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An element cyrstallizes in a structure h...

An element cyrstallizes in a structure having F.C.C. unit cell of an edge 200pm. Calculate the density if 200gm of it contains `24xx10^(23)` atoms

A

`41.6 gm//cm^3`

B

`42.6 gm//cm^3`

C

`43.6 gm//cm^3`

D

`44.6 gm//cm^3`

Text Solution

Verified by Experts

The correct Answer is:
A
`rho = (ZM)/(N_0 a^3)`
` 24 xx 10^2` atoms mass = 200 gm
` 6xx 10^23` atoms mass = 50 gm
` (4 xx 50)/(6 xx 10^23(200 xx 10^(-10) )^3)`
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