When the U.S. submarine Squalus became disabled at adepth of 54.6 m, a cylindrical chamber was lowered from a ship torescue the crew. The chamber had a radius of 2.71 m and a height of2.35 m, was open at the bottom, and held two rescuers. It slidalong a guide cable that a diver had attached to a hatch on thesubmarine. Once it reached the hatch and clamped to the hull, thecrew could escape into the chamber. During the descent, air wasreleased from tanks to prevent water from flooding the chamber.Assume the interior air pressure matched the water pressure atdepth h as given by p=p0+Ïâ¢gâ¢h, where p0 = 1.00 atm is thesurface pressure and Ï= 1040 kg/m3 is the density ofseawater. Assume a surface temperature of 24.0 ËšC and a submergedwater temperature of -21.1 ËšC. (a) What is the airvolume in the chamber at the surface? (b) If airhad not been released from the tanks, what would have been the airvolume in the chamber at depth h = 54.6 m? Assume that h is a depthof water surface inside the chamber below the sea level.(c) How many moles of air were needed to bereleased to maintain the original air volume in the chamber?
