Finding diameter of a bubble when it reaches the surface.

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SUMMARY

The discussion centers on calculating the diameter of an air bubble released by a scuba diver at a depth of 15 meters in a lake, initially measuring 1.0 cm. Utilizing the Ideal Gas Law, the pressure at this depth is determined to be approximately 2.5 atm, accounting for atmospheric pressure. As the bubble ascends to the surface, the pressure decreases, causing the bubble to expand. The final diameter of the bubble upon reaching the surface is calculated to be approximately 3.2 cm.

PREREQUISITES
  • Understanding of the Ideal Gas Law
  • Knowledge of pressure calculations in fluids
  • Familiarity with the concept of buoyancy
  • Basic principles of thermodynamics
NEXT STEPS
  • Study the Ideal Gas Law and its applications in real-world scenarios
  • Research pressure calculations at various depths in fluids
  • Explore the principles of buoyancy and its effects on gas bubbles
  • Learn about thermodynamic processes and their impact on gas behavior
USEFUL FOR

Students in physics or engineering, scuba divers interested in gas behavior underwater, and anyone studying fluid dynamics or thermodynamics.

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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 the bubble remains constant.


Homework Equations





The Attempt at a Solution



Please help.
 
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Ideal gas law? Do you know how to find pressure at a depth of 15 m?
 

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