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Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 18 / Problem 14E

Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford

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Answer: A diver observes a bubble of air rising from the

Chapter 18, Problem 14E

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QUESTION:

Problem 14E

A diver observes a bubble of air rising from the bottom of a lake (where the absolute pressure is 3.50 atm) to the surface (where the pressure is 1.00 atm). The temperature at the bottom is 4.0o C, and the temperature at the surface is 23.0o C. (a) What is the ratio of the volume of the bubble as it reaches the surface to its volume at the bottom? (b) Would it be safe for the diver to hold his breath while ascending from the bottom of the lake to the surface? Why or why not?

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QUESTION:

Problem 14E

A diver observes a bubble of air rising from the bottom of a lake (where the absolute pressure is 3.50 atm) to the surface (where the pressure is 1.00 atm). The temperature at the bottom is 4.0o C, and the temperature at the surface is 23.0o C. (a) What is the ratio of the volume of the bubble as it reaches the surface to its volume at the bottom? (b) Would it be safe for the diver to hold his breath while ascending from the bottom of the lake to the surface? Why or why not?

ANSWER:

Solution 14E

Assume the number of moles of gas in the bubble remains constant.

${T}_{1}=277\ K$

${T}_{2}=296\ K$

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