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kadi2jasofiedi
kadi2jasofiedi kadi2jasofiedi
  • 06-08-2016
  • Physics
Answered

The atomic radius of metal X is 1.20 × 102 picometers (pm) and a crystal of metal X has a unit cell that is face-centered cubic. Calculate the density of metal X (atomic weight = 42.3 g/mol).

Verified Answer :

meerkat18
meerkat18 meerkat18
  • 10-08-2016

The density of the metal can be determined through the formula [nMW]/ Na[a^3] . substituting, we get, 

d = [nMW]/ Na[a^3] 
d = [4 atoms42.3 g/mol]/ [6.022 x 1023atoms/mol (sqrt 8 *1.20x10-10)^3] 
d = 0.719 g/cm3

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