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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

7.6 mL

B

6.5 mL

C

`10.8 ` mL

D

9.6 mL

Text Solution

Verified by Experts

The correct Answer is:
D
Volume `=a^(3)=(400xx10^(-10)cm)^(3)=64xx10^(-24)cm^(3)`
`V_("total")=VN_(A)=64xx10^(-24)xx6.02xx10^(23)=38.4`
Molar volume `=(1)/(4)xxV_("total")=(38.4)/(4)=9.6ml`.
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