A solid is made of two elements X and Z. The atoms Z are in ccp arrangement while atoms X occupy all the tetrahedral sites. What is the formula of the compound ?

Question

A solid is made of two elements X and Z. The atoms Z are in ccp arrangement while atoms X occupy all the tetrahedral sites. What is the formula of the compound ? (A) XZ (B) XZ2 (C) X2Z (D) Unpredictable

Tardigrade Admin · Accepted Answer

Let the number of atoms Z in the CCP arrangement = 100 Thus the number of tetrahedral sites = 200 Since all the tetrahedral sites are occupied by atoms X, the number of atoms X = 200 Hence ratio of X: Z = 2: 1 Thus the formula is X2Z

Q. A solid is made of two elements $X$ and $Z$ . The atoms $Z$ are in $cc p$ arrangement while atoms $X$ occupy all the tetrahedral sites. What is the formula of the compound ?

$XZ$

$X Z_{2}$

$X_{2} Z$

Unpredictable

Let the number of atoms $Z$ in the CCP arrangement = $100$
Thus the number of tetrahedral sites = $200$
Since all the tetrahedral sites are occupied by atoms $X$ , the number of atoms $X = 200$
Hence ratio of $X : Z = 2 : 1$
Thus the formula is $X_{2} Z$

Q. A solid is made of two elements X and Z. The atoms Z are in ccp arrangement while atoms X occupy all the tetrahedral sites. What is the formula of the compound ?

XZ

XZ2​

X2​Z