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Question

At 100oC, copper (Cu) has FCC unit cell structure with cell edge length of x˚A. What is the approximate density of Cu (in g.cm3) at this temperature?
[Atomic mass of Cu=63.55u]

A
105x3
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B
211x3
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C
205x3
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D
422x3
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Solution

The correct option is D 422x3
Density expression for unit cell,

Density, d=Z×Ma3×NA
where,
d= density of the unit cell
M= Molar mass of the molecule
a3= volume of the unit cell
NA= Avogadro number

Here, for FCC unit cell, Z=4

Subsituting the values we get,

Density, d=4×63.556.02×1023×x3×1024g/cm3 Note: [1˚A=108cm]

d=63.55×4×106.02×x3g/cm3

d=422.26x3(422x3)

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