Answers to Problems
425
3. ∆v =
4
2
4
5
3
J
J
eB
M
M
m


−
′


π 

4. g = 3/2; 4.2 × 10
10
s
–1
6. g = 0.40
7. 0.025
8. 2 exp (– E 2 /kT) = exp (– E 1 /kT) + exp (– E 3 /kT)
9. 4.55 × 10
–4
%
10. ∆λ = 3.98 Å, 6.64 Å
Chapter 7
1. Allowed occupation numbers are A = (1, 0, 0, 2),
B = (0, 1, 1, 1), C = (0, 0, 3, 0)
(a) 3, 12, 8 (b) 1, 2, 4 (c) 0, 1, 0 are the numbers of arrangements for A,
B , C
2.
1
2
kT; 1.35 × 10
–6
3. 7.5 × 10
–7
%
4. 11.7 %, 1.6 %
5. 2.8 R
6. E =
/
2
2
0
0
4
(
1)
T
x
T
x dx
N kT
e
θ
 
 
θ
−
  ∫
7. 350 K
8. R mol
–1
K
–1
9. 4πV
/
3
2
3
3
0
(2
)
(
1)
T
t
l
x
kT
x dx
v
v
h
e
θ
−
− 

+


−

 ∫
11. 5.5 eV, 3.3 eV; 1 – 1.8 × 10
–5
, 1–5.1 × 10
–5
12. 0.018 R, 2.8 R
13. 4.25 × 10
4
K
14. 1.97 × 10
24
m
–3
15. 2.6 J/ms K
16. 7 × 10
11
s
–1
17. 1.96 × 10
–5
V
Chapter 8
1. 6.7 eV, 0.89 eV
3. C = 8.7 keV, a = 0.31 Å
4. 6.0 × 10
23
mol
–1
5. sin θ = 0.50, 0.71, 0.87 ; no; no
6. R (3
1/2
–1); R (2/3
1/2
–1); R (3
1/2
/2
1/2
–1)
8. 13.6 Ω
–1
m
–1
; – 1.1 × 10
–3
V m
3
/A W
9. 3
10. 0.73 eV
11. 0. 014 K
12. 6 × 10
–10
Ω
–1
m
–1
; 1.15 × 10
2
Ω
–1
m
–1
13. 0.22 A, 4.6 × 10
–8
A
14. 9.15 × 10
–7
m
16. 0.83 × 10
–2
Ω m
18. 2.9 × 10
25
m
–3
19. 0.85 V