Solution Found!

Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 11 / Problem 35E

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

Change Question

Solved: A specimen of oil having an initial volume of 600

Chapter 11, Problem 35E

(choose chapter or problem)

Get Unlimited Answers

QUESTION:

Problem 35E

A specimen of oil having an initial volume of 600 cm3 is subjected to a pressure increase of 3.6 X 106 Pa, and the volume is found to decrease by 0.45 cm3. What is the bulk modulus of the material? The compressibility?

Questions & Answers

QUESTION:

Problem 35E

A specimen of oil having an initial volume of 600 cm3 is subjected to a pressure increase of 3.6 X 106 Pa, and the volume is found to decrease by 0.45 cm3. What is the bulk modulus of the material? The compressibility?

ANSWER:

Solution 35E

When Hooke’s law is obeyed, an increase in pressure (bulk stress) produces a proportional bulk strain (fractional change in volume). The corresponding elastic modulus (ratio of stress to strain) is called the bulk modulus, denoted by B.

B = $\frac{Bulk\ stress}{Bulk\ strain}$ = $\frac{-\Delta{}p}{\Delta{}V/{V}_{o}}$

Where $\Delta{}p$ = Change in the pressure from ${po}_{\ }$ to ${p}_{o}$ + $\Delta{}p$

$\frac{\Delta{}V}{{V}_{o}}$ = The ratio of volume change $\Delta{}V$ to the original volume ${V}_{o}$

Step 1 of 2:

The bulk modulus of the material is given by

B = $\frac{-\ 3.6\times{}{10}^{6}}{0.45/600}$

= $\frac{-(\ 3.6\times{}{10}^{6})\times{}600}{0.45}$

= 4.8 $\times{}{10}^{9}$ Pa

Study Tools You Might Need

Chapter: 2 Problem: 2.19

Classical Mechanics 0
Consider the projectile of Section 2.3. (a) Assuming there is no air resistance, write down the position (x, y) as a function of t, and eliminate t to give the trajectory y as a function of x. (b) The correct trajectory, including a linear drag force, is given by (2.37). Show that this reduces to you

Chapter: Problem: 1

Principles of Microeconomics 7
Describe some of the trade-offs faced by each of the following: a. a family deciding whether to buy a new car b. a member of Congress deciding how much to spend on national parks c. a company president deciding whether to open a new factory d. a professor deciding how much to prepare for classe.a rec

Chapter: 4 Problem: 2

Elementary Statistics: A Step by Step Approach 8th ed. 8
Determine whether these events are mutually exclusive. a. Roll a die: Get an even number, and get a number less than 3. No b. Roll a die: Get a prime number (2, 3, 5), and get an odd number. No c. Roll a die: Get a number greater than 3, and get a number less than 3. Yes d. Select a student in your c

Chapter: 4 Problem: 2

Campbell Biology 10
Which functional group is not present in this molecule? a. carboxyl b. sulfhydryl c. hydroxyl d. amino

Chapter: 18 Problem: 4

Biology: The Dynamic Science 5
What is a stem cell? What does potency mean in respect to a stem cell?

Chapter: 6 Problem: 6

Urban Economics 8
Opportunity Cost and Offi ce Bid-Rent Curve Using Table 64 and Figure 63 as a starting point, suppose the opportunity cost of travel by offi ce workers increases by 25 percent. a. At a distance of fi ve blocks, travel cost 5 ; the willingness to pay for land 5 ; the bid rent per hectare 5 . b. Draw t

Chapter: 11 Problem: 5

Advanced Engineering Mathematics 10
Find the trigonometric polynomial F(x) of the form (2) for which the square error with respect to the given f(x) on the interval \(-\pi<x<\pi\) is minimum. Compute the minimum value for \(N=1,2, \cdots, 5\) (or also for larger values if you have a CAS). \(f(x)=\left\{\begin{array}{rlr}-1 & \text {

Chapter: 8 Problem: 8.31

Chemistry for today : general, organic, and biochemistry 9
A reaction is started by mixing reactants. As time passes, the rate decreases. Explain this behavior that is characteristic of most reactions.

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

×

Register

Sign up for access to all content on our site!

Or login if you already have an account