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A metal has an fcc latticed.The edge len...

A metal has an fcc latticed.The edge length of the unit cell is `404` pm .The density of the metal is `2.72 g//cm^(-3)` .The molar mass of the metal is
`(N_(A)` Avogadro's constant `= 6.2 xx 10^(23) mol^(-1))`

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
According to formula
`d=(ZM)/(N_A xx a^3)`
`2.72=(4xx"Molecular Mass")/(6.022xx10^(23)xx (404xx10^(-10))^3)`
M = 27 g `mol^(-1)`
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