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 $2.27L$ volume, upto what volume can the balloon be expanded?

• A. $22.5L$
• B. $11.35L$
• C. $5.7L$
• D. $9.8L$

Answer 1

Answer: (B)

According to Boyles law, $P_1{V}_1=P_2{V}_2$
If $P_1$ is 1 bar, $V_1$ is$2.27L$
If $P_2=0.2$ bar, then $V_2=\frac{P_1{V}_1}{P_2}$
$\Rightarrow V_2=\frac{1bar\times 2.27L}{0.2bar}=11.35L$
Since balloon bursts at$0.2$ bar pressure, the volume of balloon should be less than $11.35L$.