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Lithium metal has a body centred cubic l...

Lithium metal has a body centred cubic lattice structure with edge length of unit cell 353 pm . Calculate the density of the lithium metal. [Given : Atomic mass of Li = `7 g mol^(-1) , N_A = 6.022 xx 10^(23)` atom `mol^(-1)`)

Text Solution

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`d= (ZM)/(a^3N_A)`
Given : `Z = 2` for BCC
`M = 7 g mol^(-1)`
`a = 352 p m = 352 xx 10^(-10) cm`
`N_A = 6.022 xx 10^(23) "atoms" mol^(-1)`
`d = (2"atoms" xx 7 g mol^(-1))/((352 xx 10^(-10) cm)^(3) xx (6.022 xx 10^(23) "atoms mol"^(-1)))`
`= 0.53 g cm^(-3)`.
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