JEE Main · 2023 · 06 Apr 2023 · Shift 1 · Solid State

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A compound is formed by two elements X and Y. The element Y forms cubic close packed arrangement and those of element X occupy one third of the tetrahedral voids. What is the formula of the compound?

(A) $X_{2} Y_{3}$ ✓ Correct
(B) $X_{3} Y$
(C) $X_{3} Y_{2}$
(D) $X Y_{3}$

Answer: (A)

Solution

In a cubic close packed array of Y there are 4 atoms of Y per unit cell, and the number of tetrahedral voids is twice this, namely 8. Element X occupies one third of these voids, giving

\frac{1}{3} \times 8 = \frac{8}{3}

atoms of X per cell. The ratio

X : Y = \frac{8}{3} : 4 = 2 : 3

, so the formula of the compound is

X_{2} Y_{3}

JEE Main · 2023 · 06 Apr 2023 · Shift 1 · Single correct option

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