Question

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?

Answer 1

From the given data,

$V_1=2.27L$ and $P_1=1bar$ and $P_2=0.2bar$

$V_2=?$

According to Boyle's law

$P_1{V}_1=P_2{V}_2$

$\Rightarrow V_2=\frac{1bar\times 2.27L}{0.2bar}=11.35L$

Since balloon bursts at $0.2bar$ pressure, the volume of the balloon should be less than $11.35L$ .