A hypothetical metal forms a fcc unit cell, has a radius of 115 pm, and a molar mass of 89.0 g/mol. What is the density of this metal in (g/cm³)?

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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A hypothetical metal forms a fcc unit cell, has a radius of 115 pm, and a molar mass
of 89.0 g/mol. What is the density of this metal in (g/cm³)?
Your Answer:
Transcribed Image Text:A hypothetical metal forms a fcc unit cell, has a radius of 115 pm, and a molar mass of 89.0 g/mol. What is the density of this metal in (g/cm³)? Your Answer:
Expert Solution
Step 1: Given :

The parameters are given ;

Given space that space the space radius space left parenthesis straight r right parenthesis space is space 115 space pm comma
molar space mass space of space space metal space equals space 89.0 space straight g divided by mol
Avagadro space number space Na space equals space 6.023 space straight x space 10 to the power of 23 space space divided by mol
Number space of space unit space cell space in space FCC space equals space 4

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