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?

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

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$ 2.27 L$
If $P_{2} = 0.2$ bar, then $V_{2} = \frac{P_{1}V_{1}}{P_{2}}$
$\Rightarrow V_{2} = \frac{1 \,bar \times2 .27L}{0.2 \,bar} = 11.35 L$
Since balloon bursts at$0.2$ bar pressure, the volume of balloon should be less than $11.35 L$.