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Cubic unit cells: packing efficiency and density
JEE Main level
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Difficulty 2 of 3
ss063
A cubic ionic solid of formula mass
58.5
g
mo
l
−
1
has edge length
564
pm
and density
2.16
g
c
m
−
3
. Using
N
A
=
6.022
×
1
0
23
mo
l
−
1
, the number of formula units per unit cell is
A
1
B
2
C
8
D
4
Answer: D
Z
=
M
ρ
N
A
a
3
=
58.5
2.16
×
6.022
×
1
0
23
×
(
5.64
×
1
0
−
8
)
3
=
3.99
≈
4
.
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