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? O 9.39 x 107 cm O 1.39 x 10 8 cm O 8.02 x 10 7 cm O 2.60 x 10 -9 cm O 1.84 cmx 10-8 O 2.69x 10-8 cm O 2.49 x 109 cm O 1.51 x 10-8 cm

Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
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Chapter9: Liquids, Solids, And Materials
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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 10
-7
cm
O 1.39 x 10 -8 cm
O 8.02 x 10 - cm
O 2.60 x 1o 9 cm
-8
O 1.84 cmx 10
O 2.69 x 10-8
cm
O 2.49 x 1o-9 cm
O 1.51x 10 -8 cm
Next
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 10 -7 cm O 1.39 x 10 -8 cm O 8.02 x 10 - cm O 2.60 x 1o 9 cm -8 O 1.84 cmx 10 O 2.69 x 10-8 cm O 2.49 x 1o-9 cm O 1.51x 10 -8 cm Next
Expert Solution
Step 1

Given: Density of metal = 20.5 g/cm3.

The lattice structure of the metal is FCC.

And the molar mass of metal is 189 g/mol.

 

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