Boyle's Law: Calculating Balloon Size at Surface After 40 m Descent

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SUMMARY

The discussion centers on calculating the size of a toy balloon released by a diver at a depth of 40 meters in fresh water, utilizing Boyle's Law (P1V1 = P2V2). The initial pressure (P1) at 40 meters is established as 4 atm, while the pressure at the surface (P2) is 1 atm. The balloon's initial volume (V1) is 10 cm³. By applying Boyle's Law, users can determine the final volume (V2) of the balloon when it reaches the surface.

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  • Understanding of Boyle's Law and gas laws in physics
  • Basic knowledge of pressure measurements in atmospheres
  • Familiarity with volume calculations in cubic centimeters
  • Ability to manipulate algebraic equations
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This discussion is beneficial for physics students, divers, educators teaching gas laws, and anyone interested in the practical applications of Boyle's Law in fluid dynamics.

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Homework Statement


A diver dives to a depth of 40 m in fresh water where he releases a toy balloon of volume 10 cm^3. What will be the size of the balloon when it reaches the surface? (The pressure increass at a rate of 1 atmosphere for every 10 m descent in fresh water)


Homework Equations



P1V1=P2V2



The Attempt at a Solution



P1= 4 atm
V1= 10 cm^3
P2= ?
V1=?

I just don't know how to find the pressure when it reaches the surface... what would the pressure be?
Thankyou:)

Kind regards
 
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The pressure at the surface of the water is the outside pressure, which you can probably assume to be 1 atm. So, more or less by definition of the unit "atmosphere", P2 = 1 atm.
You might want to check your value for P1, however.
 
thankyou very much:) that makes sense:)
 

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