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Sodium (Na=23) crystallizes in bc c arra...

Sodium `(Na=23)` crystallizes in `bc c` 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

  • 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//"cc"`
    B
    `2.46 g//"cc"`
    C
    `1.19 g // "cc"`
    D
    None of these

  • Sodium crystallises in bcc arrangement with the interfacial separation between the atoms at the edge length of 53 pm. The density of the solid is

    A
    1.23 g/cc
    B
    485 g/cc
    C
    4.85 g/cc
    D
    123 g/cc

  • Calculate the density of the solid sodium, when crystallises in body centred cubic (bcc) arrangement with interfacial separation between the atoms at an edge is 53 pm.

    A
    1.23 g/cc
    B
    485 g/cc
    C
    4.85 g/cc
    D
    123 g/cc
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