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Density of a unit cell is represented as...

Density of a unit cell is represented as
`rho=("Effectiveno.ofatom(s)x Mass of a unit cell")/("Volume of a unit cell")=(Z.M.)/(N_(A).a^(3))`
Where, mass of unit cell = mass of effective no. of atom(s) or ion(s).
M = At. wt./formula wt.
`N_(A)="Avogadro’s no. "rArr 6.023xx10^(23)`
a = edge length of unit cell 
An element crystallizes in a structure having foc unit cell of an edge 200 pm. Calculate the density,if 100g this element contains `12 xx 10^(23)` atoms : 

A

`41.66 g //cm^(3)`

B

`4.166 g// cm^(3)`

C

`10.25 g // cm^(3)`

D

`1.025 g // cm^(3)`

Text Solution

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The correct Answer is:
A
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