An open flask containing air is heated from $300 K$ to $500 K$ . What percentage of air will be escaped to the atmosphere, if pressure is kept constant?

80

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40

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60

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20

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Solution

The correct option is B $40$
$V_{1} = V, T_{1} = 300 K, T_{2} = 500 K, V_{2} = ?$
At constant pressure $V_{1} T_{2} = V_{2} T_{1}$
$∴ V_{2} = \frac{V_{1} T_{2}}{T_{1}} = \frac{V \times 500}{300} = \frac{5 V}{3}$
$∴ Volume of air escaped=final volume - initial volume$
$= \frac{5 V}{3} - V = \frac{2 V}{3}$
$∴ % of air escaped = \frac{\frac{2 V}{3}}{\frac{5 V}{3}} \times 100 = 40 %$

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