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 1.39 x 10 -8 cm 8.02 x 10 cm 2.60 x 10 -9 cm 1.84 cm x 108 2.69 x 108 cm 2.49 x 10 9 cm 1.51 x 10° cm O O O O

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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?
O 9.39 x 10 7 cm
1.39 x 10 8 cm
8.02 x 10 7 cm
2.60 x 10 -9 cm
1.84 cm x 108
2.69 x 10 8 cm
2.49 x 10 9 cm
1.51 x 10 8 cm
O O O
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? O 9.39 x 10 7 cm 1.39 x 10 8 cm 8.02 x 10 7 cm 2.60 x 10 -9 cm 1.84 cm x 108 2.69 x 10 8 cm 2.49 x 10 9 cm 1.51 x 10 8 cm O O O
Expert Solution
Step 1 : Given

For the FCC cubic, 

Density = 20.5 g/cm3

Molar mass = 189 g/mol

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