preface to fifteenth edition

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2.118 SECTION 2 2.3.2 Errors in Quantitative Analysis Two broad classes of errors may be recognized. The first class, determinate or systematic errors, is composed of errors that can be assigned to definite causes, even though the cause may not have been located. Such errors are characterized by being unidirectional. The magnitude may be constant from sample to sample, proportional to sample size, or variable in a more complex way. An example is the error caused by weighing a hygroscopic sample. This error is always positive in sign; it increases with sample size but varies depending on the time required for weighing, with humidity and temperature. An example of a negative systematic error is that caused by solubility losses of a precipitate. The second class, indeterminate or random errors, is brought about by the effects of uncontrolled variables. Truly random errors are as likely to cause high as low results, and a small random error is much more probable than a large one. By making the observation coarse enough, random errors would cease to exist. Every observation would give the same result, but the result would be less precise than the average of a number of finer observations with random scatter. The precision of a result is its reproducibility; the accuracy is its nearness to the truth. A systematic error causes a loss of accuracy, and it may or may not impair the precision depending upon whether the error is constant or variable. Random errors cause a lowering of reproducibility, but by making sufficient observations it is possible to overcome the scatter within limits so that the accuracy may not necessarily be affected. Statistical treatment can properly be applied only to random errors. 2.3.3 Representation of Sets of Data Raw data are collected observations that have not been organized numerically. An average is a value that is typical or representative of a set of data. Several averages can be defined, the most common being the arithmetic mean (or briefly, the mean), the median, the mode, and the geometric mean. The mean of a set of N numbers, x 1 , x 2 , x 3 ,...,x N , is denoted by x and is defined as: x x x ··· x 1 2 3 N x (2.4) N It is an estimation of the unknown true value of an infinite population. We can also define the sample variance s 2 as follows: N i i1 (x x) 2 2 s N 1 (2.5) The values of x and s 2 vary from sample set to sample set. However, as N increases, they may be expected to become more and more stable. Their limiting values, for very large N, are numbers characteristic of the frequency distribution, and are referred to as the population mean and the population variance, respectively. The median of a set of numbers arranged in order of magnitude is the middle value or the arithmetic mean of the two middle values. The median allows inclusion of all data in a set without undue influence from outlying values; it is preferable to the mean for small sets of data. The mode of a set of numbers is that value which occurs with the greatest frequency (the most common value). The mode may not exist, and even if it does exist it may not be unique. The empirical relation that exists between the mean, the mode, and the median for unimodal frequency curves which are moderately asymmetrical is: Mean mode 3(mean median) (2.6)
GENERAL INFORMATION, CONVERSION TABLES, AND MATHEMATICS 2.119 The geometric mean of a set of N numbers is the Nth root of the product of the numbers: N pxxx 1 2 3...x N (2.7) The root mean square (RMS) or quadratic mean of a set of numbers is defined by: N 2 2 i q i1 2.3.4 The Normal Distribution of Measurements RMS px x /N (2.8) The normal distribution of measurements (or the normal law of error) is the fundamental starting point for analysis of data. When a large number of measurements are made, the individual measurements are not all identical and equal to the accepted value , which is the mean of an infinite population or universe of data, but are scattered about , owing to random error. If the magnitude of any single measurement is the abscissa and the relative frequencies (i.e., the probability) of occurrence of different-sized measurements are the ordinate, the smooth curve drawn through the points (Fig. 2.10) is the normal or Gaussian distribution curve (also the error curve or probability curve). The term error curve arises when one considers the distribution of errors (x ) about the true value. FIGURE 2.10 The Normal Distribution Curve.
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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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2.66 SECTION 2 2.1.1 Conversion of
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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 7.99 TABLE 7.48 Solven
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SPECTROSCOPY 7.101 TABLE 7.49 Carbo
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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
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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
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11.32 SECTION 11 11.4.3 Ion-Exchang
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11.34 SECTION 11 TABLE 11.16 Guide
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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
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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
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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
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11.120 SECTION 11 until the ammoniu
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11.122 SECTION 11 TABLE 11.49 TLV C
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11.130 SECTION 11 TABLE 11.50 Chemi
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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
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TABLE 11.60 Type N Thermocouples: N
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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
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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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