An oxygen cylinder of volume 30 litres has an initial gauge pressure of 15 atm. And a temperature of `27^(@)C`. After some oxygen is withdrawn from the cylinder, the gauge pressure drops to 11 atm. And its temperature drops to `17^(@)C`. Estimate the mass of oxygen taken out of the cylinder. `(R = 8.1 J "mole"^(-1) K^(-1)`, molecular mass of `O_(2) = 32 u)`.

Explanation

`V_(1)=30"litre"=30xx10^(3)cm^(3)=3xx10^(-2)m^(3)`
`P_(1)=15xx1.013xx10^(5)N/m^(2)`
`T_(1)=300K`
`mu_(1)=(P_(1)V_(1))/(RT_(1))=18.3`
`P_(2)=11xx1.013xx10^(5)N//m^(2)`
`V_(2)=3xx10^(-2)m^(3)`
`T_(2)=290K`
`mu_(2)=(P_(2)V_(2))/(RT_(2))=13.9`
`mu_(2)-mu_(1)=18.3-13.9=4.4`
Mass of gas taken out of cylinder
`=4.4xx32g`
`=140.8g`
`=0.140kg`