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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 1.51x 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
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
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
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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