The largest bottle ever made by blowing glass has a volume of about 0.720 m3. Imagine that this bottle is filled with air that behaves as an ideal diatomic gas. The bottle is held with its opening at the bottom and rapidly submerged into the ocean. No air escapes or mixes with the water. No energy is exchanged with the ocean by heat.
(a) If the final volume of the air is 0.240 m3, by what factor does the internal energy of the air increase?
(b) If the bottle is submerged so that the air temperature doubles, how much volume is occupied by air?