wiz-icon
MyQuestionIcon
MyQuestionIcon
201
You visited us 201 times! Enjoying our articles? Unlock Full Access!
Question

Calculate the percentage of space occupied by the voids in body centred cubic unit cell.

A
26%
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
32%
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
68%
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
54%
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 32%
For body centred cubic arrangement, Zeff=2

4r=3 a
where,
r is radius of atom
a is edge length of cube
Thus, a=4 r3
Volume of cell =a3
Volume of cell =(4 r3)3
Packing efficiency =Total volume occupied by sphereVolume of unit cell×100
Packing efficiency =Z×43πr3a3×100
=2×434r3(4r2)3×100=3 π×1008=68%
Percentage of empty space =10068=32%

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon