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Question: When heated above 916ŗC, iron changes its bcc crystalline form to fcc without the change in the radi...

When heated above 916ŗC, iron changes its bcc crystalline form to fcc without the change in the radius of atom. The ratio of density of the crystal before heating and after heating is [At . wt. Fe = 56]

A

1.069

B

0.918

C

0.725

D

1.231

Answer

0.918

Explanation

Solution

r1 = 2×56(4r3)3\frac{2 \times 56}{\left( \frac{4r}{\sqrt{3}} \right)^{3}}

r2 = 4×56(22r)3\frac{4 \times 56}{\left( 2\sqrt{2}r \right)^{3}} \ ρ1ρ2\frac{\rho_{1}}{\rho_{2}} = 0.918