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An fcc lattice has a lattice parameter a...

An fcc lattice has a lattice parameter `a = 400` pm. Calculater the molar volume of the lattice including all the empty space.

A

10.8 mL

B

96 mL

C

8.6 mL

D

9.6 mL

Text Solution

Verified by Experts

No. of atoms =`N_(a) implies` No. of unit cells =`(N_(a))/(4) " " [ because ` 4 atoms in each unit cell]
Volume of 1 mole lattice `(N_(a))/(4)xx` volume of unit cell
`=(6.023xx10^(23))/(4) xx(400xx10^(-12))^(3)m^(3)=9.64 mL`
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