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

Options

A. `PQ_3`
B. `P_3Q`
C. `P_2Q_3`
D. `P_3Q_2`

Answer

C

Explanation

Let the number of atoms in cubic close packing be x
`therefore` Numberof tetrahedral voids = 2x
Number of P atoms `=2/3x`
`("Number of P atoms")/("Number of Q atoms")=(2x)/(3x)=2/3`
Therefore, the formula of the compound is `P_2Q_3`.