Home
Class 11
CHEMISTRY
Calculate the void space in a primitive ...

Calculate the void space in a primitive unit cell and also the fraction of the total volume occupied .

A

52

B

48

C

74

D

26

Text Solution

Verified by Experts

The correct Answer is:
B
a=4rVolume of the cube `=a^(3)=(2r)^(3)=8r^(3)`
Packing fraction `=("volume of one atom")/("volume of the cube")`
`(((4)/(3)pir^(3)))/(8r^(3))=(pi)/(6)=0.52`
`therefore` Void fraction `=1-0.52=0.48`
`therefore` Void space =48%
Promotional Banner

Similar Questions

Explore conceptually related problems

The void space in a primitive unit cell is :

packing fraction of a unit cell is drfined as the fraction of the total volume of the unit cell occupied by the atom(s). P.E=("Volume of the atoms(s) present in a unit cell")/("Volume of unit cell")=(Zxx(4)/(3)pir^(3))/(a^(3)) and % of empty space = 100- P.F.xx100 where Z= effective number of stoms in s cube . r= radius of a an atoms a = edge lenght of the cube % of energy space in body centered cubic cell unit is nearly :

packing fraction of a unit cell is drfined as the fraction of the total volume of the unit cell occupied by the atom(s). P.E=("Volume of the atoms(s) present in a unit cell")/("Volume of unit cell")=(Zxx(4)/(3)pir^(3))/(a^(3)) and % of empty space = 100- P.F.xx100 where Z= effective number of stoms in s cube . r= radius of a an atoms a = edge lenght of the cube Packing fraction in face centered cubic unit cell is :