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?
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