preface to fifteenth edition

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2.108 SECTION 2 TABLE 2.24 Integrals (Continued) Transcendental functions (continued) cos(m n)x cos(m n)x 54. sin mx cos nx dx C 2(m n) 2(m n) sin(m n)x sin(m n)x 55. sin mx sin nx dx C 2(m n) 2(m n) sin(m n)x sin(m n)x 56. cos mx cos nx dx C 2(m n) 2(m n) 57. tan xdxln cos x C 58. cot xdx ln sin x C dx x dx x 59. ln tan C 60. ln tan C sin x 2 cos x 4 2 dx x dx x 61. tan C 62. cot C 1 cos x 2 1 cos x 2 dx 63. sin x cos xdx 1⁄2 sin2 x C 64. ln tan x C sin x cos x n1 cos x sin x n 1 65.* sinn xdx sinn2 xdx n n n1 sin x cos x n 1 66.* cosn xdx cosn2 xdx n n n1 tan x 67. tann xdx tann2 xdx n 1 n1 cot x 68. cotn xdx cotn2 xdx n 1 dx cos x n 2 dx 69. n n1 n2 sin x (n 1) sin x n 1 sin x dx sin x n 2 dx 70. n n1 n2 cos x (n 1) cos x n 1 cos x p q p q p1 q1 q 1 q 1 dx 2 a b 1 2 2 p1 q1 sin x cos x q 1 p q p q2 71.* sin x cos xdx sin x cos xdx p q p q p1 q1 sin x cos p 1 sin p2 x cosq xdx p1 q1 sin x cos x p q 2 p q p2 q 72.* sin x cos xdx sin x cos xdx p 1 p 1 sin x cos x q p 2 73.* sin p x cosq xdx sinp x cosq2 xdx 74. tan1 tan ⁄2x C, when a2 b2 a b cos x pa b qa b 1 b a cos x sin x b2 a2 p ln C 2 2 p b a a b cos x [a2 b 2] 2 b a tanhtan 1 1 ⁄2x C 2 2 pb a qb a cos xdx x a dx 75. C a b cos x b b a b cos x *Ifn, p, orq is an odd number, substitute cos x z or sin x z
GENERAL INFORMATION, CONVERSION TABLES, AND MATHEMATICS 2.109 TABLE 2.24 Integrals (Continued) Transcendental functions (continued) sin xdx 1 76. ln (a b cos x) C a b cos x b A B cos x C sin x dy 77. dx A a b cos x c sin x a p cos y cos ydy sin ydy (B cos u C sin u) (B sin u C cos u) , a p cos y a p cos y where b p cos u, c p sin u, and x u y a sin bx b cos bx ax ax 78. e sin bx dx e C 2 2 a b a cos bx b sin bx ax ax 79. e cos bx dx e C 2 2 a b 1 1 2 80. sin xdx x sin x 1 x C 81. cos1 xdx x cos1 x 1 x2 C 1 1 1 2 82. tan xdx x tan x ⁄2 ln(1 x ) C p p 83. cot1 xdx x cot1 x 1⁄2 ln(1 x 2) C 84. sinh xdx cosh x C 85. tanh xdx ln cosh x C 86. cosh xdx sinh x C 87. coth xdx ln sinh x C x 88. sech xdx 2 tan 1 (e x ) C 89. csch xdx ln tanh C 2 90. sinh2 xdx 1⁄2 sinh x cosh x 1⁄2x C 2 91. cosh xdx 1⁄2 sinh x cosh 1⁄2x C 2 92. sech2 xdx tanh x C 93. csch xdxcoth x C 2.2.2 Surface Areas and Volumes* Let a, b, c, d, and s denote lengths, A denote areas, and V denote volumes. Triangle. A bh/2, where b denotes the base and h the altitude. Rectangle. A ab, where a and b denote the lengths of the sides. Parallelogram (opposite sides parallel). A ah ab sin , where a and b denote the sides, h the altitude, and the angle between the sides. Trapezoid (four sides, two parallel). A 1⁄2h(a b), where a and b are the sides and h the altitude. * Adapted by permission from Buring<strong>to</strong>n, Handbook of Mathematical Tables and Formulas, 3d. ed., McGraw-Hill Book Company, New York (1959).
