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A metal crystallises face-centred cubic ...

A metal crystallises face-centred cubic lattice with edge length of 450 pm. Molar mass of the metal is `50g"mol"^(-1)` The density of metal will be: (1) 2.64g/cm^3 (2) 3.64 g/cm^3 (3) 4.64 g/cm^3 (4) 2.68 g/cm^3

A

`2.64"gcm^(-3)`

B

`3.64gcm^(-3)`

C

`4.64gcm^(-3)`

D

`2.68gcm^(-3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Density `rho=(ZM)/(a^(3)xxN_(A))=(4xx50)/((450xx10^(-10))^(3)xx6.02xx10^(23))=3.64gcm^(-3)`
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