Question

Two inflated balloons I and II (thin skin) having volume $600\,ml$ and $1500\,ml$ at $300\,K$ are taken as shown in diagram. If maximum volume of inner and outer balloons are $800\,ml$ and $1800\,ml$ respectively then find the balloon which will burst first on gradual heating.

• A. inner balloon
• B. outer balloon
• C. both simultaneously
• D. unpredictable

Answer 1

Answer: (B)

Using Charles law
$\frac{V_{1}}{T_{1}}=\frac{V_{2}}{T_{2}}$
Suppose inner balloon burst first $\frac{600}{300}=\frac{800}{T_{2}}$
$\text{T}_{\text{2}} = 400 \, \text{K}$
At $400 \, \text{K}$ the volume of outer balloon is $\text{2000} \, \text{ml}$ so, outer balloon burst first.