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

Options

A. 2.144 g/`cm^(3)`
B. 5.188 g/`cm^(3)`
C. 7.289 g/`cm^(3)`
D. 10.376 g/`cm^(3)`

Answer

B

Explanation

`rho=(ZxxM_(w))/(N_(A)xx(V))=(2xx100)/(6xx10^(23)xx(400xx10^(-10))^(3))` = 5.188 g/`cm^(3)`