Question

A solid is formed by 2 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 ______.

विकल्प

• PQ₃

• P₃Q

• P₂Q₃

• P₃Q₂

Answer 1

A solid is formed by 2 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 P₂Q₃.

Explanation:

Let the number of atoms in cubic close packing = x

∴ Number of tetrahedral voids = 2x

Since, Q forms cubic close packing, the number of Q atoms = x; P occupy one-third of tetrahedral voids, the number of P atoms = `2/3`x

`"Number of P atoms"/"Number of Q atoms" = (2x)/(3x) = 2/3`

Therefore the formula of the compound is P₂Q₃.