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An element (atomic mass = 100 g//mol) ha...

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

A

`10.376g//cm^(3)`

B

`5.1888g//cm^(3)`

C

`7.289g//cm^(3)`

D

`2.144g//cm^(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
No. of atoms per unit cell in b.c.c. lattice (n)=2.
Density, `d=(n timesM)/(a^(3) timesN_(A))`
=`(2times100)/((4times10^(-8)cm)^(3)times6.02times10^(23))`
`=200/38.528=5.19g//cm^(3)`.
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