Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 4.8, Problem 49SEP
To determine
The chemical formula for an intermetallics compound of Cu and Al is
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Use the atomic radii of scandium, yttrium, lanthanum, and lutetium to answer the questions below.a. Explain why lutetium has a smaller atomic radius than lanthanum, eventhough it has a greater number of electrons.b. Do the atomic radii argue for the placement of La or Lu below Y in the periodic table? Explain.
1. 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?
Au and Ag form a substitutional solid solution. This means that the crystal structure of an Au-Ag alloy consists of Ag atoms substituting for Au atoms in the regular atomic positions of the FCC structure. For an Au-50 wt% Ag alloy, what fraction of the atomic sites does Ni occupy? NA=6.022e23
A.
None of the mentioned/ Geen van die genoemde
B.
32.31%
C.
50%
D.
64.61%
Chapter 4 Solutions
Foundations of Materials Science and Engineering
Ch. 4.8 - Prob. 1KCPCh. 4.8 - Define the homogeneous nucleation process for the...Ch. 4.8 - In the solidification of a pure metal, what are...Ch. 4.8 - In the solidification of a metal, what is the...Ch. 4.8 - During solidification, how does the degree of...Ch. 4.8 - Distinguish between homogeneous and heterogeneous...Ch. 4.8 - Describe the grain structure of a metal ingot that...Ch. 4.8 - Distinguish between equiaxed and columnar grains...Ch. 4.8 - How can the grain size of a cast ingot be refined?...Ch. 4.8 - Prob. 10KCP
Ch. 4.8 - Prob. 11KCPCh. 4.8 - Prob. 12KCPCh. 4.8 - Distinguish between a substitutional solid...Ch. 4.8 - What are the conditions that are favorable for...Ch. 4.8 - Prob. 15KCPCh. 4.8 - Prob. 16KCPCh. 4.8 - Prob. 17KCPCh. 4.8 - Prob. 18KCPCh. 4.8 - Describe the structure of a grain boundary. Why...Ch. 4.8 - Describe and illustrate the following planar...Ch. 4.8 - Prob. 21KCPCh. 4.8 - Describe the optical metallography technique. What...Ch. 4.8 - Prob. 23KCPCh. 4.8 - Prob. 24KCPCh. 4.8 - Prob. 25KCPCh. 4.8 - Prob. 26KCPCh. 4.8 - Prob. 27KCPCh. 4.8 - Prob. 28KCPCh. 4.8 - Prob. 29KCPCh. 4.8 - Prob. 30KCPCh. 4.8 - Prob. 31KCPCh. 4.8 - Calculate the size (radius) of the critically...Ch. 4.8 - Prob. 33AAPCh. 4.8 - Prob. 34AAPCh. 4.8 - Calculate the number of atoms in a critically...Ch. 4.8 - Prob. 36AAPCh. 4.8 - Prob. 37AAPCh. 4.8 - Prob. 38AAPCh. 4.8 - Prob. 39AAPCh. 4.8 - Prob. 40AAPCh. 4.8 - Prob. 41AAPCh. 4.8 - Prob. 42AAPCh. 4.8 - Determine, by counting, the ASTM grain-size number...Ch. 4.8 - Prob. 44AAPCh. 4.8 - For the grain structure in Problem 4.43, estimate...Ch. 4.8 - Prob. 46AAPCh. 4.8 - Prob. 47SEPCh. 4.8 - Prob. 48SEPCh. 4.8 - Prob. 49SEPCh. 4.8 - Prob. 50SEPCh. 4.8 - In Chapter 3 (Example Problem 3.11), we calculated...Ch. 4.8 - Prob. 52SEPCh. 4.8 - Prob. 53SEPCh. 4.8 - Prob. 54SEPCh. 4.8 - Prob. 55SEPCh. 4.8 - Prob. 56SEPCh. 4.8 - Prob. 57SEPCh. 4.8 - Prob. 58SEPCh. 4.8 - Prob. 59SEPCh. 4.8 - Prob. 60SEPCh. 4.8 - Prob. 61SEPCh. 4.8 - Prob. 62SEPCh. 4.8 - Prob. 63SEPCh. 4.8 - Prob. 64SEPCh. 4.8 - Prob. 65SEPCh. 4.8 - Prob. 66SEP
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- Gallium has an orthorhombic structure,with a0 5 0.45258 nm, b0 5 0.45186 nm,and c0 5 0.76570 nm. The atomic radiusis 0.1218 nm. The density is 5.904 g/cm3,and the atomic weight is 69.72 g/mol.Determine(a) the number of atoms in each unit cell;and(b) the packing factor in the unit cell.arrow_forwardCalculate the number of vacancies per cubic meter in iron at 880 °C. The energy for vacancy formation is 1.08 eV/atom. The density and atomic weight for Fe are 7.65 g/cm3 and 55.85 g/mol, respectively. Express your result in exponential form with 1 decimal place.arrow_forward14- Which of the following is constant during Atomic Packing Factor (APF) calculation a. All of the above b. Volume of an atom c. Number of effective atoms per unit cell d. Volume of unit cellarrow_forward
- A metal has a radius of 0.139 nm, and a planar density of 9.1494588942931 nm-2 in the (110) plane. What is the crystal structure of the material? a. HCP with atomic radius 0.139 nm b. BCC with atomic radius 0.139 nm c. FCC with atomic radius 0.139 nm d. Something else; atomic radius 0.139 nmarrow_forward1. Calculate the number of iron atoms in a 1000kg of iron. 2. Calculate the volume in a cubic centi meters occupied by one mole of boron.arrow_forwardIndium has a tetragonal structure, witha0 5 0.32517 nm and c0 5 0.49459 nm.The density is 7.286 g/cm3, and the atomicweight is 114.82 g/mol. Does indium havethe simple tetragonal or body-centeredtetragonal structure?arrow_forward
- Assume we have to accommodate 18 million books, each of which has 1 billion characters. If each character can be written using 100atoms, and if the bulk atoms can be used, calculate the size of an object (in nanometers) that can accommodate all the 18 million books. Assume one atom occupies a space which is 0.25 nm in sizearrow_forwardCompute for the composition, in atom percent, of an alloy that consists of 92.5 wt% Ag and 7.5 wt% CuWrite Legiblyarrow_forwardThe unit cell for nickel arsenide is shown below. What is the formula of this compound?arrow_forward
- The density of a sample of HCP beryllium is 1.844 g/cm 3 , and the lattice parameters are a 0 = 0.22858 nm and c 0 = 0.35842 nm. Calculate (a) the fraction of the lattice points that contains vacancies: and (b) the total number of vacancies in a cubic centimetre of Bearrow_forwardProve that the directional indices of plane [u v w] is perpendicular to miller indices (h k l).arrow_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
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