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Q.

A 2.24 litre cylinder containing $O_{2}$ gas at $27^{o} C$ and 2 atm is found to develop a leakage. When the leakage was repaired the pressure dropped to 100cm of Hg at $27^{o} C$ the number of moles of gas escaped out during leakage is

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a

0.06

b

0.05

c

0.07

d

0.08

answer is A.

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Detailed Solution

$p v = n R T$

initially $\begin{array}{l} 2 \times 2.24 = n_{1} \times 0.0821 \times 300 \\ ∴ n_{1} = 0.182 \end{array}$

Finally $\begin{array}{l} \frac{100}{76} \times 2.24 = n_{2} \times 0.0821 \times 300 \\ n_{2} = 0.120 \end{array}$

Mole given out $= 0.182 - 0.120 = 0.062$

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A 2.24 litre cylinder containing O2 gas at 27oC and 2 atm is found to develop a leakage. When the leakage was repaired the pressure dropped to 100cm of Hg at 27oC the number of moles of gas escaped out during leakage is