Free Diving: Lung Volume at Different Depths

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The discussion focuses on calculating lung volume at various depths during free diving, starting with a lung capacity of 5 liters at the surface. As the diver descends, water pressure increases, affecting lung volume according to the ideal gas law and hydrostatic pressure principles. At 5, 10, 20, and 100 meters, the lung volume will decrease due to increased pressure, assuming no gas exchange occurs. Participants emphasize the importance of understanding which gas laws apply to this scenario, rather than providing direct answers. The conversation highlights the relationship between pressure, volume, and depth in free diving.
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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?
 
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I need this answer within a half an hour
 
Water pressure as below the water surface P = \rhog 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?
 

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