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The cubic unit cell of a metal (molar ma...

The cubic unit cell of a metal (molar mass= 63.55 `"mol"^(-1)`) has an edge length of 362pm. Its density is `8.92gcm^(-3)`. The type of unit cell is

A

Primitive

B

Face centred

C

Body centred

D

End centred

Text Solution

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The correct Answer is:
B
Density (d) `=(ZxxM)/(N_axxa^3)`
`Z=(d xx N_a xx a^3)/(M)`
`=(8.92xx6.023xx10^23xx(362xx10^(-10))^3)/(63.55)`
i.e., the metal crystallises in fcc .
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