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 And a temperature of 27^(@)C. After some oxygen is withdrawn from the cylinder, the gauge pressure drops to 11 atm.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).

An oxygen cylinder of volume 30 litres has an initial gauge pressure o

1.	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 And a temperature of 27^(@)C. After some oxygen is withdrawn from the cylinder, the gauge pressure drops to 11 atm.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).
Answer» Solution :`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`