Density & Pressure: Is Buoyancy Constant at 2atm or Deeper?

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SUMMARY

This discussion centers on the relationship between buoyancy, density, and pressure at a depth of 2 atm (approximately 33 feet underwater). It establishes that if a one cubic foot balloon is compressed to half its volume at this pressure, its density doubles. The inquiry further explores whether the density of water at this depth also doubles, questioning the constancy of buoyancy under increased pressure. The conclusion drawn is that while the balloon's density increases, the density of water does not double, thus buoyancy is not constant at 2 atm or deeper.

PREREQUISITES
  • Understanding of buoyancy principles
  • Knowledge of density and its relationship with mass and volume
  • Familiarity with pressure concepts, particularly in fluid mechanics
  • Basic grasp of the ideal gas law and its implications in varying pressure conditions
NEXT STEPS
  • Research the effects of pressure on gas density using the Ideal Gas Law
  • Explore Archimedes' Principle and its application in varying fluid densities
  • Study the behavior of gases under compression in different atmospheric conditions
  • Investigate the relationship between pressure, volume, and density in fluids
USEFUL FOR

Students studying physics, particularly those focusing on fluid mechanics, as well as educators and professionals interested in the principles of buoyancy and density in varying pressure environments.

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Homework Statement



If a one cubic foot balloon is reduced to half the volume at 2atm or 33ft of water and is two times as dense, Is water at that depth also two times as dense making bouyancy constant at 2atm or even deeper?

Homework Equations





The Attempt at a Solution

 
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6MDM said:

Homework Statement



If a one cubic foot balloon is reduced to half the volume at 2atm or 33ft of water and is two times as dense, Is water at that depth also two times as dense making bouyancy constant at 2atm or even deeper?
What is density in terms of mass and volume?

Is a certain mass of water at that depth compressed to 1/2 of the volume that it occupies at the surface?

AM
 

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