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Argon crystallizes in FCC arrangement an...

Argon crystallizes in FCC arrangement and density of solid and liquid argon is 3/7 and 3gm/cc respectively. Find percentage of empty space in liquid Ar.

A

17

B

34

C

68

D

82

Text Solution

Verified by Experts

The correct Answer is:
B
First method
Let the volume of sloid Ar=100mL.
Mass of solid Ar=
`Vxxrho=100xx1.59gcm^(-3)=159g`
Volume of liquid Ar=
`("Mass")/(rho)=(159g)/(1.42gcm^(-3))=112mL`
Since Ar crystallizes in fcc-type lattice, the packing fraction (PF)=0.74
Actual volume occupie by Ar=PF xx Volume of solid Ar=`0.74xx100=74mL`
% Empty space in liquid Ar=
`((112-74))/(112)=33.92%`
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