Solid State Question 92

Question: When heated above $ 916{}^\circ C, $ iron changes its bcc crystalline form to fcc without the change in the radius of atom. The ratio of the density of the crystal before heating and after heating is:

Options:

A) 1.069

B) 0.918

C) 0.725

D) 1.231

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ {\rho_1}=\frac{2\times 56}{{{( 4r/\sqrt{3} )}^{3}}};{\rho_2}=\frac{4\times 56}{{{( 2\sqrt{2r} )}^{3}}} $

$ \frac{{\rho_1}}{{\rho_2}}=0.918 $