An oxygen cylinder of volume 30 litre has 18.20 moles of oxygen. After some oxygen is withdrawn from the cylinder, its gauge pressure drops to 11 atmospheric pressure at temperature $27^\circ$C. The mass of the oxygen withdrawn from the cylinder is nearly equal to : [Given, $R=\frac{100}{12}\,J\,mol^{-1}K^{-1}$, and molecular mass of $O_2 = 32$, 1 atm pressure $= 1.01 imes 10^5\,N/m^2$]

Question

An oxygen cylinder of volume 30 litre has 18.20 moles of oxygen. After some oxygen is withdrawn from the cylinder, its gauge pressure drops to 11 atmospheric pressure at temperature $27^\circ$C. The mass of the oxygen withdrawn from the cylinder is nearly equal to : [Given, $R=\frac{100}{12}\,J\,mol^{-1}K^{-1}$, and molecular mass of $O_2 = 32$, 1 atm pressure $= 1.01 	imes 10^5\,N/m^2$]

Dr. Abubacker · Accepted Answer

[Solution by Claude - not from source] Absolute pressure $=11+1=12$ atm $=1.212	imes10^6$ Pa. $n_f=\frac{PV}{RT}=\frac{1.212	imes10^6	imes30	imes10^{-3}}{(100/12)	imes300}\approx14.54$ mol. Withdrawn $=18.20-14.54\approx3.66$ mol $\approx0.117$ kg, closest to 0.116 kg. Answer (3).

Explanation

Reviewed by Dr. Abubacker

Want to attempt the full paper?