A face centered cubic element (atomic ma...

A face centered cubic element (atomic mass =60) has edge length of 400pm. What is the density of unit cell

Text Solution

Verified by Experts

Here r = 128 pm
For f.c.c. lattice,
`sqrt(2)a=4r`
`a=(4r)/(sqrt(2))=2.sqrt(2)r`
`=2xx1.414xx128"pm"`
`=362"pm"=3.62xx10^(-8)"cm"`
Z (f.c.c. lattice) = 4, `M=63.5"g mol"^(-1)`
`N_(A)=6.022xx10^(23)"mol"^(-1)d=?`
`d=(ZxxM)/(a^(3)xxN_(A))`
`(4xx63.5"g mol"^(-1))/((3xx62xx10^(-8))^(3)"cm"^(3)xx6.022xx10^(23)"mol"^(-1))`
`=(254.0xx10)/(47.44xx6.022)"g cm"^(-3)=8.89"g cm"^(-3)`

Topper's Solved these Questions

THE SOLID STATE
BETTER CHOICE PUBLICATION|Exercise Numerical Problems|66 Videos
THE P-BLOCK ELEMENTS
BETTER CHOICE PUBLICATION|Exercise QUESTION BANK|205 Videos

Similar Questions

Explore conceptually related problems

The face centered cubic cell of platinum ha an edge length of 0.392nm. Calculate the density of platinum (g//cm^(3)) : ("Atomic mass": Pt=195)

Silver crystallises with face centred cubic unit cells. Each side of the unit cell has a length of 409 pm. What is the radius of an atom of silver ? (Assu!'le that each face atom is touching the four corner atoms)

An element crystallising in body centred cubic lattice has an edge length of 500 pm. If its density is 4gcm^-3 , the atomic mass of the element is

The density of argon (face centered cubic cell) is 1.83g//cm^(3) at 20^(@)C . What is the length of an edge a unit cell? ("Atomic mass": Ar=40)

An element crystallize in fcc lattice and edge length of unit cell is 400 pm. If density of unit cell is 11.2 gcm^-3 , then atmomic mass of the element is

Xenone crystallizes in the face centred cubic lattice and the edge of the unit cell is 620 pm. What is the nearest neighbour distance and radius of xenon atom?

In a face centered cubic arrangement of A and B atoms whose A atoms are at the corner of the unit cell and B atoms at the face centers. One of the B atoms missing from one of the face in unit cell. The simplest formula of compounding is:

BETTER CHOICE PUBLICATION-THE SOLID STATE-Numerical Problems

An element crystallizes in a structure having fcc unit cell of edge 30...
Text Solution
|
An element crystallizes in a structure having fcc unit cell of edge 30...
Text Solution
|
A compound is formed by two elements in M and N. The element N forms c...
Text Solution
|
A cubic solid made up of two elements A and B. Atoms A are present at ...
Text Solution
|
Copper crystallizes in a face centred cubic lattice. Calculate the num...
Text Solution
|
A face centered cubic element (atomic mass =60) has edge length of 400...
Text Solution
|
The density of KBr is 2.75"gm cm"^(-3). The edge length of unit cell i...
Text Solution
|
The density of chromium metal is 7.2"g cm"^(-3). If the unit cell is c...
Text Solution
|
An element having bcc geometry has atomic mass 50u. Calculate the dens...
Text Solution
|
An element (at mass 60) havind FCC structure has a density of 6.23"g c...
Text Solution
|
The compound CuCl has ZnS structure and the edge length of its unti ce...
Text Solution
|
An element having a density 11.2"g cm"^(-3) forms a fcc lattice with e...
Text Solution
|
An element having bcc geometry has atomic mass 50. Calculate the densi...
Text Solution
|
An element has a body-centred cubic (bbc) structure with a cell edge o...
Text Solution
|
An element has a body-centred cubic (bbc) structure with a cell edge o...
Text Solution
|
An element has density 6xx8"g cm"^(-3) occurs in bcc structure with ce...
Text Solution
|
A solid has NaCl structure. If the radius of cation A is 100 pm. What ...
Text Solution
|
The two ions A^(+)&B^(-) have radii 88 pm and 200 pm, respectively. In...
Text Solution
|
If the radius of Na^(+) ion is 95 p m and that of Cl^(-) ion is 181 p ...
Text Solution
|
In a metallic oxide, oxide ions are arranged in cubic close packing. O...
Text Solution
|