preface to fifteenth edition

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TABLE 2.29 F Distribution (Continued) Upper 1% points (F ) 0.99 Degrees of freedom for denominator Degrees of freedom for numerator 1 2 3 4 5 6 7 8 9 10 12 15 20 24 30 40 60 120 1 4052 5000 5403 5625 5764 5859 5928 5982 6023 6056 6106 6157 6209 6235 6261 6287 6313 6339 6366 2 98.5 99.0 99.2 99.2 99.3 99.3 99.4 99.4 99.4 99.4 99.4 99.4 99.4 99.5 99.5 99.5 99.5 99.5 99.5 3 34.1 30.8 29.5 28.7 28.2 27.9 27.7 27.5 27.3 27.2 27.1 26.9 26.7 26.6 26.5 26.4 26.3 26.2 26.1 4 21.2 18.0 16.7 16.0 15.5 15.2 15.0 14.8 14.7 14.5 14.4 14.2 14.0 13.9 13.8 13.7 13.7 13.6 13.5 5 16.3 13.3 12.1 11.4 11.0 10.7 10.5 10.3 10.2 10.1 9.89 9.72 9.55 9.47 9.38 9.29 9.20 9.11 9.02 6 13.7 10.9 9.78 9.15 8.75 8.47 8.26 8.10 7.98 7.87 7.72 7.56 7.40 7.31 7.23 7.14 7.06 6.97 6.88 7 12.2 9.55 8.45 7.85 7.46 7.19 6.99 6.84 6.72 6.62 6.47 6.31 6.16 6.07 5.99 5.91 5.82 5.74 5.65 8 11.3 8.65 7.59 7.01 6.63 6.37 6.18 6.03 5.91 5.81 5.67 5.52 5.36 5.28 5.20 5.12 5.03 4.95 4.86 9 10.6 8.02 6.99 6.42 6.06 5.80 5.61 5.47 5.35 5.26 5.11 4.96 4.81 4.73 4.65 4.57 4.48 4.40 4.31 10 10.0 7.56 6.55 5.99 5.64 5.39 5.20 5.06 4.94 4.85 4.71 4.56 4.41 4.33 4.25 4.17 4.08 4.00 3.91 11 9.65 7.21 6.22 5.67 5.32 5.07 4.89 4.74 4.63 4.54 4.40 4.25 4.10 4.02 3.94 3.86 3.78 3.69 3.60 12 9.33 6.93 5.95 5.41 5.06 4.82 4.64 4.50 4.39 4.30 4.16 4.01 3.86 3.78 3.70 3.62 3.54 3.45 3.36 13 9.07 6.70 5.74 5.21 4.86 4.62 4.44 4.30 4.19 4.10 3.96 3.82 3.66 3.59 3.51 3.43 3.34 3.25 3.17 14 8.86 6.51 5.56 5.04 4.70 4.46 4.28 4.14 4.03 3.94 3.80 3.66 3.51 3.43 3.35 3.27 3.18 3.09 3.00 15 8.68 6.36 5.42 4.89 4.56 4.32 4.14 4.00 3.89 3.80 3.67 3.52 3.37 3.29 3.21 3.13 3.05 2.96 2.87 16 8.53 6.23 5.29 4.77 4.44 4.20 4.03 3.89 3.78 3.69 3.55 3.41 3.26 3.18 3.10 3.02 2.93 2.84 2.75 17 8.40 6.11 5.19 4.67 4.34 4.10 3.93 3.79 3.68 3.59 3.46 3.31 3.16 3.08 3.00 2.92 2.83 2.75 2.65 18 8.29 6.01 5.09 4.58 4.25 4.01 3.84 3.71 3.60 3.51 3.37 3.23 3.08 3.00 2.92 2.84 2.75 2.66 2.57 19 8.19 5.93 5.01 4.50 4.17 3.94 3.77 3.63 3.52 3.43 3.30 3.15 3.00 2.92 2.84 2.76 2.67 2.58 2.49 20 8.10 5.85 4.94 4.43 4.10 3.87 3.70 3.56 3.46 3.37 3.23 3.09 2.94 2.86 2.78 2.69 2.61 2.52 2.42 21 8.02 5.78 4.87 4.37 4.04 3.81 3.64 3.51 3.40 3.31 3.17 3.03 2.88 2.80 2.72 2.64 2.55 2.46 2.36 22 7.95 5.72 4.82 4.31 3.99 3.76 3.59 3.45 3.35 3.26 3.12 2.98 2.83 2.75 2.67 2.58 2.50 2.40 2.31 23 7.88 5.66 4.76 4.26 3.94 3.71 3.54 3.41 3.30 3.21 3.07 2.93 2.78 2.70 2.62 2.54 2.45 2.35 2.26 24 7.82 5.61 4.72 4.22 3.90 3.67 3.50 3.36 3.26 3.17 3.03 2.89 2.74 2.66 2.58 2.49 2.40 2.31 2.21 25 7.77 5.57 4.68 4.18 3.86 3.63 3.46 3.32 3.22 3.13 2.99 2.85 2.70 2.62 2.53 2.45 2.36 2.27 2.17 30 7.56 5.39 4.51 4.02 3.70 3.47 3.30 3.17 3.07 2.98 2.84 2.70 2.55 2.47 2.39 2.30 2.21 2.11 2.01 40 7.31 5.18 4.31 3.83 3.51 3.29 3.12 2.99 2.89 2.80 2.66 2.52 2.37 2.29 2.20 2.11 2.02 1.92 1.80 60 7.08 4.98 4.13 3.65 3.34 3.12 2.95 2.82 2.72 2.63 2.50 2.35 2.20 2.12 2.03 1.94 1.84 1.73 1.60 120 6.85 4.79 3.95 3.48 3.17 2.96 2.79 2.66 2.56 2.47 2.34 2.19 2.03 1.95 1.86 1.76 1.66 1.53 1.38 6.63 4.61 3.78 3.32 3.02 2.80 2.64 2.51 2.41 2.32 2.18 2.04 1.88 1.79 1.70 1.59 1.47 1.32 1.00 2.132
