Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Question
Chapter 3.15, Problem 79SEP
(a)
To determine
The values for c and a of the unit cell.
(b)
To determine
The radius of the atom.
(c)
To determine
Does the calculated radius value match with radius of titanium metal?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Calculate the number of vacancies per cubic meter at 1000°C for a metal that has an energy for vacancy formation of 1.22 eV/atom, a density of 6.25 g/cm3, and an atomic weight of 37.4 g/mol.</o:p>
(A) 1.49 ×1018 m−3</o:p>
(B) 7.18 ×1022 m−3</o:p>
(C) 1.49 ×1024 m−3</o:p>
(D) 2.57 ×1024 m−3</o:p>
Vanadium (V) has a BCC crystal structure. The atomic radius is R = 0.132 nm and the atomic mass is M = 50.94 g/mole.
What is the density of Vanadium in g/mm ?
Given:
Avogadro's Number NA = 0.6023 x
1024
(atoms/mole)
Select one:
O a, 0.021
O b. 0.011
Oc.1.5
d. 0.0087
e. 0.00597
Potassium (K) has the Body-Centered Cubic (BC) crystal structune. The edge length is a = 0.533 nm.
What is the linear density in atoms/nm along direction (01112
Select one:
O ENG
O O 0 00
Vanadium (V) has a BCC crystal structure. The atomic radius is R = 0.132 nm and the atomic mass is M = 50.94 g/mole.
What is the density of Vanadium in g/mm3?
Given:
Avogadro’s Number NA = 0.6023 × 1024 (atoms/mole)
Select one:
a. 1.5
b. 0.021
c. 0.011
d. 0.0087
e. 0.00597
Chapter 3 Solutions
Foundations of Materials Science and Engineering
Ch. 3.15 - Prob. 1KCPCh. 3.15 - Prob. 2KCPCh. 3.15 - Prob. 3KCPCh. 3.15 - Prob. 4KCPCh. 3.15 - Prob. 5KCPCh. 3.15 - Prob. 6KCPCh. 3.15 - Prob. 7KCPCh. 3.15 - Prob. 8KCPCh. 3.15 - Prob. 9KCPCh. 3.15 - Prob. 10KCP
Ch. 3.15 - Prob. 11KCPCh. 3.15 - Prob. 12KCPCh. 3.15 - Prob. 13KCPCh. 3.15 - Prob. 14KCPCh. 3.15 - Prob. 15KCPCh. 3.15 - Prob. 16KCPCh. 3.15 - Prob. 17KCPCh. 3.15 - Prob. 18KCPCh. 3.15 - Prob. 19KCPCh. 3.15 - Prob. 20KCPCh. 3.15 - Prob. 21KCPCh. 3.15 - Prob. 22KCPCh. 3.15 - Prob. 23KCPCh. 3.15 - Prob. 24AAPCh. 3.15 - Prob. 25AAPCh. 3.15 - Prob. 26AAPCh. 3.15 - Prob. 27AAPCh. 3.15 - Prob. 28AAPCh. 3.15 - Prob. 29AAPCh. 3.15 - Prob. 30AAPCh. 3.15 - Prob. 31AAPCh. 3.15 - Prob. 33AAPCh. 3.15 - A direction vector passes through a unit cube from...Ch. 3.15 - Prob. 36AAPCh. 3.15 - Prob. 37AAPCh. 3.15 - Prob. 38AAPCh. 3.15 - Prob. 41AAPCh. 3.15 - Prob. 42AAPCh. 3.15 - Prob. 43AAPCh. 3.15 - Prob. 44AAPCh. 3.15 - Prob. 45AAPCh. 3.15 - Prob. 46AAPCh. 3.15 - Prob. 47AAPCh. 3.15 - Rodium is FCC and has a lattice constant a of...Ch. 3.15 - Prob. 49AAPCh. 3.15 - Prob. 50AAPCh. 3.15 - Prob. 51AAPCh. 3.15 - Prob. 52AAPCh. 3.15 - Prob. 53AAPCh. 3.15 - Prob. 54AAPCh. 3.15 - Prob. 55AAPCh. 3.15 - Determine the Miller-Bravais direction indices of...Ch. 3.15 - Determine the Miller-Bravais direction indices of...Ch. 3.15 - Prob. 58AAPCh. 3.15 - Prob. 59AAPCh. 3.15 - Prob. 60AAPCh. 3.15 - Prob. 61AAPCh. 3.15 - Prob. 62AAPCh. 3.15 - Prob. 63AAPCh. 3.15 - Prob. 64AAPCh. 3.15 - Prob. 65AAPCh. 3.15 - Prob. 66AAPCh. 3.15 - Prob. 67AAPCh. 3.15 - Prob. 68AAPCh. 3.15 - Prob. 69AAPCh. 3.15 - Prob. 70AAPCh. 3.15 - Prob. 71AAPCh. 3.15 - Prob. 72AAPCh. 3.15 - Prob. 73AAPCh. 3.15 - Prob. 74SEPCh. 3.15 - Prob. 75SEPCh. 3.15 - Prob. 76SEPCh. 3.15 - Assuming that the volume of an HCP metal cell...Ch. 3.15 - Prob. 79SEPCh. 3.15 - Prob. 80SEPCh. 3.15 - Prob. 81SEPCh. 3.15 - Prob. 82SEPCh. 3.15 - Prob. 83SEPCh. 3.15 - Prob. 84SEPCh. 3.15 - Prob. 85SEPCh. 3.15 - Prob. 86SEPCh. 3.15 - Prob. 87SEPCh. 3.15 - Prob. 88SEPCh. 3.15 - Prob. 89SEPCh. 3.15 - Prob. 90SEPCh. 3.15 - Prob. 91SEPCh. 3.15 - Prob. 92SEPCh. 3.15 - Prob. 93SEPCh. 3.15 - Prob. 94SEPCh. 3.15 - Prob. 95SEPCh. 3.15 - Prob. 96SEP
Knowledge Booster
Similar questions
