the edge length of the unit cell of a metal having molecular mass 75g mol is 5A° which 2 cryatallises in cubic lattice. if the density is 2g/cm3 then find the radius of the metal atom(given NA=6.0×10²³
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Answer:
Explanation:
Theoretical density of crystal is given by ρ=
N
o
a
3
nM
g/cm
3
⇒n=
M
ρN
0
a
3
⇒n=
75
2×6.022×10
23
×(5)
3
×(10
−8
)
3
=2
So, it is body centered cubic (BCC) structure. For BCC, if a is the edge length of the cube and r is the radius of the atom then,
4r=
3
a
⇒r=
4
3
a
=
4
3
×5
A
˚
⇒r=2.165
A
˚
=2.165×10
−8
cm=216 pm
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