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Q.
An $f c c$ lattice has a lattice parameter $a =400\, pm$. Calculate the molar volume of the lattice including all the empty space.
The Solid State
Solution:
Number of atoms $=N_A$
$\Rightarrow$ Number of unit cells $=\frac{N_A}{4}$
$[\because 4$ atoms in each unit cell $]$
Volume of $1\, mol$ lattice $=\frac{N_A}{4} \times$ Volume of unit cell
$=\frac{6.023 \times 10^{23}}{4} \times\left(400 \times 10^{-12}\right)^3 m ^3=9.64\, mL$