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A ballon is filled with hydrogen at room...

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

Text Solution

Verified by Experts

According to Boyle.s law, at constant temperature,
`p_(1)V_(1)=p_(2)V_(2)`
`"If "p_(1)="1 bar then "V_(1)=2.27 L`
`"If "p_(2)="0.2 bar, then"`
`V_(2)=(p_(1)V_(1))/(p_(2))`
`=("1 bar "xx2.27L)/("0.2 bar")`
`=11.35 L`
Since balloon bursts at 0.2 bar pressure, the volume of the balloon should be less than 11.35 L.
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