Density of a unit cell is respresented as
`rho = (" Effective no. of atoms (s)" xx "Mass of a unit cell ")/("Volume of a unit cell ")=(Z.M)/(N_(A).a^(3))`
where , mass of unit cell =mass of effectuive no . of atoms(s) or ion (s).
M= At . mass// formula
`N_(A) `= Avogadro' s no . `rArr 6.0323 xx 10^(23)`
a= edge lemght of unit cell
An element crystallizes in a structure having fcc unit cell of an edge 200 pm . Calculate the density , if 100 g of this element contains `12xx10^(23)` atoms :

Options

A. `41.66 g //cm^(3)`
B. `4.166 g// cm^(3)`
C. `10.25 g // cm^(3)`
D. `1.025 g // cm^(3)`

Answer

A