GENERAL INFORMATION, CONVERSION TABLES, AND MATHEMATICS 2.133 2.3.10 Curve Fitting Very often in practice a relationship is found (or known) to exist between two or more variables. It is frequently desirable to express this relationship in mathematical form by determining an equation connecting the variables. The first step is the collection of data showing corresponding values of the variables under consideration. From a scatter diagram, a plot of Y (ordinate) versus X (abscissa), it is often possible to visualize a smooth curve approximating the data. For purposes of reference, several types of approximating curves and their equations are listed. All letters other than X and Y represent constants. 1. Y a 0 a 1 X Straight line 2. Y a 0 a 1 X a 2 X 2 Parabola or quadratic curve 3. Y a 0 a 1 X a 2 X 2 a 3 X 3 Cubic curve 4. Y a 0 a 1 X a 2 · · · a n X n nth degree curve As other possible equations (among many) used in practice, these may be mentioned: o 5. Y (a 0 a 1 X) 1 r 1/Y a 0 a 1 X 6. Y ab X or log Y log a (log b) X 7. Y aX b or log Y log a b log X 8. Y ab X g 9. Y aX n g Hyperbola Exponential curve Geometric curve Modified exponential curve Modified geometric curve When we draw a scatter plot of all X versus Y data, we see that some sort of shape can be described by the data points. From the scatter plot we can take a basic guess as to which type of curve will best describe the X9Y relationship. To aid in the decision process, it is helpful to obtain scatter plots of transformed variables. For example, if a scatter plot of log Y versus X shows a linear relationship, the equation has the form of number 6 above, while if log Y versus log X shows a linear relationship, the equation has the form of number 7. To facilitate this we frequently employ special graph paper for which one or both scales are calibrated logarithmically. These are referred to as semilog or log-log graph paper, respectively. 2.3.10.1 The Least Squares or Best-fit Line. The simplest type of approximating curve is a straight line, the equation of which can be written as in form number 1 above. It is customary to employ the above definition when X is the independent variable and Y is the dependent variable. To avoid individual judgment in constructing any approximating curve to fit sets of data, it is necessary to agree on a definition of a best-fit line. One could construct what would be considered the best-fit line through the plotted pairs of data points. For a given value of X 1 , there will be a difference D 1 between the value Y 1 and the constituent value Ŷ as determined by the calibration model. Since we are assuming that all the errors are in Y, we are seeking the best-fit line that minimizes the deviations in the Y direction between the experimental points and the calculated line. This condition will be met when the sum of squares for the differences, called residuals (or the sum of squares due to error), N ˆ 2 2 2 2 i i 1 2 N i1 (Y Y ) (D D ··· D ) is the least possible value when compared to all other possible lines fitted to that data. If the sum of squares for residuals is equal to zero, the calibration line is a perfect fit to the data. With a
