A balloon is filled with hydrogen at room temperature. It will burst if pressure exceeds 0.2 bar. If at 1 bar pressure the gas occupies 2.27 L volume, up to what volume can the balloon be expanded ?

11.35 L

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>11.35 L

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<11.35 L

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None of these

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Solution

The correct option is C <11.35 L
$v_{1} = 2.27 L; p_{1} = 1 b a r; p_{2} = 0.2 b a r .$
According to Boyle's law
$p_{1} v_{1} = p_{2} v_{2}$
$∴$ the volume of the ballon should not exceed $v_{2} = \frac{1 * 2.27}{0.2} = 11.35 L$

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