Question

An air bubble of radius 3cm rises from a depth of 7.0
m in a swimming pool. What will the radius of the bubble just before it reaches the water surface. Assuming that the water temperature is uniform, take approximate height of water barometer at 10.34m​

Answer 1

V1 = Volume of bubble at 60m below water surface = 4πr³/3 = (4×3.142×3×3×3)/3 = 113.112cm³

P1 = Pressure at 60m below water surface = 10+60 = 70m of water.

P2 = Pressure at just below water surface = 10m of water.

V2 = Volume of bubble just below water surface = ?

Using P1V1 = P2V2 (BOYLE'S LAW)

70×113.112 = 10×V2

V2 = 7×113.112 = 791.784cm³ (ANSWER)