Solid StateHard

Question

If the radius of a metal atom is 2.00 (Ao) and its crystal structure in cubic close packed (fcc lattice), what is the volume (in cm3) of one unit cell ?

Options

A.8.00 × 10-24
B.1.60 × 10-23
C.1.80 × 10-22
D.2.26 × 10-23

Solution

a = 2√2 r
∴ v = a3 = 16√2r3 =  16 ×  √a ×(2 × 10-8)3 = 1.8 × 10-22  cm3

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