Question

A balloon blown up with $1$ mole of gas has a volume of $480mL$ at $5^{\circ }C$, the balloon is filled to $\left(7/8\right)th$ of its maximum capacity. Find the minimum temperature at which it will burst.

• A. ${55}^{\circ }C$
• B. ${100}^{\circ }C$
• C. ${44.67}^{\circ }C$
• D. ${34.67}^{\circ }C$

Answer 1

Answer: (C)

${44.67}^{\circ }C$

Maximum capacity or volume of the balloon

$=\frac{8}{7}\times 480=548.47mL$

Also $V_1=480mL,T_1=278K,n=1$ mole

The balloon will burst at the temperature say $T_2$ when the volume becomes 548.57mL

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

$\frac{480}{278}=\frac{548.57}{T_2}$

$T_2=317.71K={44.67}^{0}C$

Hence, the correct option is $\text{C}$