Home
Class 12
CHEMISTRY
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`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RANK BOOSTER

    RESONANCE ENGLISH|Exercise All Questions|1896 Videos
  • SOLUTION AND COLLIGATIVE PROPERTIES

    RESONANCE ENGLISH|Exercise PHYSICAL CHEMITRY (SOLUTION & COLLIGATIVE PROPERTIES)|52 Videos

Similar Questions

Explore conceptually related problems

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

In a metal M having bcc arrangement edge length of the unit cell is 400 pm . The atomic radius of the metal is

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)`
  • Similar Questions

    Explore conceptually related problems

    An ionic solid A^(o+)B^(Θ) crystallizes as an bcc structure. The distance between cation and anion in the lattice is 338 pm . The edge length of cell is

    Sodium metal crystallizes in body centred cubic lattice with the cell edge, a=4.29Å . What is the radius of sodium atom?

    Sodium metal crystallizes in body centred cubic lattice with the cell edge, a=4.29Å . What is the radius of sodium atom?

    A metal crystallizes in BCC lattice. If the diameter of metal atom is 200 pm then the edge length of unit cell is

    Solid A^(+)B^(-) has a bcc structure .If the distance of closest apporach between two atoms is 173 pm ,the edge length of the cell is:

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