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A metal crystallises in a bcc lattice ,i...

A metal crystallises in a bcc lattice ,its unit cell edge length in 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

Given,
Molar mass M = 50g/mol
`N_(A)=6.02 xx10^(22)`
Z=2 ( for bcc crystal )
Edge length a = 300 pm = `3xx10^(-8)` cm
`d= (ZxxM)/(N_(A)xxa^(2))=(2xx50)/(6.02xx10^(23)xx(3xx10^(-8))^(2))=6.15~~6.2`
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