Question

A balloon is inflated in a warm living room (24°C) to a volume of 2.5L. It was taken out on a very cold winter day (-30°C). Assuming that mass of air and pressure inside the balloon are constant, find out the volume of the balloon.

Answer 1

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Answer 2

Answer:

The final volume of the balloon is 2.05 L.

Explanation:

Given that:

Initial temperature $T_{1}$ = 24 °C = 273 + 24 = 297 K

Final temperature $T_{2}$ = -30 °C = 273 + (-30) = 243 K

Initial volume $V_{1}$ = 2.5 L

The volume of an ideal gas is directly proportional to the absolute temperature at constant pressure, according to Charles law. When the pressure imposed on a sample of a dry gas is held constant, the Kelvin temperature and volume will be in direct proportion, according to the law.

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

⇒$V_{2}$ = $\frac{V_{1} }{T_{1} }$ × $T_{2}$

= $\frac{2.5*243}{297}$ = 2.05 L

Therefore, the final volume of the balloon is 2.05 L.