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CsBr crystallises in a body centred cubi...

CsBr crystallises in a body centred cubic lattice. The unit cell length is 436.6 pm. Given that the atomic mass of Cs = 133 u and that of Br = 80 u and Avogadro number being `6.023xx10^(23)"mol"^(-1)`, the density of CsBr is

A

`42.5 g/cm^(3)`

B

` 0.425 g/cm^(3) `

C

`8.25 g/cm^(3)`

D

` 4.25 g/cm^(3) `

Text Solution

Verified by Experts

The correct Answer is:
D
For CsBr no. of formulas/unit cell
n=1(like CsCI type)
`C.D=(nxxM)/(VxxN_(A))``[{:(M=133+80=213),(V=a^(3)=(436.6xx10^(-12))^(3)):}]`
`C.D=(1xx213gm)/(83.22xx10^(-12)cm^(3)xx6.02xx10^(23))=4.25gm//cm^(3)`
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