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Snorkelers breathe through tubes that extend above the surface of the water. In prin- ciple, a snorkeler could go deeper with a longer tube, but the extra pressure at the greater depth would make breathing too difficult. If a snorkeler can develop a pressure in her lungs that is 10 kPa below the pressure outside her body, what is the longest snorkel she could use in the ocean?

Respuesta :

Answer:

h = 1.02 m

Explanation:

This is a fluid mechanics exercise, where the pressure is given by

       P = [tex]P_{atm}[/tex] + ρ g h

The gauge pressure is

      P - [tex]P_{atm}[/tex]  = ρ g h

In this case the upper part of the tube we have the atmospheric pressure. and the diver can exert a pressure 10 KPa below the outside pressure, this must be the gauge pressure

     [tex]P_{m}[/tex] =    P - [tex]P_{atm}[/tex]

     [tex]P_{m}[/tex] = ρ g h

     h =[tex]P_{m}[/tex] / ρ g

calculate

     h = 10 103 / (1000 9.8)

     h = 1.02 m

This is the depth at which man can breathe

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