The binding energy per atom is calculated for metallic sodium (Na) and copper (Cu). For Na, the binding energy per atom is 1.109493 eV. For Cu, the binding energy per atom is 3.494386 eV. The calculations involve using the formula that relates molar cohesive energy to the number of atoms and ionic binding energy, and plugging in values for the molar mass and cohesive energy of Na and Cu.
5. 5
We know that the relationship
between the molar cohesive
energy E and the ionic
binding energy B is given by:
1
( )(2 )
2
coh
coh A A
E B N BN
 
Na (Sodium)
6. 6
23
23
19
23
19
23
4
Now,
107 /
6.02 10 /
107000
6.02 10
1
107000 ( 10 )
1.602
6.02 10
66791.51 10
6.02 10
11094.93 10
1.109493
coh
coh A
A
E
E BN B
N
kJ mol
X mol
J
X
X X eV
X
X eV
X
X eV
eV
ï€
  






8. 8
23
23
19
23
19
23
4
Similarly,
337 /
6.02 10 /
337000
6.02 10
1
337000 ( 10 )
1.602
6.02 10
210362.047 10
6.02 10
34943.86 10
3.494386
coh
coh A
A
E
E BN B
N
kJ mol
X mol
J
X
X X eV
X
X eV
X
X eV
eV
ï€
  