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LANGE'S HANDBOOK OF CHEMISTRY John
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Grateful acknowledgment is hereby m
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PREFACE TO FIFTEENTH EDITION This n
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PREFACE TO FIFTEENTH EDITION ix inv
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xii PREFACE TO FOURTEENTH EDITION l
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PREFACE TO FIRST EDITION This book
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For the detailed contents of any se
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1.2 SECTION 1 is derived from the G
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1.4 SECTION 1 rather than methylide
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1.6 SECTION 1 Styrene Toluene Xylen
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1.8 SECTION 1 TABLE 1.2 Fused Polyc
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1.10 SECTION 1 1.1.1.6 Bridged Hydr
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1.12 SECTION 1 TABLE 1.4 Suffixes f
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1.14 SECTION 1 TABLE 1.5 Trivial Na
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1.16 SECTION 1 TABLE 1.6 Trivial Na
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1.18 SECTION 1 Selection of the pri
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1.20 SECTION 1 attached to one anot
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1.22 SECTION 1 When side chains of
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1.24 SECTION 1 heterocyclic structu
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1.26 SECTION 1 Bivalent radicals of
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1.28 SECTION 1 Complex linear polya
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1.30 SECTION 1 TABLE 1.11 Names of
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1.32 SECTION 1 hydroxyamino- to the
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1.34 SECTION 1 may be named (1) by
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1.36 SECTION 1 Examples are methyl
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1.38 SECTION 1 tuted acid, respecti
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1.40 SECTION 1 FIGURE 1.2 Newman pr
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1.42 SECTION 1 from the ring are kn
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1.44 SECTION 1 FIGURE 1.11 Two isom
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1.46 SECTION 1 Chiral Center. The c
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1.48 SECTION 1 FIGURE 1.15 Isomers
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1.50 SECTION 1 entries to bring tog
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1.52 SECTION 1 TABLE 1.13 Names and
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1.60 SECTION 1 TABLE 1.14 Empirical
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2.2 SECTION 2 2.3.6 Student’s Dis
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2.4 SECTION 2 TABLE 2.1 Fundamental
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2.6 SECTION 2 TABLE 2.1 Fundamental
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2.8 SECTION 2 TABLE 2.2 Physical an
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2.10 SECTION 2 TABLE 2.2 Physical a
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2.24 SECTION 2 TABLE 2.3 Mathematic
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2.26 SECTION 2 TABLE 2.6 Abbreviati
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2.36 SECTION 2 TABLE 2.7 Conversion
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2.54 SECTION 2 TABLE 2.8 Temperatur
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2.56 SECTION 2 TABLE 2.8 Temperatur
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Page 220 and 221: TABLE 2.29 F Distribution (Continue
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Page 228 and 229: 3.2 SECTION 3 The alphabetical orde
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TABLE 3.2 Physical Constants of Ino
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3.62 SECTION 3 TABLE 3.3 Synonyms a
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SECTION 4 PROPERTIES OF ATOMS, RADI
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4.3 Fermium Fm 100 [Rn] 5f 12 7s 2
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Silver (argentum) Ag 47 [Kr] 4d 10
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PROPERTIES OF ATOMS,RADICALS,AND BO
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PROPERTIES OF ATOMS, RADICALS, AND
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SECTION 5 PHYSICAL PROPERTIES 5.1 S
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PHYSICAL PROPERTIES 5.3 5.1 SOLUBIL
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TABLE 5.1 Solubility of Gases in Wa
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TABLE 5.1 Solubility of Gases in Wa
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TABLE 5.2 Solubilities of Inorganic
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formateBa(CHO 2 ) 2 26.2 28.0 29.9
