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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 centered

C

Body centered

D

End centered

Text Solution

Verified by Experts

The correct Answer is:
B
`rho = (Z.M)/(N_(0).a^(3))`
`Z = (rho.N_(0).a^(3))/M xx s`
`= (8.92 xx 6.022 xx 10^(23) xx (362 xx 10^(-10))^(3))/(63.55) = 4`
So, the type of unit cell is fcc.
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