Anyone who scuba dives is advised not to fly within the next 24 hbecause the air

Question

Anyone who scuba dives is advised not to fly within the next 24 hbecause the air mixture for diving can introduce nitrogen into thebloodstream. Without allowing the nitrogen to come out of solutionslowly, any sudden air-pressure reduction (such as during airplaneascent) 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 isthe change in pressure on such a special-op soldier who must scubadive at a depth of 23 m in seawater oneday and parachute at an altitude of 7.6 kmthe next day? Assume that the average air density within thealtitude range is 0.87 kg/m3.

Explanation / Answer

Pressure at depth   h    is P1 = Po +seawater*g*h Now pressure at altitude h' is P2 = Po  -air*g*h' Now the change in pressure P1 -P2 = ( Po +seawater*g*h ) - (Po  -air*g*h')                                                   P1-P2        =seawater*g*h + air*g*h'   ------(1) seawater = 1030kg/m3 air = 0.87 kg/m3 h = 21m h'= 8.2km = 8200 m g = 9.8m/s2 Plug the values in the equation (1) and solve for the pressuredifference . Plug the values in the equation (1) and solve for the pressuredifference .

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