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(III) sulfateCe 2 (SO 4 ) 3 ·9H 2
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iodidePbI 2 0.044 0.056 0.069 0.090
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Nickel sulfateNiSO 4 ·6H 2 O (pale
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Praseodymium bromatePr(BrO 3 ) 3 55
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formate NaCHO 2 43.9 62.5 81.2 102
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Uranyl nitrate UO 2 (NO 3 ) 2 98 10
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PHYSICAL PROPERTIES 5.25 TABLE 5.3
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PHYSICAL PROPERTIES 5.57 5.3 BOILIN
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TABLE 5.12 Ternary Azeotropic Mixtu
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TABLE 5.12 Ternary Azeotropic Mixtu
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PHYSICAL PROPERTIES 5.83 5.4 FREEZI
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PHYSICAL PROPERTIES 5.87 5.5 DENSIT
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PHYSICAL PROPERTIES 5.89 dt Dt P
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PHYSICAL PROPERTIES 5.135 5.6.1 Ref
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PHYSICAL PROPERTIES 5.137 where the
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PHYSICAL PROPERTIES 5.139 5.7 COMBU
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Temperature, C Substance 40 20 0 20
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PHYSICAL PROPERTIES 5.171 This equa
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SECTION 6 THERMODYNAMIC PROPERTIES
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THERMODYNAMICPROPERTIES 6.3 6.1.1.2
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THERMODYNAMICPROPERTIES 6.5 A gener
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THERMODYNAMICPROPERTIES 6.7 TABLE 6
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THERMODYNAMICPROPERTIES 6.9 TABLE 6
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THERMODYNAMICPROPERTIES 6.11 TABLE
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THERMODYNAMIC PROPERTIES 6.21 TABLE
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THERMODYNAMIC PROPERTIES 6.101 TABL
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THERMODYNAMIC PROPERTIES 6.143 The
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SECTION 7 SPECTROSCOPY 7.1 X-RAY ME
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SPECTROSCOPY 7.3 TABLE 7.1 Waveleng
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SPECTROSCOPY 7.9 TABLE 7.3 Critical
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SPECTROSCOPY 7.11 TABLE 7.4 X-Ray E
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SPECTROSCOPY 7.13 Emission line K 1
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SPECTROSCOPY 7.15 TABLE 7.7 Analyzi
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SPECTROSCOPY 7.17 TABLE 7.8 Mass Ab
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SPECTROSCOPY 7.19 TABLE 7.9 Electro
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SPECTROSCOPY 7.21 TABLE 7.11 Absorp
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SPECTROSCOPY 7.23 TABLE 7.13 Solven
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SPECTROSCOPY 7.25 7.3 FLUORESCENCE
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SPECTROSCOPY 7.27 TABLE 7.16 Fluore
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SPECTROSCOPY 7.29 TABLE 7.18 Detect
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SPECTROSCOPY 7.35 TABLE 7.19 Sensit
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SPECTROSCOPY 7.37 TABLE 7.19 Sensit
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SPECTROSCOPY 7.39 In terms of m ,
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SPECTROSCOPY 7.41 The ionization co
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SPECTROSCOPY 7.67 TABLE 7.28 Infrar
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7.69
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SPECTROSCOPY 7.71 7.6 RAMAN SPECTRO
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SPECTROSCOPY 7.73 TABLE 7.30 Raman
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SPECTROSCOPY 7.89 7.7 NUCLEAR MAGNE
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SPECTROSCOPY 7.91 TABLE 7.41 Nuclea
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SPECTROSCOPY 7.93 TABLE 7.42 Proton
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SPECTROSCOPY 7.95 TABLE 7.44 Estima
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SPECTROSCOPY 7.97 TABLE 7.46 Proton
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SPECTROSCOPY 7.99 TABLE 7.48 Solven
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SPECTROSCOPY 7.101 TABLE 7.49 Carbo
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SPECTROSCOPY 7.103 TABLE 7.51 Effec
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SPECTROSCOPY 7.107 TABLE 7.56 One-B
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SPECTROSCOPY 7.113 TABLE 7.63 Nitro
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SPECTROSCOPY 7.115 TABLE 7.64 Nitro
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SPECTROSCOPY 7.117 TABLE 7.69 Fluor
