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 After some oxygen is withdrawn from the cylinder, its gauge pressure drops to 11 atmospheres at a temperature of 27^\circC. The mass of

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 After some oxygen is withdrawn from the cylinder, its gauge pressure drops to 11 atmospheres at a temperature of 27^\circC. The mass of the oxygen withdrawn from the cylinder is nearly equal to: [Given R = \dfrac{100}{12}\ \mathrm{J\,mol^{-1}\,K^{-1}}, molecular mass of \mathrm{O2} = 32, 1 atm pressure = 1.01 	imes 10^{5}\ \mathrm{N/m^2}]

Vishal Gupta · Accepted Answer

C. Final moles n = \frac{PV}{RT} = \frac{12 	imes 1.01	imes10^{5} 	imes 0.030}{(100/12) 	imes 300} \approx 14.5 mol (gauge 11 atm means absolute 12 atm). Withdrawn \approx 18.2 - 14.5 = 3.7 mol \approx 0.116 kg.

Kinetic Theory

More from this chapter in past papers