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NEET2025PhysicsKinetic Theory of GasesActual

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 After some oxygen is withdrawn from the cylinder, its gauge pressure drops to 11 atmospheric pressure at temperature 27^ C . The mass of the oxygen withdrawn from the cylinder is nearly equal to : [Given, R= 100 12 ~J ~mol ⁻¹ ~K ⁻¹ , and molecular mass of O₂=32,1 ~atm pressure .=1.01 10^5 ~N / m ]

Options

  1. A0.125 ~kg
  2. B0.144 ~kg
  3. C0.116 ~kg
  4. D0.156 ~kg

Correct answer

C. 0.116 ~kg

Step-by-step solution

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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