An element with molar mass `2.7xx10^(-2) kg mol^(-1)` forms a cubic unit cell with edge length 405 pm. If its density is `2.7xx10^3 kg m^(-3)`, what is the nature of the cubic unit cell?

Explanation

`a=405pm = 405xx10^(-12)m`
`d= frac{zM}{a^3N} therefore z= frac {da^3N}{M}=4`
Since there are 4 atoms present per unit cell, it is face centred cubic unit cell or cep structure.