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A metallic element has a cubic lattice. ...

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

A

`1xx10^(24)`

B

`1xx10^(20)`

C

`1xx10^(22)`

D

`1xx10^(25)`

Text Solution

Verified by Experts

The correct Answer is:
4
`v=a^(3)=8xx10^(-24)c c`
mass of 1 unit cell =`vxxd=8xx10^(-24)xx2.5`
no. of unit cells in 200 grams of metal
`=(200)/(8xx10^(-24)xx2.5)=1xx10^(25)`
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