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Q.

A diatomic molecule X2 has a body-centred cubic (bcc) structure with a cell edge of 300 pm. The density of the molecule is 6.17gcm3. The number of molecules present in 200g of X2  is.

 Avogadro constant NA=6×1023mol1

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a

8NA

b

40 NA

c

2 NA

d

4 NA

answer is D.

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Detailed Solution

Density expression:

ρ=z×Ma3×NA

Substitute the given values in the above expression:

6.17=2×M300×10-103×NA MNA=6.17×300×10-1032      M  =8.3×10-23 NA=50 g/mol

Number of molecules present in one mole (or molar mass ) is equal to 6×1023 (NA). Molecules present in 200 g is:

Number of molecules=NA50×200 g=4 NA

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