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A balloon is filled with hydrogen at roo...

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, upto what volume can the balloon be expanded?

Text Solution

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According to Boyle' Law `p_1V_1=p_2V_2`
if `p_1` is 1 bar `V_1` will be 2.27 L
if `P_2=0.2` bar then, `V_2=(p_1V_1)/p_2`
`implies V_2=( 1 b ar times 2.27 L)/(0.2 B ar)=11.35L`
Since balloon bursts ar 0.2 bar pressure, the volume of balloon should be less than 11.35 L.
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