Question

A submarine has run into trouble and is stuck at the bottom of the ocean. Several people are on board and must make their way to the surface without any diving gear. The air pressure aboard the submarine is 3.04 atm. The air temperature inside the submarine is 12.1 ¢XC and you can take body temperature (inside the lungs) to be 36.11 ¢XC
(a) The first person to leave takes a breath as deep as possible by exhaling as far as possible (leaving a volume of 1.12 L in their lungs), and then slowly inhaling to increase their lung volume by 4.61 L
This person, unwisely, holds their breath all the way to the surface. What would the volume of their lungs be (if they didn't burst)? [For interest, note that human lung capacities range from 4 to 6 L]