A primitive diving bell consists of a cylindrical tank with one end open and one end closed. The tank is lowered into a freshwater lake, open end downward. Water rises into the tank, compressing the trapped air, whose temperature remains constant during the descent. The tank is brought to a halt when the distance between the surface of the water in the tank and the surface of the lake is 16.9 m. Atmospheric pressure at the surface of the lake is 1.01 x 105?Pa. Find the fraction of the tank's volume that is filled with air.
Pressure at the surface of the water in the tank = atmospheric pressure + water pressure
= 101105 + ?gh = 101105 + (1000 x 10 x 23.1) = 332105 Pa
Pressure at the water level in the tank is equal...
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