Question

Two inflated Balloons I and II having volume $600ml$ and $1500ml$ at $300K$ are taken as shown in diagram-



If the maximum volume of inner and outer balloons are $800ml$ and $1800ml$ respectively then the balloon which will burst first on gradual heating is:

• A. Outer balloon
• B. Inner balloon
• C. None of them will ever burst
• D. Both will burst simultaneously

Answer 1

Answer: (A)

Apply Charle's law-

For outer balloon

$\frac{V_1}{T_1}=\frac{V_2}{T_2}$

$\frac{1500}{300}=\frac{1800}{T_2}$

$T_2=360K$

Outer balloon will reach its maximum volume at $360K$ and burst beyond it.

For inner balloon:

$\frac{V_1}{T_1}=\frac{V_2}{T_2}$

$\frac{600}{300}=\frac{800}{T_2}$

$T=400K$

Inner balloon will reach its maximum volume at $400K$ and burst beyond it. So, on gradual heating outer balloon will burst first.