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Iron crystallises in a body-centred cubi...

Iron crystallises in a body-centred cubic lattice. The edge length of a unit cell in the lattice is 288pm. What is the density of iron? Atomic mass of iron = `55.85g*mol^(-1)`.

Text Solution

Verified by Experts

We know, `rho=(ZxxM)/(Nxxa^(3))`
In case of a body-centred cubic unit cell, Z = 2
Given : a = 288pm = `288xx10^(-10)cm,M=55.85g*mol^(-1)`
`rho=(55.85xx2)/(6.022xx10^(23)xx(288xx10^(-10))^(3))=7.76g*cm^(-3)`
Therefore, the density of iron = `7.76g*cm^(-3)`.
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