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Question

An air bubble is rising up from the bottom of a pond. Find the depth of the pond, if its volume at the surface becomes eight times its volume at the bottom. Find the depth of the pond. (Write your answer to the nearest integer)

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Solution

When the air bubble at the surface where pressure is atmospheric pressure (P2, 1 atm) and volume (V2) becomes 8 times its volume (V1) at the bottom.
Pressure at bottom (P1)
P1V1=P2V2
P1=1atm×8V1V1=8atm
Fluid pressure = 8 atm - 1 atm=7 atm
ρ×g×h= 7 atm
1000×9.8×h=7×101325h=72.375m
h=72.375 m

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