The following video will introduce you to Boyle's Law and how it predicts how much a gas will be compressed depending on pressure. Be sure to watch what happens to the gas in the container as the diver descends and ascends. The captions in the video will tell you how this relates to Boyle's law.
Source: Boyle's Law, MarineBiologyChannel, YouTube
Now imagine a diver descending 20 meters (about 66 feet). The diver breathes air from the tank and holds her breath as she ascends. What would happen to the air in her lungs? What would happen to her lungs if she continues to hold her breath?
Watch the following video to find out what would happen to her lungs.
Source: Boyles Law Balloon -Diver's lungs.flv, georectifiied, YouTube
In the video the decrease in pressure around the balloon makes the gas in the balloon expand to the point that it pops. The same thing would happen to the diver if she holds her breath.