Solution Found!

Engineering and Tech / Fluid Mechanics 2 / Chapter 2 / Problem 42P

Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala

Change Question

The density of seawater at a free surface where the

Chapter 2, Problem 42P

(choose chapter or problem)

Get Unlimited Answers

QUESTION:

Problem 42P

The density of seawater at a free surface where the pressure is 98 kPa is approximately 1030 kg/m3. Taking the bulk modulus of elasticity of seawater to be 2.34 × 109 N/m2and expressing variation of pressure with depthz asdP=ρg dz determine the density and pressure at a depjh of 2500 m. Disregard the effect of temperature.

Questions & Answers

QUESTION:

Problem 42P

The density of seawater at a free surface where the pressure is 98 kPa is approximately 1030 kg/m3. Taking the bulk modulus of elasticity of seawater to be 2.34 × 109 N/m2and expressing variation of pressure with depthz asdP=ρg dz determine the density and pressure at a depjh of 2500 m. Disregard the effect of temperature.

ANSWER:

Solution 42P

We are given the density and pressure of seawater at the surface. We are required to calculate the same quantities of seawater at the depth of 2500 m.

Step 1

We are given that pressure varies with depth as $dP=\rho{}gdz$ .,..(1), where $\rho{}$ is the density of seawater, $g$ is the acceleration due to gravity and $dz$ is the change in depth.

Given, $\rho{}=1030\ kg/{m}^{3}$

$P{\ }_{s}=98\ kPa=98000\ Pa$

$dz=2500\ m$

$g=9.8\ m/{s}^{2}$

Substituting the values in equation (1),

$dP=1030\ kg/{m}^{3}\times{}9.80\ m/{s}^{2}\times{}2500\ m=2.52\times{}1{0}^{7}\ N/{m}^{2}=2.52\times{}1{0}^{7}\ Pa$

Therefore, the pressure at the depth of 2500 m is $2.52\times{}1{0}^{7}\ Pa$ .

Study Tools You Might Need

Chapter: 1 Problem: 13E

Statistics for Engineers and Scientists 4
Refer to Exercise 12. a. If the measurements for one of the methods were converted to inches (1 inch = 2.54 cm), how would this affect the mean? The median? The quartiles? The standard deviation? b. If the students remeasured the ball, using a ruler marked in inches, would the effects on the mean, me

Chapter: 14 Problem: 5

College Physics 1
Problem 5PE Rubbing your hands together warms them by converting work into thermal energy. If a woman rubs her hands back and forth for a total of 20 rubs, at a distance of 7.50 cm per rub, and with an average frictional force of 40.0 N, what is the temperature increase? The mass of tissues warmed

Chapter: 16 Problem: 16.55

Organic Chemistry 2
Propose the structure of a compound that exhibits the following 1 H NMR data: (a) C5H10O 1.09 d (6H, doublet) 2.12 d (3H, singlet) 2.58 d (1H, septet) (b) C5H12O 0.91 d (3H, triplet) 1.19 d (6H, singlet) 1.50 d (2H, quartet) 2.24 d (1H, singlet) (c) C4H10O 0.90 d (6H, doublet) 1.76 d (1H, multiplet)

Chapter: 4 Problem: 80

Chemistry: A Molecular Approach 3
Write balanced complete ionic and net ionic equations for each reaction. a. K2SO4(aq) + CaI2(aq) S CaSO4(s) + KI(aq) b. NH4Cl(aq) + NaOH(aq) S H2O(l) + NH3(g) + NaCl(aq) c. AgNO3(aq) + NaCl(aq) S AgCl(s) + NaNO3(aq) d. HC2H3O2(aq) + K2CO3(aq) S H2O(l) + CO2(g) + KC2H3O2(aq)

Chapter: 14 Problem: 1

Biology 2e by Openstax
Figure 14.10 In eukaryotic cells, DNA and RNA synthesis occur in a separate compartment from protein synthesis. In prokaryotic cells, both processes occur together. What advantages might there be to separating the processes? What advantages might there be to having them occur together?

Chapter: 14 Problem: 9

Biology: The Unity and Diversity of Life 15
Mutations in the genes for clotting factor VIII and IX cause hemophilia A and B, respectively. A woman may be heterozygous for mutations in both genes, with a mutated factor VIII allele on one X chromosome, and a mutated factor IX allele on the other. All of her sons should have either hemophilia A o

Chapter: 1 Problem: 5

Principles of Economics 9
International trade benefits a nation when a. its revenue from selling abroad exceeds its outlays from buying abroad. b. its trading partners experience reduced economic well-being. c. all nations are specializing in producing what they do best. d. no domestic jobs are lost because of trade.

Chapter: 21 Problem: 1

Principles of Economics 9
Homer buys pizza for $10 and Pepsi for $2. He has income of $100. His budget constraint will shift inward if a. the price of pizza rises to $12. b. the price of Pepsi falls to $1. c. his income rises to $150. d. the price of pizza, the price of Pepsi, and his income all rise by 50 percent.

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