Free Diving: Lung Volume at Different Depths

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A free diver gets ready to dive into the water. She fills her lungs to capacity (5L) at the surface (normal atmospheric pressure≈105Pa)She then jumps into the water. Assuming no exchange of gas with the blood vessels, what will be her lung volume at 5, 10, 20, and 100 meters?
 
Water pressure as below the water surface P = [itex]\rho[/itex]g h

ideal gas law PV = nRT or a variation of it.

solve for V
 
We do not hand out answers here. Do you know which of the gas laws apply?