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 After some oxygen is withdrawn from the cylinder, its gauge pressure drops to 11 atmospheric pressure at temperature 27^ C . The mass of the oxygen withdrawn from the cylinder is nearly equal to : [Given, R= 100 12 ~J ~mol ^ -1 ~K ^ -1

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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 After some oxygen is withdrawn from the cylinder, its gauge pressure drops to 11 atmospheric pressure at temperature 27^ C . The mass of the oxygen withdrawn from the cylinder is nearly equal to : [Given, R= 100 12 ~J ~mol ^ -1 ~K ^ -1 , and molecular mass of O_2=32,1 ~atm pressure .=1.01 10^5 ~N / m ]

Quantrex Academy · Accepted Answer

Correct answer: C. 0.116 ~kg

aligned & n _ f = P _ f V RT [ P _ abs =12 ~atm ] \ & = 12 1.01 10^5 30 10^ -3 ( 100 12 ) 300 \ & =14.544 \ & moles removed =18.2-14.544=3.656 \ & mass removed =3.656 32 1000 ~kg =0.116 ~kg aligned

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