Q21 / 160 · AP EAMCET 2022 (06 Jul Shift 2) · Chemistry

A cubic lattice has atoms of $A$ at the body centre, atoms of $B$ at the corners of the cube and atoms $C$ at all the face centres. What is its formula?

  • Correct answer
    A
    $A B C_3$
  • B
    $A B C_2$
  • C
    $A B_2 \mathrm{C}$
  • D
    $A_2 B C_3$

Solution

Number of atoms of $A=1$ ( 1 atom is present at centre of cell) Number of atoms of $B=$ Number of corners $\times$ Contribution of each atom $$ =8 \times \frac{1}{8}=1 $$ Number of atoms of $C=$ Number of faces $\times$ Contribution of each atom $$ =6 \times \frac{1}{2}=3 $$ Therefore, formula of compound $=A B C_3$.

Hence, the correct answer is option: 'A'.

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