A typical diver inhales 0.450 liters of air per breath and carries a breathing t

Question

A typical diver inhales 0.450 liters of air per breath and carries a breathing tank that contains 25 L of air at a pressure of 300 bar As she dives deeper, the pressure increases by 1 bar every 10.08 m. How many breaths can the diver take from this tank at a depth of 32 m? Assume that the temperature remains constant. Express you answer using two significant figures. Which of the following statements about the potential of the standard hydrogen electrode is true? The absolute potential of the standard hydrogen electrode is zero. The absolute potential of the standard hydrogen electrode cannot be determined.

Explanation / Answer

Use Boyle's Law, P1V1 = P2V2.

P1 and V1, 300 bar and 25.0 L. Then P2 at zero depth and atmospheric pressure is 1.01 bar:
P2 = 1.01 bar + (32 m) (1 bar / 10.08 m) = 4.18 bar.
V2 = ((300 bar)*(25.0 L)) / (4.18 bar) = 1,794 L
The number of breaths is:
= (1,794 L) / (0.450 L/breath) = 3986.6 breaths.

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