My absolute favorite action movie is called The Poseidon Adventure (the 1972 lm, not the 2006 remake) about a group of passengers who try to escape a gigantic capsized ocean liner. This problem is about a much smaller boat that has capsized and trapped a sailor inside it with a fixed amount of air. I'm not sure why but apparently escape is impossble? The sailor is stuck and awaiting rescue.
Question:
My absolute favorite action movie is called The Poseidon
Adventure (the 1972 lm, not the 2006 remake) about a group of passengers who try to escape a gigantic capsized ocean liner. This problem is about a much smaller boat that has capsized and trapped a sailor inside it with a fixed amount of air. I'm not sure why but apparently escape is impossble? The sailor is stuck and awaiting rescue.
(a) What volume of fresh air at atmospheric pressure would someone like the sailor inspire in two days? Assume a breathing rate of 6L air/min (he is trying to stay calm). Give the volume and the length of the side of a cube with that volume.
(b) Let us assume the answer to (a) is the volume of the space in which the sailor is trapped. What fraction of the air would be O2 after two days if it started at a fraction of 20.94%, the sailor continues to breathe at the usual volumetric rate, and consumes a net of 0.28 L O2/min (which takes into account the O2 in expiration) according to the following calculation:
(0.2094 - 0.163) × (6 (L air)/min) = 0:28(L O2)/min
(c) If the trapped air is actually a bubble, recalculate the volume of this bubble after two days. Ignore diusion of air through the water and the solubility of CO2 in water.
(d) When the CO2 level in air increases from the usual 400 ppm to about 5% a person becomes confused and panicked, starts hyperventilating, and eventually loses consciousness. What is the percentage of CO2 in the space after two days?
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