How Do You Calculate Absolute Pressure at a Depth Using Bubble Size Changes?

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To calculate the absolute pressure at a depth using the change in bubble size, the relevant equation is P1V1 = P2V2, where P represents pressure and V represents volume. The initial bubble radius of 5 mm and final radius of 7.4 mm indicate a change in volume as the bubble rises. The hydrostatic pressure can be calculated using the formula P = ρgh, where ρ is the fluid density, g is the acceleration due to gravity, and h is the depth. The follow-up question involves determining the diver's depth using the calculated pressure. Understanding these equations is crucial for solving both the pressure and depth problems.
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Problem:

An air bubble originating froman under water
diver has a radius of 5 mm at some depth h.
When the bubble reaches the surface of the
water, it has a radius of 7.4 mm.
Assuming the temperature of the air in the
bubble remains constant, determine the abso-
lute pressure at this depth h. The acceleration
of gravity is 9.8 m/s2 .
Answer in units of Pa.

Homework Equations


what I need to know. Is this a PV=nRT question??


The Attempt at a Solution



I don't need to know the answer to the question, just what equation to use to find the absolute pressure. there is a follow up question to determine the depth of the diver as well.
 
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I simplified it to P1V1=P2V2 and solved for P1 and got the answer. Anyone know how to find the depth of the diver given all these variables?
 
Hi J0hnnyD, welcome to PF. Do you know how to find the hydrostatic pressure at a certain depth in a fluid?
 

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