Boyle’s Law in the Movie “Men of Honor”

I do not watch many movies and the ones I do see tend to be older. Over the Christmas holiday, I watched the movie “Men of Honor” and I noticed that Boyle’s law was mentioned. Here is the Boyle’s law quote from the movie:

Boyle’s Law describes the behavior of gases under varying amounts of atmospheric pressure. It states that if a diver holds his breath at one hundred feet, continues holding while rising to ten feet, then the gases in his lungs increase four times. Now why is this important to a diver? Forget to exhale on the way up, and your lungs explode.

I heard the quote and I did a quick calculation in my head. It seemed like this statement was not quite correct.

After the movie, I did a more serious calculation. Figure 1 shows my work. My answer was that the lung volume will increase by a factor of three, not four. I know I am being picky, but it seems like the movie folks could get a a little detail like this correct.

Figure 1: Boyle’s Law Calculations.

Many thanks to the Curious ChemEng for looking at my work. I could not believe the movie got this wrong and I asked him to check me. He also suggested a plausible way they got the wrong answer.