Percentage change in interior volume

AI Thread Summary
Deep sea fish are subjected to high atmospheric pressure, particularly at depths like 2000 m, where pressure is approximately 200 times that of sea level. The discussion revolves around calculating the percentage change in the interior volume of a hollow iron spherical shell, akin to a submarine, under this pressure. The formula used is delta V/Vo, which relates the change in volume to the change in pressure and the bulk modulus of the material. A participant calculated a 0.02% change but found it incorrect, prompting a request for clarification on calculations and whether the change is positive or negative. Accurate calculations and understanding of the bulk modulus are essential for determining the correct percentage change in volume.
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Homework Statement



Deep sea fish experience a tremendous amount of atmospheric pressure.

When you are at a depth of 2000 m in the sea, the pressure that you will experience is about 200 times atmospheric pressure (1atm=1.0×105N/m2)which you will experience on land.

If you are lowering a hollow iron spherical shell, imagine a spherical submarine, then by how much does the volume of the interior of this shell change at this depth? Express the ratio in terms of percentange change in interior volume.

Express your answer to two significant figures and include the appropriate units

delta V/Vo

Homework Equations



The Attempt at a Solution


I know DeltaV/Vo is equal to change in pressure over bulk mod, and change in pressure is 200 atm/Biron. I get 0.02% but that doesn't work.[/B]
 
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Show you calculations. Is the percentage change in volume positive or negative?
 
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