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Lithium has bcc structure. Its density i...

Lithium has bcc structure. Its density is `530kg*m^(-3)` and its atomic mass is `6.94g*mol^(-1)`. Calculate the edge length of a unit cell of lithium metal
`(N_(A)=6.02xx10^(23)mol^(-1))`

A

527 pm

B

264 pm

C

154 pm

D

352 pm

Text Solution

Verified by Experts

The correct Answer is:
D
Density of the crystal, `rho=(ZxxM)/(N_(A)xxa^(3))`
`therefore" "530=(2xx6.94xx10^(-3))/(6.02xx10^(23)xxa^(3))or,a^(3)=43.50xx10^(-30)`
`therefore" "a=3.52xx10^(-10)m` = 352pm
`therefore" "` The edge length of a unit cell of lithium metal is 352 pm.
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