Question

A balloon is filled with hydrogen at room temperature. It will burst if the pressure exceeds $5\text{bar}$. If at $1\text{bar}$ pressure the gas occupies $2.5\text{L}$, upto what volume can the balloon be compressed?

• A. $1.2\text{L}$
• B. $1.5\text{L}$
• C. $0.5\text{L}$
• D. $0.8\text{L}$

Answer 1

The correct option is C $0.5\text{L}$

According to Boyle’s Law, $P_1{V}_1=P_2{V}_2$
If $P_1$ is 1 bar, $V_1$ will be $2.5\text{L}$
If $P_2=5$ bar, then $V_2=\frac{P_1{V}_1}{P_2}=\frac{1\times 2.5}{5}\text{L}=0.5\text{L}$
Since the balloon bursts above $5\text{bar}$ pressure, the volume of the balloon should be more than $0.5\text{L}$ to avoid bursting.