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A metal crystallises face-centred cubic ...

A metal crystallises face-centred cubic lattice with edge length of 450pm. Molar mass of the metal is 50 g `"mol"^(-1)` . The density of metal will be :

A

`2.64 g cm^(-3)`

B

`3.64 g cm^(-3)`

C

`4.64 g cm^(-1)`

D

`2.68 g cm^(-3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Density `rho=(ZM)/(a^(3)xxN_(A))=(4xx50)/((450xx10^(-10))^(3)xx6.023xx10^(23))`
`=3.64 g cm^(-3)`
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