An element with molar mass 27`g*mol^(-1)` froms a cubic unit cell with edge length `4.05xx10^(-8)cm`. If its density is 2.7`g*cm^(-3)`, what is the nature of the cubic unit cell?

Explanation

Knowing the value of Z, number of particles per unit cell, we can predict the nature of the unit cell. We have,
`Z=(rhoxxNxxa^(3))/M`
putting the values of `rho`, N, a and M in the equation gives
`Z=(2.7xx6.022xx10^(23)xx(4.05xx10^(-8))^(3))/27=4`
The value of Z indicates a fcc unit cell.