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A diatomic molecule X 2 has a body-centred cubic ( bcc ) structure with a cell edge of 300 pm . The density of the molecule is 6 . 17 gcm - 3 . The number of molecules present in 200 g of X 2 is : (Avogadro constant N A = 6 × 10 23 mol - 1 )

Options

  1. A40   N A
  2. B8   N A
  3. C4   N A
  4. D2   N A

Correct answer

C. 4   N A

Step-by-step solution

For BCC z = 2 d = Z × M N A ×  Volume  6 . 17 = 2 × M 6 . 02 × 10 23 × 3 × 10 - 8 3 6 . 17 = 2 × M 6 . 02 × 2 . 7 M = 50 No. of mole = 200 50 = 4 No. of molecule = 4   N A

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