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Sodium (Na =23) crystallizen in bcc ar...

Sodium (Na =23) crystallizen in bcc arrangement with the interfacial separation between the atoms at the edge `53.6 "pm"`. The density of sodium crystal is:

A

`2.07 g//c c`

B

`2.46g//c c`

C

`1.19 g//c c`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
3
`a-2r=53.6p m`
also `4r=sqrt(3a)`
`rArr" "a-(sqrt(3))/(2)a=53.6" "rArr" "a=(53.6xx2)/(2-sqrt(3))=400p m`
Density `(rho)=(2xx23)/(6.023xx10^(23)xx4^(3)xx10^(-24))=1.19g//c c`
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Knowledge Check

  • A metal X crystallises in a face-centred cubic arrangement with the edge length 862 pm. What is the shortest separation of any two nuclei of the atom ?

    A
    406 pm
    B
    707 pm
    C
    862 pm
    D
    609.6 pm

  • An element (atomic mass = 100 g//mol ) having bcc structure has unit cell edge 400 pm .Them density of the element is

    A
    `"10.37 g cm"^(-3)`
    B
    `"5.19 g cm"^(-3)`
    C
    `"7.29 g cm"^(-3)`
    D
    `"2.14 g cm"^(-3)`
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