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Q.

A diatomic molecule X 2   has a Body-Centered Cubic (BCC)  structure with a cell edge of 300 Pm. The density of , 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  

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a

8 N A  

b

2 N A    

c

4 N A  

d

40 N A  

answer is C.

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Detailed Solution

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Atom X are present in bcc lattice. For atom X, effective number of atoms in the units cell=2For molecule X2, Z=2,d=z×MNA×a3 6.17=2×M6×1023×300×10103 
M=50g/mol . Number of molecules present in 200g of X2=200g50g/mol×NA  molecules/mol 
 

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