Question

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

• A. $Y_2Z_3$
• B. $YZ$
• C. $YZ_3$
• D. $Y_2Z$

Answer 1

Answer: (A)

$Y_2Z_3$

Answer 2

Suppose no. of atoms of $Z=a$ No. of tetrahedral voids $= 2a$ No. of atoms of $Y=\frac{1}{3}\times2a=\frac{2a}{3}$ Ratio of atoms of $y$ and $Z =\frac{2a}{3} : a=2 : 3$ Hence, the formula of the compound $= Y_2Z_3$