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Q.

The compound M2O (molar mass= 200 g mol-1 ) has anti-fluorite closest unit cell. If the radius of M+ is 79.55 pm, the density of M2Owould be

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a

1.33 g mol-1

b

2.00 g mol-1

c

0.67 g mol-1

d

2.67 g mol -1

answer is B.

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Detailed Solution

ra = rc/0.225 = (79.55 pm)/0.225 =353.56 pm;

a =22 ra =22  353.56 pm  =1000 pm

There are 4 molecules of M2X per unit cell of anti-fluorite structure. Hence 

ρ=NMNAa3=4200gmol16.022×1023mol11000×1010cm3=1.33gmol1

 

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The compound M2O (molar mass= 200 g mol-1 ) has anti-fluorite closest unit cell. If the radius of M+ is 79.55 pm, the density of M2Owould be