A solid is formed by two elements P and Q. The element Q forms cubic close packing and atoms of P occupy two-third of tetrahedral voids. The formula of the compound is

Options

A. `PQ_(3)`
B. `P_(3) Q`
C. `P_(2)Q_(3)`
D. `P_(3)Q_(2)`

Answer

C

Explanation

Let the no. of Q atoms = n
No. of tetrahedral voids = 2n
No. of P atoms `=2n xx ( 1)/( 3) = ( 2n )/( 3)`
Formula `: P : Q `
`( 2n )/( 3) : n ` or `2:3 ` `:. P _(2) Q_(3)`