Problem: Rhodium crystallizes in a face-centered cubic unit cell. The radius of a rhodium atom is 135 pm.Determine the density of rhodium in g/cm3.

FREE Expert Solution

Step 1

mass = 4 atoms1 unit cell×1 mol6.022×1023 atoms×102.91 g1 mol 

mass = 6.8356x10-22 g


Step 2

volume = a3volume = (22·r)3volume =(22 ×135 pm×10-12 m1 pm×1 cm10-2 m)3

volume = 5.5672x10-23 cm3


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Problem Details

Rhodium crystallizes in a face-centered cubic unit cell. The radius of a rhodium atom is 135 pm.
Determine the density of rhodium in g/cm3.

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