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When you swim underwater, the pressure of the water ushes against your chest cav

ID: 549364 • Letter: W

Question

When you swim underwater, the pressure of the water ushes against your chest cavity and subsequently reduces the size of your lungs. For every 10 m below the water surface, the pressure exerted by the water adds 14.7 psi to atmospheric pressure so 10 m below the surface would have a total pressure of 29.4 psi. If a swimmer has a lung volume of 6 L at sea level (atmo- spheric pressure), what would the volume of he lungs be when she is at the bottom of a pool that is 5 m deep? 7. 14 7. 5I at 72 °F.

Explanation / Answer

10 m = 14.7 psi

V1 = 6 L

V2 =?

P1 = 14.7 psi

P2 = 14.7 + 5/10*14.7 =22.05 psi

apply ideal gas law

P1V1 = P2V2

14.7*6 = 22.05 *V2

V2 = 14.7*6/22.05

V2 =4  L

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