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# A compound is formed by two elements X and Y. The atoms of element X form hcp lattice and those of element Y occupy $\large\frac{1}{4}^{th}$ of the tetrahedral voids. What is the formula of the compound formed?

$\begin{array}{1 1}(A)\;X_2Y&(B)\;X_3Y\\(C)\;XY&(D)\;\text{None of these}\end{array}$

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## 1 Answer

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It is known that the number of tetrahedral voids formed is equal to twice the number of atoms of element X.
It is given that only $\large\frac{1}{4}^{th}$ of the tetrahedral voids are occupied by the atoms of element Y.
Therefore, ratio of the number of atoms of X and Y =$1.2\times \large\frac{1}{4}$$=2 : 1$
Hence, the formula of the compound formed is $X_2Y$
Hence (A) is the correct answer.
answered May 28, 2014