Solutions to exercises
Chapter 1
Section 1.2
1.− 1 2. 7 3. 1
- 12 5.− 12 6.− 2
- 2 8. 328 9. 1228
10.− 11218 11. 126 12.− 1254
- 53248 14. 328 15. 322
- 529 17. 122 18. 15216
- 225 20. 126 21. 3
Section 1.3
- 21 × 13 23. 2
4
1 × 15 24. 2
8
- 21 × 13
4
1 × 15 26. 126 27. 327
- 3214 29. 3220 30. 2
- 5040 32. 3628800 33. 3
- 120 35. 10 36. 120
Section 1.4
37.0.01 38.0.002 39.2.000305
40.0.375 41.0.04 42.0.15625
43.0.11= 44.0.0909=
45.0.047619047619=
46.0.058823529411764705882=
47.0.076923077,0.07692308,0.0769231,
0.076923,0.07692,0.0769,0.077,0.08
48.1.4142136,1.414214,1.41421,1.4142,
1.414,1.41,1.4, 1
49.3.1415927,3.141593,3.14159,3.1416,
3.142,3.14,3.1, 3
Section 1.6
50.a
5
- 1 52.a
− 1
53.a
54.a
9
55.a
12
56.a
− 6
57.a
8
58.a
526
59.a
3
60.a
2
b
4
61.(a
3
1 + 1 b
3
)
123
- 3 63. 4
- 8 65. 1281 66. 1 67. 1
- 8 69. 14 70. 35 71. 12
- 16 73. 2 74. 19 75. 103
- 37 77. 13
Section 1.7
- 71 − 12 i, 471 − 1 i 79.− 41 − 110 i,− 291 + 126 i
Section 1.8
80.m
3
; volume 81.kg 1 m
− 3
; density
82.mol 1 m
− 3
; concentration
83.kg 1 m 1 s
− 1
; momentum
84.kg 1 m 1 s
− 2
1 = 1 N; force
85.kg 1 m
2
1 s
− 2
1 = 1 N 1 m 1 = 1 J; work, energy
86.kg 1 m
− 1
1 s
− 2
1 = 1 N 1 m
− 2
1 = 1 Pa; pressure
87.A 1 s 1 = 1 C; electric charge
88.kg 1 m
2
1 A
− 1
1 s
− 3
1 = 1 J 1 C
− 1
1 = 1 V; electric potential
89.kg 1 m
2
1 s
− 2
1 mol
− 1
1 = 1 J 1 mol
− 1
; molar energy
90.kg 1 m
2
1 s
− 2
1 mol
− 1
1 K
− 1
1 = 1 J 1 mol
− 1
1 K
− 1
;
heat capacity, molar entropy
- (i) 26.8224 1 m 1 s
− 1
,
(ii) 96.56064 1 km 1 h
− 1
- (i) in 1 h
− 1
,(ii) 7.0555 1 × 110
− 6
1 m 1 s
− 1
,
(iii) 21 yd 1 h
− 1
,5.08 1 × 110
− 4
1 m 1 s
− 1
1.8288 1 × 110
− 3
1 km 1 h
− 1
- (i) lbf 1 = 1 4.448222 1 N,
(ii) psi 1 = 1 lbf 1 in
− 2
1 = 1 6894.75729 1 Pa,
(iii) 4.067454 1 kJ
- (i) 2.3331 1 × 110
3
1 Pa,
(ii) 2.3331 1 × 110
− 2
1 bar,
(iii) 2.3026 1 × 110
− 2
1 atm
- 10
3
1 m
− 3
- 10
4
1 m 1 s
− 2
98.kg 1 m
− 3
- 10
− 6
1 kg 1 m 1 s
− 2
- 10
17
1 kg 1 m
− 1
1 s
− 2
- 10
3
1 m 1 s
− 1
- 10
2
1 kg 1 m
2
1 s
− 2
103.mol 1 m
− 3
- (i) 17.0265,(ii) 2.8273 1 × 110
− 26
1 kg,
(iii) 0.01703 1 kg 1 mol
− 1
- (i) (a) 127.45 1 pm,(b) 1.2745 1 Å,
(c) 2.4084 1 a
0
,(ii) 1.6266 1 × 110
− 27
1 kg,
(iii) 2.6421 1 × 110
− 47
1 kg 1 m
2
- (i) 86.52 1 THz,(ii) 3.465 1 μm,
(iii) 0.3578 1 eV,34.52 1 kg 1 mol
− 1
- (i) 4621 m 1 s
− 1
,(ii) 4751 m 1 s
− 1
Chapter 2
Section 2.1
- (i) 2 (ii)− 4 (iii) 11 (iv) 0
- (i)− 1 (ii) 4 (iii)− 2
(iv)− 1929