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 be balloon be expanded ?

Explanation

Expansion of gas in balloonb mass (n) and temperature (T) remains constant. So Boyle.s low uses.
Asccording to Boyle.s law, `p_(1)V_(1)=p_(2)V_(2)`
where `p_(1)=` Initial pressure = 1 bar
`V_(1)=` Initial volume = 2.7 L
`p_(2)=` Final Pressure
= Initial pressure + Increase in pressure
= 1 bar + 0.2 bar = 1.2 bar
`V_(2)=` Final volume (when it will burst)
`therefore V_(2) = (p_(1)V_(1))/(p_(2))=(("1 bar")(2.7 L))/("1.2 bar")=11.35 L`
It pressure increases at 0.2 bar it will burst so its volume is less than 11.35 Lit.