Q. A solid is made of two elements $X$and$Z$. The atoms Z are in $ccp$ arrangement while the atom$\ X$ occupy all the tetrahedral sites. What is the formula of the compound?
A) $XZ$
B) $XZ_{2}$
C) $X_{2}Z$
D) $X_{2}Z_{3}$
Explanation
(c)
Given, $A$ solid has two elements $= X\ and\ Z$
$Z$are in ccp arrangement and $X$ occupy all tetrahedral sites.
Let the number of atoms of $Z$ in ccp arrangement = 100
$\therefore$ Number of atoms of tetrahedral sites = 200
$\therefore$ Number of atoms of $X = 200\ (\because\$They occupy all
tetrahedral sites)
$\therefore$ Ratio of $X\ :Z = 200\ :100$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 2\ :1$
$\therefore$ The formula of compound is $X_{2}Z.$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.