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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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2.68 SECTION 2 Oleometer. A hydrome
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2.70 SECTION 2 Example 3. 25 1.2500
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2.72 SECTION 2 TABLE 2.9 Barometer
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2.74 SECTION 2 TABLE 2.9 Barometer
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2.76 SECTION 2 TABLE 2.10 Barometri
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2.78 SECTION 2 TABLE 2.12 Reduction
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2.80 SECTION 2 TABLE 2.12 Reduction
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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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Page 964 and 965:
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
Page 1008 and 1009:
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
Page 1105 and 1106:
11.14 SECTION 11 TABLE 11.9 Molecul
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11.4 SEPARATION METHODS TABLE 11.11
Page 1109 and 1110:
11.18 SECTION 11 TABLE 11.12 Solven
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11.20 SECTION 11 TABLE 11.12 Solven
Page 1113 and 1114:
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
Page 1125 and 1126:
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
Page 1163 and 1164:
11.72 SECTION 11 TABLE 11.25 Tolera
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11.74 SECTION 11 TABLE 11.26 Heatin
Page 1167 and 1168:
11.76 SECTION 11 TABLE 11.28 Titrim
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Page 1175 and 1176:
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
Page 1183 and 1184:
11.92 SECTION 11 11.6.6.2.5 Buffer
Page 1185 and 1186:
11.94 SECTION 11 TABLE 11.30 Standa
Page 1187 and 1188:
TABLE 11.32 Properties and Applicat
Page 1189 and 1190:
11.98 SECTION 11 TABLE 11.36 Maskin
Page 1191 and 1192:
11.100 SECTION 11 TABLE 11.37 Anion
Page 1193 and 1194:
11.102 SECTION 11 TABLE 11.39 Amino
Page 1195 and 1196:
11.104 SECTION 11 TABLE 11.44 Facto
Page 1197 and 1198:
11.106 SECTION 11 11.7 LABORATORY S
Page 1199 and 1200:
11.108 SECTION 11 TABLE 11.48 Stand
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11.110 SECTION 11 Alizarin yellow G
Page 1203 and 1204:
11.112 SECTION 11 Bromchlorophenol
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11.114 SECTION 11 p-Ethoxychrysoidi
Page 1207 and 1208:
11.116 SECTION 11 Mercurous nitrate
Page 1209 and 1210:
11.118 SECTION 11 Potassium carbona
Page 1211 and 1212:
11.120 SECTION 11 until the ammoniu
Page 1213 and 1214:
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
Page 1243 and 1244:
Index Terms Links 2 Acid-base indic
Page 1245 and 1246:
Index Terms Links 4 Alkynes, nomenc
Page 1247 and 1248:
Index Terms Links 6 Aurintricarboxy
Page 1249 and 1250:
Index Terms Links 8 Boron-11 chemic
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Index Terms Links 10 Cellulose acet
Page 1253 and 1254:
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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