The bends during flight. Anyone who scuba dives is advised not to fly within the next 24 h because the air mixture for diving can introduce nitrogen to the bloodstream. Without allowing the nitrogen to come out of solution slowly, any sudden air-pressure reduction (such as during airplane ascent) can result in the nitrogen forming bubbles in the blood, creating the bends, which can be painful and even fatal. Military special operation forces are especially at risk. What is the magnitude of the change in pressure on such a special-op soldier who must scuba dive at a depth of 19 m in seawater one day and parachute at an altitude of 7.5 km the next day? Assume that the average air density within the altitude range is 0.84 kg/m3.

Question
Asked Nov 25, 2019
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The bends during flight. Anyone who scuba dives is advised not to fly within the next 24 h because the air mixture for diving can introduce nitrogen to the bloodstream. Without allowing the nitrogen to come out of solution slowly, any sudden air-pressure reduction (such as during airplane ascent) can result in the nitrogen forming bubbles in the blood, creating the bends, which can be painful and even fatal. Military special operation forces are especially at risk. What is the magnitude of the change in pressure on such a special-op soldier who must scuba dive at a depth of 19 m in seawater one day and parachute at an altitude of 7.5 km the next day? Assume that the average air density within the altitude range is 0.84 kg/m3.

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Step 1

Let P1 be the pressure at the depth h1 inside the sea and P2 be the pressure at an altitude h2 from the sea level and P0 denotes the atmospheric pressure on the surface of the sea.

Step 2

Write the expression for pressure by considering the pressure decrease...

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