EBK MANUFACTURING ENGINEERING & TECHNOL
7th Edition
ISBN: 8220100793431
Author: KALPAKJIAN
Publisher: PEARSON
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Chapter 1, Problem 50QTP
To determine
The atomic radius of iron is
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1. Aluminum has a FCC structure. If the atomic radius of aluminum is 0.143 nm, calculate
the volume of its unit cell in cubic meters.
2. Vanadium (V) has a BCC crystal structure, an atomic radius of 0.132 nm, and an atomic
weight of 50.94 g/mol. Compute and compare its theoretical density with the
experimental value found in the table in Chapter 2.
3. Strontium (Sr) has an FCC crystal structure, an atomic radius of 0.215 nm and an atomic
weight of 87.62 g/mol. Calculate the theoretical density for Sr.
4. Determine the indices for the directions shown in the following cubic unit cell:
For Direction A
+2
A
+y
+x
For Direction B
+2
B
+y
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 nm
Chapter 1 Solutions
EBK MANUFACTURING ENGINEERING & TECHNOL
Ch. 1 - What is the difference between an atom and a...Ch. 1 - Prob. 2RQCh. 1 - Prob. 3RQCh. 1 - Prob. 4RQCh. 1 - Define anisotropy. What is its significance?Ch. 1 - What effects does recrystallization have on the...Ch. 1 - What is strain hardening, and what effects does it...Ch. 1 - Explain what is meant by structure-sensitive and...Ch. 1 - Prob. 9RQCh. 1 - What influence does grain size have on the...
Ch. 1 - What is the relationship between the nucleation...Ch. 1 - What is a slip system, and what is its...Ch. 1 - Explain the difference between recovery and...Ch. 1 - What is hot shortness, and what is its...Ch. 1 - Explain the advantages and limitations of cold,...Ch. 1 - Describe what the orange peel effect is. Explain...Ch. 1 - Some metals, such as lead, do not become stronger...Ch. 1 - Describe the difference between preferred...Ch. 1 - Differentiate between stress relaxation and stress...Ch. 1 - What is twinning? How does it differ from slip?Ch. 1 - Prob. 21QLPCh. 1 - What is the significance of the fact that some...Ch. 1 - Is it possible for two pieces of the same metal to...Ch. 1 - Prob. 24QLPCh. 1 - A cold-worked piece of metal has been...Ch. 1 - What materials and structures can you think of...Ch. 1 - Two parts have been made of the same material, but...Ch. 1 - Do you think it might be important to know whether...Ch. 1 - Explain why the strength of a polycrystalline...Ch. 1 - Describe the technique you would use to reduce the...Ch. 1 - What is the significance of the fact that such...Ch. 1 - Prob. 32QLPCh. 1 - It has been noted that the more a metal has been...Ch. 1 - Is it possible to cold work a metal at...Ch. 1 - Comment on your observations regarding Fig. 1.14.Ch. 1 - Is it possible for a metal to be completely...Ch. 1 - Prob. 37QTPCh. 1 - Prob. 38QTPCh. 1 - Plot the data given in Table 1.1 in terms of...Ch. 1 - A strip of metal is reduced from 30 mm in...Ch. 1 - Prob. 41QTPCh. 1 - How many grains are there on the surface of the...Ch. 1 - Prob. 43QTPCh. 1 - Prob. 44QTPCh. 1 - Prob. 45QTPCh. 1 - A technician determines that the grain size of a...Ch. 1 - If the diameter of the aluminum atom is 0.28 nm,...Ch. 1 - The following data are obtained in tension tests...Ch. 1 - Prob. 50QTPCh. 1 - Prob. 51QTPCh. 1 - Prob. 52QTPCh. 1 - Same as Prob. 1.39, but ASTM no. versus...Ch. 1 - By stretching a thin strip of polished metal, as...Ch. 1 - Draw some analogies to mechanical fiberingfor...Ch. 1 - Draw some analogies to the phenomenon of hot...Ch. 1 - Take a deck of playing cards, place a rubber band...Ch. 1 - Give examples in which anisotropy is scale...Ch. 1 - The movement of an edge dislocation was described...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 1. Aluminum has a FCC structure. If the atomic radius of aluminum is 0.143 nm, calculate the volume of its unit cell in cubic meters. 2. Vanadium (V) has a BCC crystal structure, an atomic radius of 0.132 nm, and an atomic weight of 50.94 g/mol. Compute and compare its theoretical density with the experimental value found in the table in Chapter 2. 3. Strontium (Sr) has an FCC crystal structure, an atomic radius of 0.215 nm and an atomic weight of 87.62 g/mol. Calculate the theoretical density for Sr. 4. Determine the indices for the directions shown in the following cubic unit cell: For Direction A +z A +y +x For Direction B +z 루루 B +yarrow_forwardQuestion-6 Gold has a lattice constant of 0.40788 nm. Calculate a value for the atomic radius of a gold atom in nanometers. Compare this value with the standard atomic radius of gold. Question-7 Calculate the volume in cubic nanometers of the titanium crystal structure unit cell. Lattice constants for titanium at 20°C are a 0.29504 nm and c 0.46833 nm.arrow_forwardRhodium (Rh) has the Face-Centered Cubic (FCC) crystal structure. The atomic radius of Rhodium is r= 0.134 nm at room temperature (20°C). Calculate the edge length "a" of the unit cell Select one: Oa 0.379 Ob.0.428 Oc 0.612 Od0.488 O e. 0.233 The indices for the direction shown in the figure are: 10:13 PM 15-Apr-2021arrow_forward
- Iron has a BCC crystal structure, an atomic radius of 0.124 nm, and an atomic weight of 55.85 g/mol. Compute its theoretical density and compare with its experimental density, which is 7.87 g/cm3. Which one is higher? O Experimental density is higher. O Not enough information to compute the theoretical density. O Theoretical density is higher. O Neither. Both are equal.arrow_forwardYou are given the density of a metal as 2.07 g/cm³. You are advised the crystallographic structure is fcc, and the atomic mass is 25.5 g/mol. What is the atomic radius of the metal? a. 0.15 nm b. 0.12 nm c. 0.11 nm d. 0.18 nmarrow_forward1. Titanium has an atomic radius of 147 pm, an atomic weight of 47.867 g/mol, and an HCP crystal structure. Compute for its true density.arrow_forward
- Consider 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_forwardCompute the density of Zinc, where the atomic radius of Zn=1.453×10-8 and atomic weight =72.4 g/mol and the crystal structure is BCC?arrow_forward3. Beryllium (Be) is an HCP structure with a=0.22858 nm and c=0.35842 nm. The atomic radius is 0.1143 nm, the density is 1.848 g/cm3, and the atomic mass is 9.01 g/mol. In this case, find (a) the number of atoms in the single crystal and (b) the atomic filling rate of the unit crystal.arrow_forward
- Consider 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_forwardCopper has an atomic radius of 0.128 nm, an FCC crystal structure, and an atomic weight of 63.5 (a.m.u).Compute its theoretical density.Then compute the theoretical density if the crystal structure is BCC.arrow_forwardSuppose we introduce one carbon atom for every 100 iron atoms in an interstitial position in BCC iron, giving a lattice parameter of 0.2867 nm. For this steel, find the density and the packing factorarrow_forward
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