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SPECTROSCOPY 7.119 TABLE 7.72 Silic
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SPECTROSCOPY 7.121 TABLE 7.73 Phosp
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SPECTROSCOPY 7.123 TABLE 7.74 Phosp
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SPECTROSCOPY 7.125 when z 3 and y
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SPECTROSCOPY 7.127 Masses 19 and 31
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SPECTROSCOPY 7.129 TABLE 7.76 Conde
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SECTION 8 ELECTROLYTES, ELECTROMOTI
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ELECTROLYTES, EMF, AND CHEMICAL EQU
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TABLE 8.7 Proton Transfer Reactions
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TABLE 8.7 Proton Transfer Reactions
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TABLE 8.9 Selected Equilibrium Cons
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8.75 3-tert-Butylbenzoic acid (0) 4
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4-Hydroxyproline (1) 1.900 1C 1.850
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N-Propionylglycine (1) 3.728 3.723
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TABLE 8.14 National Bureau of Stand
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1 part 0.1% neutral red in alc. * V
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3,3-Dimethoxybenzidine dihydrochlor
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TABLE 8.35 Equivalent Conductivitie
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KCl 127.3 124.4 122.4 115.8 112.0 1
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NaIO 3 75.2 72.6 70.9 64.4 60.5 1
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9.2 SECTION 9 9.1 LINEAR FREE ENERG
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9.4 SECTION 9 TABLE 9.1 Hammett and
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9.6 SECTION 9 TABLE 9.1 Hammett and
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9.8 SECTION 9 TABLE 9.3 pK a and Rh
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10.2 SECTION 10 10.4.6 Polyacrylate
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10.4 SECTION 10 10.2 ADDITIVES TO P
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10.6 SECTION 10 injection molding.
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10.8 SECTION 10 10.3 FORMULAS AND K
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10.10 SECTION 10 Key properties of
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10.12 SECTION 10 10.3.8 Fluorocarbo
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10.14 SECTION 10 10.3.11 Phenolics
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10.16 SECTION 10 The resin has the
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10.18 SECTION 10 10.3.19 Polyuretha
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10.20 SECTION 10 10.3.22 Sulfones B
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TABLE 10.2 Properties of Commercial
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10.58 SECTION 10 10.4 FORMULAS AND
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10.60 SECTION 10 10.4.8 Polychlorop
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10.62 SECTION 10 Styrene-butadiene
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10.5 CHEMICAL RESISTANCE TABLE 10.4
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10.6 GAS PERMEABILITY TABLE 10.5 Ga
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TABLE 10.5 Gas Permeability Constan
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TABLE 10.7 Constants ofFats and Oil
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TABLE 10.8 Constants ofWaxes Wax Me
Page 1092:
SECTION 11 PRACTICAL LABORATORY INF
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11.4 SECTION 11 TABLE 11.2 Molecula
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11.6 SECTION 11 A saturated aqueous
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11.8 SECTION 11 TABLE 11.6 Relative
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11.10 SECTION 11 11.3 BOILING POINT
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11.12 SECTION 11 TABLE 11.8 Organic
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11.14 SECTION 11 TABLE 11.9 Molecul
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11.4 SEPARATION METHODS TABLE 11.11
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11.18 SECTION 11 TABLE 11.12 Solven
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11.20 SECTION 11 TABLE 11.12 Solven
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TABLE 11.13 McReynolds’ Constants
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TABLE 11.13 McReynolds’ Constants
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11.26 SECTION 11 11.4.1 McReynolds
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11.28 SECTION 11 11.4.2.2 Partition
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11.30 SECTION 11 FIGURE 11.2 Band a
Page 1123 and 1124:
11.32 SECTION 11 11.4.3 Ion-Exchang
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11.34 SECTION 11 TABLE 11.16 Guide
Page 1127 and 1128:
11.36 SECTION 11 TABLE 11.16 Guide
