NEET 2023 — Chemistry solution

NEET2023Chemistry

A compound is formed by two elements A and B. The elements B forms cubic close packed structure and atoms of A occupy $\frac{1}{3}$ of tetrahedral voids. If the formula of the compound is A $_{x}$ B $_{y}$ , then the value of $x + y$ is in option:

A
$4$
B
$3$
C
$2$
D
$5$

Solution

In a CCP unit cell there are $4$ B atoms and $8$ tetrahedral voids.

Atoms A occupy $\frac{1}{3}$ of the THVs: $Z_{A} = \frac{8}{3}$ , while $Z_{B} = 4$ .

Ratio A:B $= \frac{8}{3} : 4 = \frac{2}{3} : 1 = 2 : 3$ .

So the formula is $A_{2} B_{3}$ , and $x + y = 2 + 3 = 5$ .

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