressure of 10 atm. What volume would the gas occupy if allowed to escape into a balloon at a pressure of 1.5 atm?

Assume no temperature change.

Answer 1

Hello Janet,

You can solve this problem using the ideal gas law. The ideal gas law is PV=NRT. P is pressure, V is volume, N is your number of moles of gas, R is your ideal gas constant, and T is the temperature. The temperature stays constant and so does the number of moles of gas.

Because N, R, and T are constant, you can solve this problem using P1V1=P2V2.

P1 is the initial pressure (10 Atm), V1 is the initial volume (60 L), and P2 is the new pressure (1.5 atm), V2 is the new volume (the volume in the balloon).

We need to find V2

P1V1=P2V2

(10 atm)*(60 L)=(1.5 atm)*(V2)

((10 atm)*(60 L))/(1.5 atm)=(V2)

V2=400 L