A (made-up) metal has a face-centered cubic crystal structure. Its density is 20.5 g/cm 3. Its molar mass is 189 g/mol. What is the radius of an atom of the metal? 9.39 x 107 cm 1.39 x 10 8 cm 14 8.02 x 107 cm 2.60 x 10 -9 cm 15 -8 1.84 cm x 10 16 2.69 x 10 8 cm 2.49 x 10-9 cm 17 1.51x 10-8 cm 0 0 0 O OOO0
A (made-up) metal has a face-centered cubic crystal structure. Its density is 20.5 g/cm 3. Its molar mass is 189 g/mol. What is the radius of an atom of the metal? 9.39 x 107 cm 1.39 x 10 8 cm 14 8.02 x 107 cm 2.60 x 10 -9 cm 15 -8 1.84 cm x 10 16 2.69 x 10 8 cm 2.49 x 10-9 cm 17 1.51x 10-8 cm 0 0 0 O OOO0
Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter9: Liquids, Solids, And Materials
Section: Chapter Questions
Problem 101QRT
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![A (made-up) metal has a face-centered cubiC crystal structure. Its density is 20.5 g/cm 3. Its molar mass is 189 g/mol. What is the radius of an atom of the metal?
9.39 x 107 cm
1.39 x 10-8 cm
14
8.02 x 107 cm
2.60 x 10-9 cm
15
-8
1.84 cm x 10
16
2.69 x 10 8 cm
2.49 x 10-9 cm
17
1.51 x 10 8 cm
0 0 0 O OO0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa6b2e32-1c4f-4588-b8e9-89de5a3b7da9%2F43020958-800f-4ca8-bc56-ec169b320e77%2F3mt0cfb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A (made-up) metal has a face-centered cubiC crystal structure. Its density is 20.5 g/cm 3. Its molar mass is 189 g/mol. What is the radius of an atom of the metal?
9.39 x 107 cm
1.39 x 10-8 cm
14
8.02 x 107 cm
2.60 x 10-9 cm
15
-8
1.84 cm x 10
16
2.69 x 10 8 cm
2.49 x 10-9 cm
17
1.51 x 10 8 cm
0 0 0 O OO0
Expert Solution
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Step 1
Given,
Structure: FCC (Face centred cubic lattice)
Density (d) = 20.5 g/cm3
Molar mass of metal = 189 g/mol
Radius of an atom of the metal (r) = ?
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