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MHT CET 202625 AprilEvening Shift
Exam
MHT CET
Year
2026
Date
25 April
Shift
Evening Shift
Subject
Chemistry
Chapter
Solid State

MHT CET 2026 · 25 April · Evening Shift · Chemistry · Solid State

A solid is formed of two different elements, A and B. In this atoms...

A solid is formed of two different elements, A and B. In this atoms of A are arranged in the CCP array, and atoms of B occupy all octahedral voids and half of tetrahedral voids. Find the formula of the solid.

Options

  1. AAB\text{AB}
  2. BA2B\text{A}_2\text{B}
  3. CAB2\text{AB}_2
  4. DAB3\text{AB}_3

Correct answer

C. AB2\text{AB}_2

Step-by-step solution

In a CCP lattice, the number of atoms per unit cell is 44.

Number of atoms of A =4= 4

The number of octahedral voids is equal to the number of atoms in the lattice, which is 44.

The number of tetrahedral voids is twice the number of atoms in the lattice, which is 88.

Atoms of B occupy all octahedral voids and half of the tetrahedral voids.

Number of atoms of B =4+12×8=4+4=8= 4 + \dfrac{1}{2} \times 8 = 4 + 4 = 8

The ratio of atoms of A to atoms of B is 4:8=1:24 : 8 = 1 : 2.

The formula of the solid is AB2\text{AB}_2.

Answer: AB2\text{AB}_2
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