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A metal crystallises as body centred cub...

A metal crystallises as body centred cubic lattice with the edge length of unit cell equal to 0.304 nm. If the molar mass of the metal is 50.3 g` mol^(−1)` , its density (in g `cm^(−3)` ) is :

A

`5.945 g" " cm^(-3)`

B

`2.9725 g" " cm^(-3)`

C

`8.9175 g" " cm^(-3)`

D

`4.458 g" " cm^(-3)`

Text Solution

Verified by Experts

The correct Answer is:
A
`rho=(ZtimesM)/(a^(3)timesN_(A))`
=`(2times50.3)/((0.307times10^(-7))^(3)times6.023times10^(23))`
=4.096g" "`cm^(-3)`.
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