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Grade: 11

                        

The diameter of a bubble at the surface of lake is 4mm and at the bottom of the lake is 1mm . if atmospheric pressure is 1 ATM and the temperature of the lake water is equal to that of atmosphere. What is cut he depth of the lake?

4 years ago

Answers : (1)

Vikas TU
12276 Points
							
Use simple ideal eqn. that is from charles law,
P1V1/T1 = P2V2/T2...............(1)
At the surface,
P1 = 1 atm.
V1 = 4pi*(4)^2
and
At the bottom
P2 = 1 atm + pgh = > 1 + (1000*9.8*h)/10^5 atm
V2 = 4pi*1^2
Put all the values in eqn. (1) with temp. same,
we get, 
16 = 1+ 0.098h
h = 153.03 meter.
4 years ago
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