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CsBr crystallises in a body- centred cub...

`CsBr` crystallises in a body`-` centred cubic lattice. The unit cell length is `436.6 p m`. Given that `:` the atomic mass of `Cs=133` and that of `Br=80 am u` and Avogadro's number being `6.02xx10^(23)mol^(-1)`, the density of `CsBr` is `:`

A

`4.25 g//cm^(3)`

B

`42.5 g//cm^(3)`

C

`0.425 g//cm^(3)`

D

`8.25 g//cm^(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
`rho=(ZxxM)/(a^(3)xxN_(0)xx10^(-30))`
`(2xx(213 g " mol"^(-1)))/((436.6)^(3)xx(6.02xx10^(23)" mol"^(-1))xx(10^(-30) cm^(3)))`
`=4.25 g " cm"^(-3)`
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