A compound formed by two elements `M` and `N`. Element `N` forms ccp and atoms of `M` occupy `1//3rd` of tetrahedral voids. What is the formula of th compound?

Options

A. `MN_(3)`
B. `M_(3)N`
C. `M_(3)N_(2)`
D. `M_(2)N_(3)`

Answer

D

Explanation

To solve such problems follow the following steps
Setp I: Find the number of tetrahedral voids as number of tetrahedral voids `=2xx` number of atoms present in the lattice.
Setp II: Calculate the number of atoms(or ratio ) of elements M and N as a chemical formula represents the number of atoms of different elements present in a compound. Derive the formula .
Suppose atoms of element N present in ccp = x
Then number of tetrahedral voids `=2xx`
Since `(1)/(3)` rd of the tetrahedral voids are occupied
by atoms of element M.
Therefore, number of atoms of element
`M=(1)/(3)xx2x xx(2x)/(3)`
Ratio of `M:N=(2x)/(3):x=2:3`