She went SCUBA diving, NOT skin diving!
Skin diving you do not breathe air at high pressure when submerged and are therefore not in danger of blowing your lungs up upon ascent.
You did not say how deep.
surface pressure = 10^5 Pascals
pressure at depth = rho g d
= 1025*9.81*depth in meters
P1V1 = P2 V2
V1/V2 = P2/P1
The air expands during ascent as the pressure goes down. Lungs blow up, called "air embolism" by divers.
YOU MUST breathe out while ascending. Navy submarine escape training requires ascending in test tank yelling HO HO HO so instructor is sure trainee is breathing out.
Lucy is going skin diving to see coral off the coast of Mexico in sea water with a density of 1025 kg/m^3.
If she were to hold her breath as she ascends to the waters surface a)by how many times would the volume of her lungs change assuming the water temperature remain constant? b)would her lungs be crushed or would they blow up like a balloon? c)What is the best way to ascend after diving?
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By the way, for pressure submerged add the surface pressure to the pressure due to water depth.
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