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25. (a) According to Appendix F the molar mass of silver is 107
.
870 g
/
mol and the density is 10
.
49 g
/
cm
3
.
The mass of a silver atom is
107
.
870
×
10
−
3
kg
/
mol
6
.
022
×
10
23
mol
−
1
=1
.
791
×
10
−
25
kg
.
We note that silver is monovalent, so there is one valence electron per atom (see Eq. 422). Thus,
Eqs. 424 and 423 lead to
n
=
ρ
M
=
10
.
49
×
10
3
kg
/
m
3
1
.
791
×
10
25
kg
=5
.
86
×
10
28
m
−
3
.
(b) The Fermi energy is
E
F
=
0
.
121
h
2
m
n
2
/
3
=
(0
.
121)(6
.
626
×
10
−
34
J
·
s)
2
9
.
109
×
10
−
31
kg
(5
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 Fall '08
 SPRUNGER
 Physics, Mass

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