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cylinder of volume 30 litres has an initial gauge pressure of 15 atm and a temperature of 27°c. After some oxygen is withdrawn from the cylinder, the gauge pressure drops to 11 atm and its temperature drops to 17°c. Estimate the mass of oxygen taken out of the cylinder (R = 8.31 J mol⁻¹ K⁻¹, molecular mass of O₂ = 32 u).
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Explanation:
Let the initial number of moles of oxygen gas in the cylinder be n1. After some oxygen is withdrawn from the cylinder, the pressure and temperature reduces. Let n2 be the number of moles of oxygen left in the cylinder. Therefore, 0.131 kg of oxygen is taken out of the cylinder.
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