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27. (a) At
T
= 300 K
f
kT
E
F
==
×
=×
−
−
3
2
3 8 62 10
270
55 10
5
3
(.
/
..
eV K)(300 K)
eV)
(b) At
T
= 1000 K,
f
kT
E
F
×
−
−
3
2
3 8 62 10
18 10
5
2
/
eV K)(1000K)
eV)
(c) Many calculators and most math software packages (here we use MAPLE) have built
in numerical integration routines. Setting up ratios of integrals of Eq. 417 and canceling
common factors, we obtain
frac
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 Spring '08
 Any
 Physics

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