Question

A balloon is filled with hydrogen at room temperature. It will burst if the pressure exceeds 0.2 bar. If at 1 bar pressure the gas occupies 2.27 L volume. Up to what volume can the balloon be expanded?

• A. 9.35 L
• B. 10.35 L
• C. 11.35 L
• D. 0.454 L

Answer 1

The correct option is C

11.35 L

Pressure $P_1$ = 1 bar, Volume $V_1$ = 2.27 L

Pressure $P_2$ = 0.2 bar, Volume $V_2$ = To be calculated

As temperature remains constant at room temperature, applying Boyle’s Law, $P_1{V}_1=P_2{V}_2$

(1 bar)(2.27 L) = (0.2 bar) ($V_2$)

$V_2$ = $\frac{2.27}{0.2}$ = 11.35 L

Thus, the balloon can be expanded upto 11.35 L. Beyond this volume it will burst.