   Chapter 10, Problem 39P

Chapter
Section
Textbook Problem

An air bubble has a volume of 1.50 cm3 when it is released by a submarine 1.00 × 102 m below the surface of a lake. What is the volume of the bubble when it reaches the surface? Assume the temperature and the number of air molecules in the bubble remain constant during its ascent.

To determine
The volume of the bubble when it reaches the surface ( V2 ).

Explanation

Given Info: The initial volume of the bubble is V1=1.50cm3 . The depth is h=1.00×102m .

At constant temperature,

V2V1=P2P1 (I)

• P1 is the atmospheric pressure.
• P2 is the pressure at depth ‘h’.

The formula to calculate the pressure at depth ‘h’ is,

P2=P1+hρg (II)

• ρ is the density of water.
• g is the acceleration due to gravity.

From Equations (I) and (II),

V2=V1(1+hρgP1)

Substitute 1.50cm3 for V1 , 1.00×102m for h, 1000kgm3 for ρ , 9

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 