Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133559897
Author: KALPAKJIAN
Publisher: PEARSON
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Chapter 1, Problem 45QTP
To determine
Prove that the radius
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Aluminum forms an FCC structure and has an atomic radius of 0.143 nm. Calculate the theoretical density of the metal in the unit cell. Express your answer up to two decimal places in units g/cm^3
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Copper has a cubic structure with a = 0.36151 nm. The atomic radius is 0.1278 nm. The densityis 8.93 g/cm3, and the atomic mass is 63.55 g/mol. Determine(a) the number of atoms in each unit cell; and(b) the packing factor in the unit cell.
Chapter 1 Solutions
Manufacturing Engineering & Technology
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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- Copper has a cubic structure with a = 0.36151 nm. The atomic radius is 0.1278 nm. The densityis 8.93 g/cm3, and the atomic mass is 63.55 g/mol. Determine (a) the number of atoms in each unit cell; and(b) the packing factor in the unit cell.arrow_forwardLead and Aluminum both have FCC crystal structures. Given the following information and knowing that solid aluminum has a density of 2.71 g/cm3, determine the density of solid lead in g/cm3 Atomic Weight (amu) Atomic Radius (nm) Aluminum 26.98 0.143 Lead 207.2 0.175arrow_forwardRhodium has an atomic radius of 0.1345 nm and a density of 12.41 glcm:. Determine whether it has an FCC or BCC crystal structure.arrow_forward
- Calculate 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_forwardCalculate the radii of the largest void found in an FCC iron lattice in units of [pm] with a lattice parameter of 0.357 nm. The radius of an iron atom is approximately 0.124 nm A) 0.15 B) 10 C) 31 D) 55arrow_forwardDetermine the density of BCC iron, w/c has a lattice parameter of 0.2866 nm.arrow_forward
- The lattice parameter of copper is 0.362 nm, and atomic weight is 63.54 g/mole.Given that copper forms an FCC structure, determine:(i) the volume of the unit cell of copper in cubic centimetres, and(ii) the density of copper in g/cm3.arrow_forwardCalculate the planar density on the (110), and (111) planes in both BCC and FCC structures. a.Which plane has the higher planar density (closest packed plane) in BCC? b.Which plane has the higher planar density (closest packed plane) in FCC?arrow_forwardSketch the planar cross section for the following planes in the FCC structure (label the edge lengths in terms of a and R) and calculate the planar densities for the three planes (do so in terms of both atoms/nm2 AND the dimensionless quantity): a. (001)b. (011)c. (111)arrow_forward
- Lead and aluminum both have FCC crystal structures. Knowing that solid aluminum has a density of 2.71g/cm3, determine density of solid lead in g/cm3.arrow_forwardGallium 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_forwardLead has an FCC crystal lattice and atomic radius of 0.175 nm. Find the volume of the unit cell of lead in m^3. Express answer in exponential notation up to two decimal places using caret ^ to denote the exponents and unit in m^3.arrow_forward
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