TS EAMCET · Chemistry · Solid State
A body centred cubic lattice is made up of two different types of atoms X and Y. Atom X occupies the body centre and atoms \(\mathrm{Y}\) occupy the corner positions. One of the corners is left unoccupied per unit cell. The empirical formula of it is
- A \(\mathrm{X}_2 \mathrm{Y}_3\)
- B \(\mathrm{X}_8 \mathrm{Y}_7\)
- C \(\mathrm{X}_7 \mathrm{Y}_8\)
- D \(\mathrm{X}_5 \mathrm{Y}_7\)
Answer & Solution
Correct Answer
(B) \(\mathrm{X}_8 \mathrm{Y}_7\)
Step-by-step Solution
Detailed explanation
No. of X atoms per unit cell \(=1 \times 8=8\) No. of \(Y\) atoms per unit cell \(=\left[\left(8 \times \frac{1}{8}\right) \times 8\right]-1=7\) \(\Rightarrow\) Empirical formula \(=\mathrm{X}_8 \mathrm{Y}_7\)
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