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An element crystallising in body centred...

An element crystallising in body centred cublic lattice has edge length of 500 pm. If the density is 4 g `cm^(-3)`, the atomic mass of the element `("in g mol"^(-1))` is (consider `N_(A)=6xx10^(23))`

A

100

B

250

C

125

D

150

Text Solution

Verified by Experts

The correct Answer is:
D
For bcc, Z=2
`d=(ZxxM)/(N_Axxa^3)`
`rArr M=(d xx N_Axxa^3)/Z`
`therefore M=(4xx6xx10^23xx(500xx10^(-10))^3)/2`
`=(4xx6xx10^23xx125xx10^(-24))/2="150 g mol"^(-1)`
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