Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 3.15, Problem 28AAP
To determine
The number of unit cell in the aluminum foil.
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You 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
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Calcium has the Face-Centered Cubic
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below. The atomic radius of calcium is r =
0.197 nm at room temperature (20°C).
Calculate the edge length "a" of the unit
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Select one:
a. None of these
O b. 0.612
O c. 0.488
O d. 0.333
e. 0.557
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
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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
- Rhodium (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: a. 0.612 b. 0.488 c. 0.379 d. 0.233 e. 0.428arrow_forwardCompute planar density for Ca (101) in nm-2. Round your answer to 2 decimal place.arrow_forwardCalculate the linear density of an FCC along (1 1 0) and the theoretical density. 1. Aluminum 2. Calcium 3. Goldarrow_forward
- 3 Copper Unit Cell Uniqueness Here's a weird way to describe the structure of copper: Cu falls into the tetragonal crystal system with a = 0.256 nm, c = 0.362 nm = a√√2, and atoms located at 000 and. Its density is 8.94 g/cc at room temperature. (a) Draw a few adjacent units cells of the structure as described in this "weird" way. You should be able to see that there is a much more convenient way to describe the structure. What is it? (The point I wish to make is that there are many different unit cells that can be used to describe any given crystal, so we usually choose the one that is easiest to visualize.) (b) Calculate the radius of a copper atom using the above information. (c) Calculate the lattice parameter of the "better" unit cell of Cu.arrow_forwardCalculate the atomic mass of the silicon-30 nucleus in amu (to three decimal places) assuming that the mass of a nucleon is 1.008 amu and the binding energy per nucleon is 1.326×10⁻¹² J/nucleon. (1 kg = 6.022×10²⁶ amu) and What is the binding energy (in kJ/mol) for Ag-107? The mass of a hydrogen atom is 1.00783 amu, the mass of a neutron is 1.00867 amu, and the atomic mass of this isotope is 106.90509 amu.arrow_forward.. Find the fraction of the body centered cubic unit cell volume filled with hard spheres as shown in figure below if the total volume of cell (cubic) is 343 cm.arrow_forward
- Calculate the packing efficiency of a body centered cubic structure. Round your answer to 2 decimal places.arrow_forwardQ1 a) If the atomic radius of aluminum is 0.143 nm, calculate the volume of its unit cell in cubic meters. b) Compute the linear density of the [100] direction for FCC. Calculate the planar density of the (110) plane for BCC.arrow_forwardNickel (Ni) has the Face-Centered Cubic (FCC) crystal structure shown in the figure below. The radius of the nickel atom is r= 0.125 nm. What is the planar density in atoms/nm2 in plane (110)? Select one: O a. 12.06 O b. 24.11 O c. 16.19 O d. 11.31 O e. 8.52arrow_forward
- A cube of aluminum has a mass of 200 grams and its temperature rises from 15.0 °C to 28.5 °C when placed outside in the sun for a period of time. Calculate the amount of heat absorbed. (Specific Heat: CAL = 0.921 J/g°C) Your Answer: Answer unitsarrow_forwardTable 19.1 Thermal Properties for a Variety of Materials Material Cp (J/kg-K) a [(°C) ¹ x 10-67b Metals Aluminum Copper Gold Iron Nickel Silver Tungsten 900 386 128 448 443 235 138 23.6 17.0 14.2 11.8 13.3 19.7 4.5 k (W/m-K) 247 398 315 80 90 428 178 L[Q-W/(K)² x 10-8] 2.20 2.25 2.50 2.71 2.08 2.13 3.20arrow_forwardAluminum has a radius of 0.25 nm. Calculate the volume of its unit cell in cubic meter Aluminum has an FCC structurearrow_forward
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