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KCET2009ChemistrySolid State

A compound of 'A' and 'B' crystallises in a cubic lattice in which 'A' atoms occupy the lattice points at the corners of the cube. The ' B ' atoms occupy the centre of each face of the cube. The probable empirical formula of the compound is

Options

  1. AAB ₂
  2. BA₃ B
  3. CAB
  4. DAB ₃

Correct answer

D. AB ₃

Step-by-step solution

A occupies corners, thus number of A atoms per unit cell =8 1 8 =1B occupies face centres, thus number of B atoms per unit cell =6 1 2 =3 The empirical formula of the compound is AB ₃ .

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