The cubic unit cell of a metal (molar mass=63.55 g `mol^(-1)`) has an edge length of 362 pm. Its density is 8.92 g `cm^(-3)`. The type of unit cell is

Options

A. primitive
B. face centered
C. body centered
D. end centered

Answer

B

Explanation

`rho=(zM)/(N_(A)V)`
`z=(rhoN_(A)V)/(M)=(8.92xx6.02xx10^(23)xx(362)^(3)xx10^(-3))/(63.55)`
=4
`therefore` it has fcc unit cell.