There is a maximum depth at which a diver can breathe through a snorkel tube ( F

Question

There is a maximum depth at which a diver can breathe through a snorkel tube (Figure 1) because as the depth increases, so does the pressure difference, tending to collapse the diver's lungs. Since the snorkel connects the air in the lungs to the atmosphere at the surface, the pressure inside the lungs is atmospheric pressure.

Part A

What is the external-internal pressure difference when the diver's lungs are at a depth of h = 5.5m (about 18ft )? Assume that the diver is in fresh water. (A scuba diver breathing from compressed air tanks can operate at greater depths than can a snorkeler, since the pressure of the air inside the scuba diver's lungs increases to match the external pressure of the water.)

Express your answer using two significant figures

__________________ Pa

Please show the steps! Thank you!!

Explanation / Answer

P2-P1 = rho*g*h = 1000*9.8*5.5 = 53900 Pa

rho is density of fresh water =1000 kg/m3

g= 9.8m/s^2
and h = 5.5m

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