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In crystalline solids, atoms or molecule...

In crystalline solids, atoms or molecules are arranged in a regular and long range order fashion in a three dimensional pattern. T Q. An element (density 6.8 g/`cm^(3)`) occurs in bcc structure with cell edge of 290 pm. the number of atoms present in 200 g of element is:

A

`24xx10^(23)`

B

`24xx10^(24)`

C

`24xx10^(22)`

D

`24xx10^(20)`

Text Solution

Verified by Experts

The correct Answer is:
A

Density`=(nxx"atomic mass")/("Av.no."xxa^(3)) or (2xxA)/(6.023xx10^(23)xx(290xx10^(-10))^(3))=6.8`
`therefore A=50`
`therefore`no. of atoms in `200g=(6.023xx10^(23)xx200)/(50)=24xx10^(23)`.
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