Q19 / 150 · MHT CET 2016 · Chemistry

In a face centred cubic unit cell, what is the volume occupied?

A
$\frac{4}{3} π r^{3}$
B
$\frac{8}{3} π r^{3}$
Correct answer
C
$\frac{16}{3} π r^{3}$
D
$\frac{64 r^{3}}{3 \sqrt{3}}$

Solution

Number of atoms per unit cell in FCC

= 4

So volume occupied by FCC unit cell

= 4 \times \frac{4}{3} π r^{3}

= \frac{16}{3} π r^{3}

Hence, the correct answer is option: 'C'.

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