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Topic: Boyle's Law question  (Read 8444 times)

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Offline tanne

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Boyle's Law question
« on: October 30, 2010, 10:39:07 PM »
I'm stuck on this problem:

A scuba diver creates a spherical bubble with a radius of 2.0 cm at a depth of 30.0 m where the total pressure (including atmospheric pressure) is 4.00 atm .

What is the radius of the bubble when it reaches the surface of the water? (Assume atmospheric pressure to be 1.00 atm and the temperature to be 298 K.)

I'm using the equation for the volume of a sphere: V = 4/3*pi*r3

V = 4/3*pi*(2.0cm)3

V = 33.51cm3

   = 0.03351L

And since P1V1 = P2V2...I've solved for V2...

(4.00atm)(0.0335L) = (1.00atm)(V2)

0.134 = V2

Now here is where things go all wrong.

When I use this in the volume equation I get r=0.3175 but this is wrong. Any ideas?

Thanks!




Offline opti384

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Re: Boyle's Law question
« Reply #1 on: October 30, 2010, 10:58:58 PM »
Maybe you could have mistaken the units.

Offline tanne

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Re: Boyle's Law question
« Reply #2 on: October 30, 2010, 11:09:34 PM »
The units need to be cm...I'm kind of lost on what units I ended up with.

Offline opti384

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Re: Boyle's Law question
« Reply #3 on: October 30, 2010, 11:12:35 PM »
Convert 0.134L to cm3 and then calculate the radius.

Offline tanne

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Re: Boyle's Law question
« Reply #4 on: October 30, 2010, 11:19:54 PM »
Yep. That's it. Thank you!

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