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

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SUMMARY

The discussion focuses on calculating the absolute pressure at a certain depth underwater based on the size changes of an air bubble. An air bubble with an initial radius of 5 mm expands to 7.4 mm at the surface, indicating a change in pressure. The relevant equation used for this calculation is the ideal gas law in the form of P1V1 = P2V2, where P represents pressure and V represents volume. The acceleration due to gravity is noted as 9.8 m/s², which is essential for further calculations related to depth.

PREREQUISITES
  • Understanding of the ideal gas law (PV=nRT)
  • Knowledge of hydrostatic pressure calculations
  • Familiarity with volume calculations of spheres
  • Basic principles of fluid mechanics
NEXT STEPS
  • Learn how to calculate hydrostatic pressure at a specific depth in a fluid
  • Study the relationship between pressure and volume changes in gases
  • Explore the derivation and application of the ideal gas law
  • Investigate the effects of temperature on gas behavior in underwater environments
USEFUL FOR

Students in physics or engineering, particularly those studying fluid mechanics and thermodynamics, will benefit from this discussion. It is also useful for anyone involved in underwater research or diving physics.

J0hnnyD
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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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