calculate the packing efficiency of a metal crystal for simple lattice.in 50 word
Answers
Answered by
29
State
Calculate the efficiency of packing in case of a metal crystals for : simple cubic
52.4%62.4%68%54%52.4%62.4%68%54%
cbse class12 chemistry ch1 states-of-matter solid-statesec-c medium bookproblem q1.10-i
 Share
asked Jul 30, 2014 by sreemathi.v

1 Answer
Packing efficiency in simple cubic laattice :
In a simple cubic lattice the atoms are located only on the corners of the cube
The particles touch each other along the edge.Thus the edge length or side of the cube 'a' and the radius of each particles,r are related as :
a=2ra=2r
The volume of the cubic unit cell =a3=(2r)3=8r3a3=(2r)3=8r3
Since a simple cubic unit cell contains only 1 atom.
The volume of the occupied space =4343πr3πr3
∴∴ Packing efficiency =Volume of one atomVolume of cubic unit cellVolume of one atomVolume of cubic unit cell×100×100
⇒43πr3×1008r3⇒43πr3×1008r3
⇒π6⇒π6×100×100
⇒52.4%
Calculate the efficiency of packing in case of a metal crystals for : simple cubic
52.4%62.4%68%54%52.4%62.4%68%54%
cbse class12 chemistry ch1 states-of-matter solid-statesec-c medium bookproblem q1.10-i
 Share
asked Jul 30, 2014 by sreemathi.v

1 Answer
Packing efficiency in simple cubic laattice :
In a simple cubic lattice the atoms are located only on the corners of the cube
The particles touch each other along the edge.Thus the edge length or side of the cube 'a' and the radius of each particles,r are related as :
a=2ra=2r
The volume of the cubic unit cell =a3=(2r)3=8r3a3=(2r)3=8r3
Since a simple cubic unit cell contains only 1 atom.
The volume of the occupied space =4343πr3πr3
∴∴ Packing efficiency =Volume of one atomVolume of cubic unit cellVolume of one atomVolume of cubic unit cell×100×100
⇒43πr3×1008r3⇒43πr3×1008r3
⇒π6⇒π6×100×100
⇒52.4%
Similar questions