Lithium metal has a body centred cubic structure. Its density is `0.53 g cm^(-3)` and its molar mass is `6.94 g mol^(-1)`. Calculate the edge length of a unit cell of Lithium metal

Options

A. `264` pm
B. `154` pm
C. `352` pm
D. `527` pm

Answer

d

Explanation

`d = (ZM)/(N_(A) xx a^(3))` , for `BC C Z = 2`
`530 kg//m^(3) = (2 xx 6.94 xx 10^(-3))/(6.02 xx 10^(23) xx a^(3))`
`a^(3) = 43.50 xx 10^(-30)`
`a= 3.52 xx 10^(-10) m = 352` pm