# 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 17 m in seawater one day and parachute at an altitude of 7.3 km the next day? Assume that the average air density within the altitude range is 0.87 kg/m3.

Question
Asked Nov 22, 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 17 m in seawater one day and parachute at an altitude of 7.3 km the next day? Assume that the average air density within the altitude range is 0.87 kg/m3.

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Step 1

Let P1 be the pressure on one day, P2 be the pressure on the next day, P0 be the atmospheric pressure and rho be the air density.

Write the expression for pre...

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