Question

A cylinder of compressed gas has a volume of 350 ml and a pressure of 931 torr. What volume in Liters would the gas occupy if allowed to escape into a balloon at a pressure of 113 kPa if temperature and # of molecules remain constant?

Answer 1

`0.384\ \text{L}`

Step-by-step explanation:

`P_1` = Initial pressure = 931 torr =
`931* (101.325)/(760)=124.12\ \text{kPa}`

`P_2` = Final pressure = 113 kPa

`V_1` = Initial volume = 350 mL

`V_2` = Final volume

From the Boyle's law we have

`P_1V_1=P_2V_2\\\Rightarrow V_2=(P_1V_1)/(P_2)\\\Rightarrow V_2=(124.12* 350)/(113)\\\Rightarrow V_2=384.44\ \text{mL}=0.384\ \text{L}`

The volume the gas would occupy is
`0.384\ \text{L}`.