Question

A compressed cylinder of gas contains `1.50xx10^(3)` g of `N_(2)` gas at a pressure of `2.0xx10^(7)` Pa and a temperature of `17.1^(@)C`. What volume of gas has been released into the atmosphere if the final pressure in the cylinder is `1.80xx10^(5)` Pa ? Assume ideal behaviour and that the gas temperature is unchanged.
A. 1264 L
B. 126 L
C. 12600 L
D. 45 L

Answer 1

Correct Answer - a
(a) `n_(N_(2))=53.57"mole"`
`(P_(1))/(P_(2))=(n_(1))/(n_(2))`
`n_(2)=(1.8)/(200)=0.009xx53.57=0.48213`
`n_(N_(2))"escape"=53.087`
`"volume"=(nRT)/(P)=1264L`