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A metallic element has a cubic lattice. ...

A metallic element has a cubic lattice. Each edge of the unit cell is 2Å. The density of the metal is 2.5 g `cm^(-3)`.The unit cells in 200g of the metal are

A

`1 xx 10^24 `

B

`1 xx 10^20`

C

`1 xx 10^22`

D

`1 xx 10^25`

Text Solution

Verified by Experts

The correct Answer is:
D
`V = a^3 = 8 xx 10^(-24) c.c`
mass of unit cell = V x d ` = 8 xx 106(-24) xx 2.5`
no of unit cell is 200 gm of metal
` = (200)/(8 xx 10^(-24) xx 2.5) = 1 xx 10^25`
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