JEE Main 2022 · 24 Jun · Shift 1 · Chemistry Q81

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ChemistryInteger+4 / -1Question 81 of 90

Atoms of element X form hcp lattice and those of element Y occupy $\dfrac23$ of its tetrahedral voids. The percentage of element X in the lattice is ______. (Nearest integer)

Your answer

Answer and worked solution

Official answer: 43

Voids. For $N$ atoms of X in hcp there are $2N$ tetrahedral voids.

Y atoms. $\frac23\times2N=\frac{4N}3$ , so X : Y $=3:4$ .

Percentage of X. $\frac37\times100\approx42.9$ , nearest integer 43.

Answer: 43

Topics:Crystal lattices and unit cells

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JEE Main 2022 · 24 Jun · Shift 1, Chemistry question 81