Calculating the diameter of a bubble when it reaches the surface

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SUMMARY

The discussion focuses on calculating the diameter of an air bubble released by a scuba diver at a depth of 15 meters, initially measuring 1.0 cm. The problem involves understanding the principles of pressure and volume in an isothermal process, utilizing the ideal gas law equations, specifically pV=nRT and pV=NkT. The key takeaway is that as the bubble ascends, the pressure decreases, leading to an increase in its diameter upon reaching the surface.

PREREQUISITES
  • Understanding of the ideal gas law (pV=nRT)
  • Knowledge of pressure as a function of depth in fluids
  • Familiarity with isothermal processes in thermodynamics
  • Basic algebra for solving equations
NEXT STEPS
  • Research the relationship between pressure and depth in fluids
  • Study the ideal gas law and its applications in real-world scenarios
  • Learn about isothermal processes and their characteristics
  • Explore practical examples of buoyancy and gas expansion in liquids
USEFUL FOR

This discussion is beneficial for physics students, scuba divers, and anyone interested in fluid dynamics and thermodynamics, particularly in understanding gas behavior under varying pressure conditions.

qspartan570
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Homework Statement



A scuba diver releases an air bubble of diameter 1.0 cm at a depth of 15 m below the surface of a lake. What will be the diameter of this bubble when it reaches the surface? Assume that the temperature of this bubble remains constant.



Homework Equations



p=F/A
pV=nRT
pV=NkT
R=8.31 J/mole K




The Attempt at a Solution



I'm not sure on how to find the unknowns (F or p) for the formula p=F/A
 
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You realize this is an isothermal process?
You just need to know the pressure as a function of depth - google for it :) if it's not in your notes.
 
Simon Bridge said:
You realize this is an isothermal process?
You just need to know the pressure as a function of depth - google for it :) if it's not in your notes.

Ok I got the right answer now. Thank you.
 

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