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Silver crystallizes in CCP lattice. The ...

Silver crystallizes in CCP lattice. The edge length of its unit cell is 408.6 pm. Calculate density of silver (atomic mass of silver is 107.9)

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Data: Element crystallizes in FCC: `therefore Z=4`
Atomic mass M= 107.9 g
Edge length =a=408.6 pm`=408.6 xx 10^(-12)`m
`=408.6 xx 10^(-12) xx 10^(2)` cm
`=408. 6 xx 10^(-10)` cm
`4.086 xx 10^(-8)` cm
Formula: `d = (Z xx M)/(a^(3) xx N_(A))`
Density (d) = ?
`d=(4 xx 107.9)/((4.086 xx 10^(-4))^(3) xx 6.022 xx 10^(23))`
`d= 431.6/(68.217 xx 10^(-24) xx 6.022 xx 10^(23))`
`d=(431.6)/(41.08) = 10.506 g cm^(-3)`.
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Knowledge Check

  • The edge length of NaCl unit cell is 564 pm. The density of NaCl in gcm^-3 is

    A
    `216 g cm^(-3)`
    B
    `21.6 g cm^(-3)`
    C
    `2.16 g cm^(-3)`
    D
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