- A hypothetical metal has the BCC crystal structure, a density of 7.24 g/cm, and an atomic weight of 48.9 g/mol. Please calculate the atomic radius of this metal. Some useful equations are provided below. a= 2R/2 a = 2R3 !! nA VNA O 0.122 nm O 0.567 nm 0.745 nm 1.23 nmarrow_forward1. When Au comes into contact with Ag, it creates a solid solution that is called a substitutional solid solution. Calculate the amount of Au atoms per cubic centimeter in an Ag–Au alloy with 10% Au and 90% Ag. Pure Au has a density of 19.32 g/cm3 and pure Ag has a density of 10.49 g/cm3. 2. What is the atomic radius of nickel (in A) if it follows an FCC crystal structure, given that Nickel has a density of 8.9 g/mL and an atomic weight of 58.7 g/mol. 3. If 25 grains per square inch are measured at 100x magnification, what is the ASTM grain size number of the metal specimen?arrow_forwardBrass is a substitutional solid solution alloy consisting of 66 wt% Cu and 34 wt% Zn. The density of the pure Cu and Zn are 8.96 g/cm³ and 7.13 g/cm³, respectively. Avogadro constant NA 6.022×1023 atoms/mol. The atomic weights of Zn and Cu are 65.38 g/mol and 63.55 g/mol, respectively. Compute the number of Zn atoms per cubic centimeter of brass.arrow_forward
- Consider two hypothetical metallic crystal structures A and B. A has an fcc and Ba bcc lattice structure. Both have the same unit cell volume. The Atomic Packing Factor for A is 0.740 and that for B is 0.680. What is the ratio of the fcc to bcc atomic radii? (This question has only one correct answer) а. 1.21 b. 0.82 O c. 0.92 d. 0.44 е. 0.63arrow_forwardShow that Ni and Cu are totally soluble in one another using Hume-Rothery rules. Atomic radii, electronegativities and crystal structures of Ni and Cu are given below. Ni Cu Crystal Structure FCC FCC Electronegativities 1.9 1.8 r (nm) 0.1246 0.1278arrow_forwardConsider two hypothetical metallic crystal structures A and B. A has an fcc and B a bcc lattice structure. Both have the same unit cell volume. The Atomic Packing Factor for A is 0.740 and that for B is 0.680. What is the ratio of the fcc to bcc atomic radii? (This question has only one correct answer) a. 0.82 b. 0.63 c. 0.92 d. 0.44 e. 1.21 Clear my choicearrow_forward
- O h. 0.74 Silver (Ag) has the FCC crystal structure. The atomic radius is R = 0.144 nm and the atomic mass is M = 107.87 g/mole. What is the density of Silver in g/m? Given: Avogadro's Number NA = 0.6023 x 1024 (atoms/mole) Select one: a. 10.6x106 O b. 10.6×105 O c. 10.6×10 O d. 10.60 O e. 10.6x10 Chromium (Cr) has the Boody-Centered Cubic (BCC) crystal structure. The edge length is a= 0.288 nm. What is the linear density in atoms/nm along direction (111P Select one: 9:12 PM O a. 7.48 O O e 4) A ENG 15-Apr-2021arrow_forwardConsider two hypothetical metallic crystal structures A and b has an fcc and B a bcc lattice structure. Both have the same unit cell volume. The atomic packing factor for a is 0.740 and that for b is 0.680. what is the ratio of the fcc to bcc atomic radii? Select one of the answers below. a. 0.63 b. 0.82 c. 1.21 d. 0.92 e. 0.44arrow_forwardIron (Fe) undergoes an allotropic transformation at 912°C: upon heating from a BCC [ alpha phase) to a FCC (gamma phase). Accompanying thistransformation is a change in the atomic radius of Fe from R bcc= 0.12584 nm to R fcc= 0.12394 nm and, in addition, a change in density.Compute the percentage volume change per atom (Vfinal |-V initial |)/ (V; initial |) associated with this reaction . Indicate whetherthere is an expansion or zontraction taking place during the processarrow_forward
- Zinc crystallizes in HCP structure. Geometrically the height of the unit cell is 43.4378 x10^-8 cm 4.34378x 10^-8 cm 2.1718 x10^-8cm data insufficientarrow_forwardCalculate the fraction of atom sites that are vacant for copper at its melting temperature of 1084degC. assume an energy vacancy formation of 0.90eVlatom. * 6.56 x 10^-5 O 0.9992 O 4.56 x 10^-4 O 2.19 X 10^-4arrow_forwardO f.0.47 g. 0.59 Oh.0.41 Clear my choice Silver (Ag) has the FCC crystal structure. The atomic radius is R = 0.144 nm and the atomic mass is M = 107.87 g/mole. What is the density of Silver in g/m7 Given: Avogadro's Number NA = 0.6023 x 10 (atoms/mole) Select one: Ca 10.6x10 o10.6x10 Cc.10.6-10 Gd.10.6x10 Oe 1060 Calcium (Ca) hashe Face-Certered Cubic (FCC) crystal strucure.The edge length is a = 0.548 nm. What is the linear density in atoms/nm along direction [100]?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY