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Byju's Answer
Standard XII
Chemistry
Density
An element wi...
Question
An element with density
2.8
g
c
m
−
3
forms a fcc unit cell with edge length
4
×
10
−
8
cm. Calculate the molar mass of the element.
(
G
i
v
e
n
:
N
A
=
6.022
×
10
23
m
o
l
−
1
)
Open in App
Solution
Density,
d
=
2.8
g
/
c
m
3
FCC: No. of atoms in unit cell,
z
=
4
Edge length,
a
=
4
×
10
−
8
c
m
N
A
=
6.022
×
10
23
m
o
l
−
1
Now, using the formula:
d
=
Z
×
M
a
3
×
N
A
Where,
d
=
density
z
=
No. of atoms in unit cell
M
=
molar mass
a
3
=
volume
N
A
=
Avogadro number
⇒
M
=
d
×
a
3
×
N
A
Z
⇒
M
=
2.8
×
(
4
×
10
−
8
)
3
×
6.022
×
10
23
4
⇒
M
=
26.98
g/mol
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0
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