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11.38 SECTION 11 TABLE 11.18 Relati
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11.40 SECTION 11 distribution coeff
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11.42 SECTION 11 TABLE 11.19 Gravim
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11.68 SECTION 11 TABLE 11.20 Elemen
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11.70 SECTION 11 TABLE 11.22 Common
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11.72 SECTION 11 TABLE 11.25 Tolera
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11.74 SECTION 11 TABLE 11.26 Heatin
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11.76 SECTION 11 TABLE 11.28 Titrim
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11.84 SECTION 11 appears becomes le
Page 1177 and 1178:
11.86 SECTION 11 TABLE 11.29 Equati
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11.88 SECTION 11 TABLE 11.29 Equati
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11.90 SECTION 11 The more stable th
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11.92 SECTION 11 11.6.6.2.5 Buffer
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11.94 SECTION 11 TABLE 11.30 Standa
Page 1187 and 1188:
TABLE 11.32 Properties and Applicat
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11.98 SECTION 11 TABLE 11.36 Maskin
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11.100 SECTION 11 TABLE 11.37 Anion
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11.102 SECTION 11 TABLE 11.39 Amino
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11.104 SECTION 11 TABLE 11.44 Facto
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11.106 SECTION 11 11.7 LABORATORY S
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11.108 SECTION 11 TABLE 11.48 Stand
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11.110 SECTION 11 Alizarin yellow G
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11.112 SECTION 11 Bromchlorophenol
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11.114 SECTION 11 p-Ethoxychrysoidi
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11.116 SECTION 11 Mercurous nitrate
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11.118 SECTION 11 Potassium carbona
Page 1211 and 1212:
11.120 SECTION 11 until the ammoniu
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11.122 SECTION 11 TABLE 11.49 TLV C
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Page 1221 and 1222:
11.130 SECTION 11 TABLE 11.50 Chemi
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Page 1227 and 1228:
Page 1229 and 1230:
11.138 SECTION 11 of water which is
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TABLE 11.55 Thermoelectric Values i
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TABLE 11.56 Type B Thermocouples: P
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TABLE 11.58 Type J Thermocouples: I
Page 1237 and 1238:
TABLE 11.60 Type N Thermocouples: N
Page 1239 and 1240:
TABLE 11.62 Type S Thermocouples: P
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11.150 SECTION 11 11.11 CORRECTION
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Index Terms Links 2 Acid-base indic
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Index Terms Links 4 Alkynes, nomenc
Page 1247 and 1248:
Index Terms Links 6 Aurintricarboxy
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Index Terms Links 8 Boron-11 chemic
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Index Terms Links 10 Cellulose acet
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Index Terms Links 12 Collective ino
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Index Terms Links 14 Degree Fahrenh
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Index Terms Links 16 Electrical res
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Index Terms Links 18 Equivalent wei
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Index Terms Links 20 Fluorocarbon p
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Index Terms Links 22 Halogenated hy
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Index Terms Links 24 Impact strengt
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Index Terms Links 26 Kα 1 lines, m
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Index Terms Links 28 Melmine phenol
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Index Terms Links 30 Neon-neon bond
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Index Terms Links 32 One-tailed tes
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Index Terms Links 34 Physical chemi
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Index Terms Links 36 Polyolefin the
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Index Terms Links 38 Pyridine: bina
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Index Terms Links 40 Rho values: fo
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Index Terms Links 42 Single-bond ra
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Index Terms Links 44 Stereoisomers
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Index Terms Links 46 Tension, aqueo
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Index Terms Links 48 Triethylenetet
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Index Terms Links 50 Water (Cont.)
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