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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

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
`d=(ZxxM)/(a^3xxN_A)`
For bcc structure, Z=2
`d=(2xx50)/(6.023xx10^23xx(300xx10^(-10))^3)=6.15 g cm^(-3)`
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