The density of chromium metal is 7.0 g cm 3 . If the unit cell is cubic with edge length of 289 pm . Calculate the number of atoms per unit cell.
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Explanation:
The expression for density is as follows:
Density =d=
a
3
×N
A
n×M
GIven: d=7.2 g cm
−3
a=289 pm =289×10
−10
cm
Molecular weight of Cr =52 g mol
−1
n=
M
d×a
3
×N
A =
52
7.2×(289×10
−10
)
3
×6.023×10
23
n=
52
7.2×2.41×10
−23
×6.023×10
23
n=
52
7.2×2.41×6.023
=2
Since there are 2 Cr atoms in a unit cell, Cr crystallizes in bcc unit cell
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