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)

Question

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) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

X arrow 6 Y arrow (2/3) × 2 × 6=8 % X =(6/14) × 100=42.8 ≃ 43 %

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)

$X \to 6 Y \to \frac{2}{3} \times 2 \times 6 = 8$
$% X = \frac{6}{14} \times 100 = 42.8 ≃ 43%$

Q. Atoms of element X form hcp lattice and those of element Y occupy 32​ of its tetrahedral voids. The percentage of element X in the lattice is ____ (Nearest integer)

X→6Y→32​×2×6=8 %X=146​×100=42.8≃43%

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)

$X \to 6 Y \to \frac{2}{3} \times 2 \times 6 = 8$
$% X = \frac{6}{14} \times 100 = 42.8 ≃ 43%$