Question

A compound is formed by two elements Y and Z. The elements Z forms ccp and atoms Y occupy 1/3 rd of tetrahedral voids. The formula of the compound is

• A. $Y_{2}Z_{3}$
• B. YZ
• C. $YZ_{3}$
• D. $Y_{2}Z$

Answer 1

Answer: (A)

$Y_{2}Z_{3}$

Answer 2

Suppose no. of atoms of Z = a

No. of tetrahedral voids = 2a

No. of atoms of $Y = \frac{1}{3} \times 2a = \frac{2a}{3}$

Ratio of atoms of Y and Z

$= \frac{2a}{3}:a = 2:3$

Hence, the formula of the compound $= Y_{2}Z_{3}$