A typical diver inhales 0.450L of air per breath and carries a 25L breathing tan

Question

A typical diver inhales 0.450L of air per breath and carries a 25L breathing tank containing air at a pressure of 300 bar. As she dives deeper, the pressure increases by 1 bar for every 10.08 m. How many breaths can the diver take from this tank at a depth of 35 m? Assume the temperature remains constant and atmospheric pressure is 1 bar. Hint: assume the diver’s lungs (exhale) experience a pressure equal to the atmosphere plus the water. ( Each question must start with a sketch of the physical system/process you are working with and show all work)

the answer should be 3700

Explanation / Answer

V35m = Vsurface x P surface / P35m

= (25L x 300 bar ) / 1 + (35 m/10.8)

= 1.768 x 103

V35m/Vbreath = 1.768 x 103 / 0.45 = 3.54 x 103

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