Physics for Scientists and Engineers
Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 17, Problem 56P
To determine

The volume of the bubble before it breaks the surface.

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A container which is air tight has a volume of * 2 * 500L internal pressure of 1.0 atmosphere, internal temperature of 15 °C is washed off ythe deck of a ship located in the Philippine Trench, and sinks to a depth where the pressure is 175 atmosphere and the temperature is 3 °C. What would be the volume in m³ of the gas inside be when the container breaks under the pressure at this depth?
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A diver is at 5 meter depth in a fresh water lake. At that depth, the temperature is 15◦C. The pressure in the water at a depth d is given by p(d) = psurface + ρgd, where ρ is the liquid density, and g = 9.81m s−2is the gravitational constant.(a) The diver releases an air bubble of 1cm diameter. What is the diameter of the bubble when it reaches the surface where the temperature is 20◦C?Assume that the bubble temperature is always the same as the surroundingwater.(b) The diver stayed 1h at a 5m depth. The pressure in the diving tank went down from 250 bars to 50 bars. We assume that the volume of the lungs is 5L. Assuming that the water temperature is also 15◦C, how long could the diver have stayed underwater at 20m depth using the same amount of air?(c) The diver is at 5m depth and decides to surface. The air in the lungs is at a constant temperature of 37◦C. What fraction of the air in her/his lungs should the diver inhale/release to maintain a constant lung volume?

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