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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 6.17 g cm−3. The number of molecules present in 200g of X2  is. Avogadro constant NA=6×1023mol−1

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a

8NA

b

40 NA

c

2 NA

d

4 NA

answer is D.

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Detailed Solution

e=2×MNA×1a36.17=2×MNA×300×10−103 Z=2M=6.17×NA×27×10−242  Number of molecules =200M=200×26.17×NA×27×1024×NA=4006.17×127×2024=40006.17×127×1023=40006.17×127×16×NA=648.2927×16×NA=24×16NA =4NA
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A diatomic molecule X2 has a body-centred cubic (bcc) structure with a cell edge of 300 pm. The density of the molecule is 6.17 g cm−3. The number of molecules present in 200g of X2  is. Avogadro constant NA=6×1023mol−1