PYQ Vault

Air bubble rising from the bottom of a lake or pool: its volume at the surface

This type of question, asked 2 times: 8 Apr 2023, 23 Jan 2026 S2. All 2 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    8 Apr 2023

    18
    An air bubble of volume 1 cm31{\text{ }cm}^{3} rises from the bottom of a lake 40 m40\text{ }m deep to the surface at a temperature of 12∘C12^{\circ}C. The atmospheric pressure is 1×105 Pa1 \times10^{5}\text{ }Pa, the density of water is 1000 kg/m31000\text{ }kg/m^{3} and g=10 m/s2g = 10\text{ }m/s^{2}. There is no difference of the temperature of water at the depth of 40 m40\text{ }m and on the surface. The volume of air bubble when it reaches the surface will be

    Tap an option to check your answer.

  2. Question 2

    23 Jan 2026 S2

    11
    An air bubble of volume 2.9 cm32.9{\text{ }cm}^{3} rises from the bottom of a swimming pool of 5 m deep. At the bottom of the pool water temperature is 17∘C17^{\circ}C. The volume of the bubble when it reaches the surface, where the water temperature is 27∘C27^{\circ}C, is ____\_\_\_\_ cm3cm^{3}. ( g=10 m/s2g = 10\text{ }m/s^{2}, density of water =103 kg/m3=10^{3}\text{ }kg/m^{3}, and 1 atm pressure is 105 Pa10^{5}\text{ }Pa)

    Tap an option to check your answer.