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  4. Atoms of element X form hcp lattice and those of element Y occupy (2/3) of its tetrahedral voids. The percentage of element X in the lattice is (Nearest integer)

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Q. Atoms of element $X$ form hcp lattice and those of element $Y$ occupy $\frac{2}{3}$ of its tetrahedral voids. The percentage of element $X$ in the lattice is ____ (Nearest integer)

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Solution:

$X \rightarrow 6 \,\,\, Y \rightarrow \frac{2}{3} \times 2 \times 6=8$
$\% X =\frac{6}{14} \times 100=42.8 \simeq 43 \%$