SiC crystal has the following arrangement. If covalent radius of Si and C are 1.2 Å and 0.8 Å respectively then density of SiC crystal will be Use : \sqrt{3} = 1.73 , Atomic Mass Si = 28, C = 12, NA = 6 ×1023

Engineering

Chemistry

Ionic Solids and Crystal Structure

Question

SiC crystal has the following arrangement.

If covalent radius of Si and C are 1.2 Å and 0.8 Å respectively then density of SiC crystal will be
Use : $\sqrt{3} = 1.73$ , Atomic Mass Si = 28, C = 12, N_A = 6 ×10²³

$\frac{173}{32} g / mL$

$\frac{173}{128} g / mL$

$\frac{173}{64} g / mL$

$\frac{173}{16} g / mL$

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$\frac{\sqrt{3} a}{4}$ = r_Si + r_C = 2Å
a = $\frac{2 \times 4}{\sqrt{3}}$ Å
density = $\frac{4 \times 40 g}{6 \times 10^{23} \times {(\frac{2 \times 4}{\sqrt{3}} \times 10^{- 8} cm)}^{3}}$
$= \frac{4 \times 40 g}{\frac{6 \times 10^{23} \times 10^{- 24} \times 8 \times 64}{3 \times 1 .73}}$

$= \frac{173}{64} g / mL$