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Standard XII
Chemistry
Density
An element cr...
Question
An element crystallizes in a f.c.c. lattice with a cell edge of 250 pm. Calculate the density, if 300 g of this element contain
2
×
10
24
atoms.
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Solution
Formula of density of the unit cell:
d
=
z
M
a
3
N
A
where,
z
=
number of particles present per unit cell
=
4
M
=
Molecular mass
=
300
2
×
10
24
×
6.023
×
10
23
=
90.34
g
,
N
A
=
Avogadro’s number
=
6.023
×
10
23
a
=
Edge length
=
250
p
m
=
2.5
×
10
−
8
c
m
.
Now, substituting the values we get,
d
=
4
×
90.34
(
2.5
)
3
×
10
−
24
×
6.023
×
10
23
=
38.4
g
/
c
m
3
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1
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