8. An air bubble inside a liquid of surface tension 1 x 10 N/m grows
from radius 1.0 X 10-m to 1 x 10-4 m in 6 seconds. Find the
average rate of change of pressure inside the bubble.
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Answer:
Given : Depth of air bubble below the water surface h=10cm=0.1m
Radius of air bubble R=1mm=0.001m
Surface tension of water S=0.075N/m
Excess pressure inside the air bubble ΔP=ρgh+
R
2S
∴ ΔP=1000×9.8(0.1)+
0.001
2(0.075)
=1130N/m
2
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