Question

A balloon has a volume of 2.27 L at 1 bar external pressure. It is known that it bursts when the pressure (external) reaches 0.2 bar. What would be the volume at which it bursts? Assume that a finite number of moles occupy the balloon and that the temperature remains constant.

• A. 11.35 L
• B. 12.35 L
• C. 13.35 L
• D. 10.35 L

Answer 1

The correct option is A

11.35 L

Boyle's Law gives the pressure - volume relationship of gases at room temperature.

According to Boyle's Law,

$P\propto \frac{1}{V}$

⇒ According to Boyles law, $P_1{V}_1=P_2{V}_2$

If $P_{1}is1bar,V_1$ will be 2.27 L.

If $P_2$=0.2 bar, then

$V_2=\frac{P_1{V}_1}{P_2}=\frac{1bar\times 2.27L}{0.2}$ = 11.35 L

Since the balloon bursts at 0.2 bar pressure, the volume at which this would happen would be 11.35 L