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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

The correct Answer is:
D
Number of atoms `= N_(A)`
`rArr` Number of unit cells `= (N_(A))/(4)`
[`:' 4` atoms in each unit cell]
Volume of `1` mol lattice `= (N_(A))/(4) xx` Volume of unit cell
`= (6.023 xx 10^(23))/(4) xx (400 xx 10^(-12))^(3)m^(3) = 9.64 mL`
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