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

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

  1. A

    0.67 g mol-1

  2. B

    1.33 g mol-1

  3. C

    2.00 g mol-1

  4. D

    2.67 g mol -1

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    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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