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

P at 35 m = atmospheric pressure + increase in pressure
                =1+ 35/10.08 = 4.47 bar

Let number of breadth taken be n

Since T is constant,
P(tank) * V(tank) = n*P(at 35m) * V(inhaled volume at 35m)

300*25=n*4.47*0.45
n = 3729

Answer: 3729

I don't know what sketch it wants though

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