Q104 / 125 · BITSAT 2017 · Physics

A balloon is filled at $27 ° C$ and $1 atm$ pressure by $500 m^{3}$ $He$ . At $- 3 ° C$ and $0.5 atm$ pressure, the volume of $He$ will be

Solution

We have, $\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}}$

or $V_{2} = \frac{P_{1} V_{1} T_{2}}{P_{2} T_{1}}$

$= \frac{1 \times 500 \times (273 - 3)}{0.5 \times (273 + 27)} = \frac{1 \times 500 \times 270}{0.5 \times 300}$

$V_{2} = 900 m^{3}$

Hence, the correct answer is option: 'B'.