Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133559897
Author: KALPAKJIAN
Publisher: PEARSON
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Chapter 1, Problem 44QTP
To determine
Show that the lattice constant
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Calculate the number of vacancies per cubic meter for some metal, M, at 811°C. The energy for vacancy formation is 0.89 eV/atom, while the density and atomic weight for this metal are 6.96 g/cm3 (at 811°C) and 55.72 g/mol, respectively.
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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- Prof that the relation between atomic radius and lattice constant for FCC is a- 4r/V3 ? Question #3/ The atomic weight 207.2 (g/mol), crystal structure FCC, and atomic radius 0.175 nm, compute the theoretical densities of leadarrow_forwardCalculate the number of vacancies per cubic meter for some metal, M, at 806°C. The energy for vacancy formation is 0.88 eV/atom, while the density and atomic weight for this metal are 5.24 g/cm^ (at 806°C) and 44.02 g/mol, respectively.arrow_forwardThe 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_forward
- How many vacancies per cubic centimeter are there in gold, at ambienttemperature, assuming a lattice parameter of 0.408 nm? Gv = 1.4 × 10−19.arrow_forwardNickel has the fcc crystal structure and a lattice parameter of a = 0.3517 nm. Using this information, determine the atomic radius of Ni in angstroms.arrow_forwardA paper clip has a mass of 10.75 grams and is made of gold. (FCC, R = 0.1442 nm), calculate: a) The number of unit cells in the sample volume. b) The number of atoms contained in the volume of the sample.arrow_forward
- 3. BCC Li has a lattice parameter, ao, of 0.35089 nm and contains 1 vacancy per 300 unit cells at 200 C.a) Calculate the number of vacancies/cubic centimeterb) For the number of vacancies given in the problem statement (i.e. 1 vacancy per 300 units cells), determine the corresponding density of the Li sample.arrow_forwardIn an ideal hexagonal closed packed system, if the atomic radius of the atom was 0.112 nm, write down the three digit value of the lattice parameter c in nm unitarrow_forwarddiscuss how the crystal structure effect mechanical and electrical and physical and thermal propertiesarrow_forward
- Calculate the surface density of the lattice atoms that lie on the (100) plane of an FCC crystal??? Please solve it quickly by handwrittenarrow_forwardDetermine the Miller indices of the cubic crystal plane that intersects the following position coordinates(points): (1, ½, 1), (½, 0, ¾), and (1, 0, ½). Sketch the plane, and show all steps and distances.arrow_forwardIn lattice structure explain why their properties differ so greatly even though they are both lattice structure.arrow_forward
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