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A metal crystallises in a bcc lattice. I...

A metal crystallises in a bcc lattice. Its unit cell edge length is about 300 pm and its molar mass is about 50g `mol^(-1)`. What would be the density of the metal `("in" g" " cm^(-3))`.

A

3.1

B

6.2

C

9.3

D

12.4

Text Solution

Verified by Experts

The correct Answer is:
B
`a=300"pm", Z=2`(for bcc unit cell)
`M=50 g" " mol^(-1)`
`"Density", rho(ZtimesM)/(N_(A)timesa^(3)times10^(-30))g" "cm^(-3)`
`=(2times50)/(6.02times10^(23)times(300)^(3)times10^(-30))`
`=100/(6.02times27times10^(-1))`
`=1000/(6.02times27)=6.15 g cm^(-3)`
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