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Answer any five of the following questio...

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)` ].

Text Solution

Verified by Experts

Given `Z=2` for Bcc
`d = (ZM)/( N_(A) a^3)`
`d= (2xx7)/( (6.022 xx 10^(23) ) (352 xx 10^(-10) )^3)`
`d= 0.53 " gcm"^(-3)`
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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) )

Calcium metal crystallises in a face centered cubic lattice with edge length of 0.556nm. Calculate the density of the metal. [Atomic mass of calcium 40 g/mol] [N_(A) = 6.022 xx 10^(23) " atoms/ mol"]

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
    75 pm
    C
    300 pm
    D
    240 pm

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    (a) Calculate the packing efficiency in F.C.C. cubic lattice. (b) Calcium metal crystallises in face centered cubiv lattice with edge length of 0.556 nm. Calculate the density of the metal. [Atomic mass of calcium 40 g/mol. N_(A) = 6.022 xx 10^(23) atoms/mol.]

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