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Lithium metal has a body centred cubic l...

Lithium metal has a body centred cubic lattice structure with edge length of unit cell 353 pm . Calculate the density of the lithium metal. [Given : Atomic mass of Li = `7 g mol^(-1) , N_A = 6.022 xx 10^(23)` atom `mol^(-1)`)

Text Solution

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`d= (ZM)/(a^3N_A)`
Given : `Z = 2` for BCC
`M = 7 g mol^(-1)`
`a = 352 p m = 352 xx 10^(-10) cm`
`N_A = 6.022 xx 10^(23) "atoms" mol^(-1)`
`d = (2"atoms" xx 7 g mol^(-1))/((352 xx 10^(-10) cm)^(3) xx (6.022 xx 10^(23) "atoms mol"^(-1)))`
`= 0.53 g cm^(-3)`.
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Answer any five of the following questions. Lithium metal has a body centred cubic lattice structure with edge length of edge unit cell 352 pm. Calculate the density of lithium metal. [Given: Atomic mass of Li = 7 "gmol"^(-1) , N_(A) = 6.022 xx 10^(23) atoms mol ""^(-1) ].

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Knowledge Check

  • Lithium forms body centred cubic structure. The length of the side of its unit cell is 351 pm. Atomic radius of the lithium will be :

    A
    152pm
    B
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    C
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    D
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  • Aluminium metal has face centred cubic (fcc) structure. The number of 'Al' atoms per unit cell of the lattice is

    A
    2
    B
    1
    C
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    D
    6

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