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  • An oxygen cylinder of volume 30 litre has 18.20 moles of oxygen.

Q.33) 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 After some oxygen is withdrawn from the cylinder, its gauge pressure drops to 11 atmospheric pressure at temperature $27^{\circ} \mathrm{C}$. The mass of the oxygen withdrawn from the cylinder is nearly equal to:
[Given, $R=\frac{100}{12} J \mathrm{~mol}^{-1} \mathrm{~K}^{-1}$, and molecular mass of $\mathrm{O}_2=32$, 1 atm pressure $\left.=1.01 \times 10^5 \mathrm{~N} / \mathrm{m}\right]$

A) 0.144 kg

B) 0.116 kg

C) 0.156 kg

D) 0.125 kg

 

Answers (1)

best_answer

From the question,

$PV = (n-x) RT$
$11 \times 1.01 \times 10^5 \times \frac{30}{1000} = (18.20 - x)\times \frac{100}{12} \times 300 $
$x = 4.868 \text{mol}$

$\text {mass }=x \times \text { molecular mass }=4.868 \times 32 \approx 0.156 \mathrm{~kg}$

Hence, the answer is the option 3.

Posted by

Saumya Singh

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