Effects of pressure on an air bubble

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SUMMARY

The discussion focuses on the effects of pressure on an air bubble originating from a scuba diver at a depth of 18.0 meters with an initial diameter of 1.0 cm. The key principle involved is Boyle's Law, which states that the pressure and volume of a gas are inversely related when temperature is constant. As the bubble ascends to the surface, the external pressure decreases, causing the bubble's diameter to increase. The final diameter can be calculated using the formula P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.

PREREQUISITES
  • Understanding of Boyle's Law and gas laws
  • Basic knowledge of pressure measurement in fluids
  • Familiarity with scuba diving physics
  • Ability to perform calculations involving volume and pressure
NEXT STEPS
  • Study Boyle's Law in detail to understand gas behavior under pressure changes
  • Learn about pressure calculations in fluid dynamics
  • Explore the relationship between temperature and gas volume
  • Investigate the effects of depth on pressure in scuba diving scenarios
USEFUL FOR

Students studying physics, scuba divers interested in understanding buoyancy and pressure effects, and educators teaching gas laws and fluid dynamics.

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Homework Statement



an air bubble originating from a scuba diver at a depth of 18.0m has a diameter of 1.0cm. What will be the bubble's diameter when it reaches the surface?
assume constant temperature

Homework Equations



I'm not sure what equation to use for this...



The Attempt at a Solution



I know that an increase in pressure should have an effect on the size of the air bubble. But I don't know where to start.
 
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What is the pressure inside the bubbles? What is pressure outside the bubbles? Are they the same? Different? How does the pressure inside the bubbles relate to bubble size? Given a set number of molecules in the bubble, will a higher pressure bubble have a smaller volume or a larger volume?

Answer those questions and you will have your answer.
 

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