Question

An element (atomic mass 100 g/mol) having bcc structure has unit cell edge 400 pm Then density of the element is

• A. 10.376 $g/c{m}^3$
• B. 5.188 $g/c{m}^3$
• C. 7.289 $g/c{m}^3$
• D. 2.144 $g/c{m}^3$

Answer 1

The correct option is B 5.188 $g/c{m}^3$

$d=\frac{z\times M}{a^3\times N_A}=\frac{2\times 100}{(400\times {10}^{-12}{)}^3\times (6.023\times {10}^{23})}=5.188g/cm$