First slide

Ionic solids

Question

When heated above 916°C, iron changes its bcc crystalline form to fcc without the change in the radius of atom. The ratio density of the crystal before heating and after heating is

Moderate

A

1.069
B

0.918
C

0.725
D

1.231

Solution

$\begin{array}{l} ρ_{1} = \frac{2 \times 56}{{(\frac{4 r}{\sqrt{3}})}^{3}}; ρ_{2} = \frac{4 \times 56}{(2 \sqrt{2} r)^{3}} \\ \frac{ρ_{1}}{ρ_{2}} \Rightarrow 0 .918 \end{array}$

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