Q10 / 120 · VITEEE 2016 · Chemistry

An ionic compound has a unit cell consisting of A ions at the corners of a cube and B ions on the centres of the faces of the cube. The empirical formula for this compound would be

  • A
    $\mathrm{A}_{3} \mathrm{~B}$
  • Correct answer
    B
    $\mathrm{AB}_{3}$
  • C
    $\mathrm{A}_{2} \mathrm{~B}$
  • D
    $\mathrm{AB}$

Solution

Number of A ions in the unit cell $=\frac{1}{8} \times 8=1$ Number of $\mathrm{B}$ ions in the unit cell $=\frac{1}{2} \times 6=3$ Hence empirical formula of the compound $=\mathrm{AB}_{3}$

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

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