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A metal has a fcc lattice. The edge leng...

A metal has a fcc lattice. The edge length of the unit cell is 404 pm The density of the metal is `2.72` gm `cm^(-3)` The molar mass of the metal is:

A

`40" g "mol^(-1)`

B

`30" g "mol^(-1)`

C

`27" g "mol^(-1)`

D

`20" g "mol^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
`"Density " rho = (ZtimesM)/(a^(3)timesN_(A)times10^(-30))`
`therefore 2.72 = (4timesM)/((404^(3))times(6.02times10^(23))times10^(-30))`
`therefore M = (2.72times(404)^(3)times(6.02times10^(23))times10^(-30))/4`
=`27 g" " mol^(-1)`
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