Copper has the fcc crystal structure. Assuming an atomic radius of 130 pm for copper atom (Cu = 63.54):the density of Cu is

Copper has the fcc crystal structure. Assuming an atomic radius of 130 pm for copper atom (Cu = 63.54):the density of Cu is

  1. A

    7.54 g/cm3

  2. B

    8.54 g/cm3

  3. C

    6.55 g/cm3

  4. D

    8.12 g/cm3

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    Solution:

    Expression of density:

    ρ=n×MmNA×a3

    For fcc structure, edge length is calculated as:

    4r=2aa=22r=22×130pm=367.64pm=3.67×108cm

    Volume of unit cell is:

    a3=3.67×1083cm3=49.43×1024cm3

    For FCC, Z= 4. Substitute the given values in the density expression:

     ρ=4×63.546.023×1023×3.67×108cm3=8.54 g/cm3

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