preface to fifteenth edition

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2.128 SECTION 2 Example 10 Six samples from a bulk chemical shipment averaged 77.50% active ingredient with s 1.45%. The manufacturer claimed 80.00%. Can this claim be supported? A one-tailed test is required since the alternative hypothesis states that the population parameter is equal to or less than the hypothesized value. 77.50 80.00 t p6 1 3.86 1.45 Since t 0.95 2.01, and t 0.99 3.36, the hypothesis is rejected at both the 0.05 and the 0.01 levels of significance. It is extremely unlikely that the claim is justified. 2.3.8 The Chi-square ( 2 ) Distribution The 2 distribution describes the behavior of variances. Actually there is not a single 2 distribution but a whole set of distributions. Each distribution depends upon the number of degrees of freedom (designated variously as df, d.f., or f ) in that distribution. Table 2.28 is laid out so that the horizontal axis is labeled with probability levels, while the vertical axis is listed in descending order of increasing number of degrees of freedom. The entries increase both as you read down and across the table. Although Table 2.28 does not display the values for the mid-range of the distributions, at the 50% point of each distribution, the expected value of 2 is equal to the degrees of freedom. Estimates of the variance are uncertain when based only on a few degrees of freedom. With the 10 samples in Example 11, the standard deviation can vary by a large factor purely by random chance alone. Even 31 samples gives a spread of standard deviation of 2.6 at the 95% confidence level. Understanding the 2 distribution allows us to calculate the expected values of random variables that are normally and independently distributed. In least squares multiple regression, or in calibration work in general, there is a basic assumption that the error in the response variable is random and normally distributed, with a variance that follows a 2 distribution. Confidence limits for an estimate of the variance may be calculated as follows. For each group of samples a standard deviation is calculated. These estimates of possess a distribution called the 2 distribution: s 2 2 (2.15) 2 /df The upper and lower confidence limits for the standard deviation are obtained by dividing (N 1)s 2 by two entries taken from Table 2.28. The estimate of variance at the 90% confidence limits is for use in the entries 2 and 2 0.05 0.95 (for 5% and 95%) with N degrees of freedom. Example 11 The variance obtained for 10 samples is (0.65) 2 . 2 is known to be (0.75) 2 .How reliable is s 2 as an estimate of 2 ? 2 2 s (N 1) s (N 1) 2 2 2 0.975 0.025 (0.65) 2 (10 1) (0.65) 2 (10 1) 2 19.02 2.70 2 0.20 1.43 Thus, only one time in 40 will 9s 2 / 2 be less than 2.70 by chance alone. Similarly, only one time
GENERAL INFORMATION, CONVERSION TABLES, AND MATHEMATICS 2.129 TABLE 2.28 Percentile Values for the Chi-square ( 2 ) Distribution 2 df 2 0.995 2 0.99 2 0.975 2 0.95 2 0.90 2 0.75 2 0.50 2 0.25 2 0.10 2 0.05 2 0.025 2 0.01 0.005 1 7.88 6.63 5.02 3.84 2.71 1.32 0.455 0.102 0.0158 0.0039 0.0010 0.0002 0.0000 2 10.6 9.21 7.38 5.99 4.61 2.77 1.39 0.575 0.211 0.103 0.0506 0.0201 0.0100 3 12.8 11.3 9.35 7.81 6.25 4.11 2.37 1.21 0.584 0.352 0.216 0.115 0.072 4 14.9 13.3 11.1 9.49 7.78 5.39 3.36 1.92 1.06 0.711 0.484 0.297 0.207 5 16.7 15.1 12.8 11.1 9.24 6.63 4.35 2.67 1.61 1.15 0.831 0.554 0.412 6 18.5 16.8 14.4 12.6 10.6 7.84 5.35 3.45 2.20 1.64 1.24 0.872 0.676 7 20.3 18.5 16.0 14.1 12.0 9.04 6.35 4.25 2.83 2.17 1.69 1.24 0.989 8 22.0 20.1 17.5 15.5 13.4 10.2 7.34 5.07 3.49 2.73 2.18 1.65 1.34 9 23.6 21.7 19.0 16.9 14.7 11.4 8.34 5.90 4.17 3.33 2.70 2.09 1.73 10 25.2 23.2 20.5 18.3 16.0 12.5 9.34 6.74 4.87 3.94 3.25 2.56 2.16 11 26.8 24.7 21.9 19.7 17.3 13.7 10.3 7.58 5.58 4.57 3.82 3.05 2.60 12 28.3 26.2 23.3 21.0 18.5 14.8 11.3 8.44 6.30 5.23 4.40 3.57 3.07 13 29.8 27.7 24.7 22.4 19.8 16.0 12.3 9.30 7.04 5.89 5.01 4.11 3.57 14 31.3 29.1 26.1 23.7 21.1 17.1 13.3 10.2 7.79 6.57 5.63 4.66 4.07 15 32.8 30.6 27.5 25.0 22.3 18.2 14.3 11.0 8.55 7.26 6.26 5.23 4.60 16 34.3 32.0 28.8 26.3 23.5 19.4 15.3 11.9 9.31 7.96 6.91 5.81 5.14 17 35.7 33.4 30.2 27.6 24.8 20.5 16.3 12.8 10.1 8.67 7.56 6.41 5.70 18 37.2 34.8 31.5 28.9 26.0 21.6 17.3 13.7 10.9 9.39 8.23 7.01 6.26 19 38.6 36.2 32.9 30.1 27.2 22.7 18.3 14.6 11.7 10.1 8.91 7.63 6.84 20 40.0 37.6 34.2 31.4 28.4 23.8 19.3 15.5 12.4 10.9 9.59 8.26 7.43 21 41.4 38.9 35.5 32.7 29.6 24.9 20.3 16.3 13.2 11.6 10.3 8.90 8.03 22 42.8 40.3 36.8 33.9 30.8 26.0 21.3 17.2 14.0 12.3 11.0 9.54 8.64 23 44.2 41.6 38.1 35.2 32.0 27.1 22.3 18.1 14.8 13.1 11.7 10.2 9.26 24 45.6 43.0 39.4 36.4 33.2 28.2 23.3 19.0 15.7 13.8 12.4 10.9 9.89 25 46.9 44.3 40.6 37.7 34.4 29.3 24.3 19.9 16.5 14.6 13.1 11.5 10.5 26 48.3 45.6 41.9 38.9 35.6 30.4 25.3 20.8 17.3 15.4 13.8 12.2 11.2 27 49.6 47.0 43.2 40.1 36.7 31.5 26.3 21.7 18.1 16.2 14.6 12.9 11.8 28 51.0 48.3 44.5 41.3 37.9 32.6 27.3 22.7 18.9 16.9 15.39 13.6 12.5 29 52.3 49.6 45.7 42.6 39.1 33.7 28.3 23.6 19.8 17.7 16.0 14.3 13.1 30 53.7 50.9 47.0 43.8 40.3 34.8 29.3 24.5 20.6 18.5 16.8 15.0 13.8 40 66.8 63.7 59.3 55.8 51.8 45.6 39.3 33.7 29.1 26.5 24.4 22.2 20.7 50 79.5 76.2 71.4 67.5 63.2 56.3 49.3 42.9 37.7 34.8 32.4 29.7 28.0 60 92.0 88.4 83.3 79.1 74.4 67.0 59.3 52.3 46.5 43.2 40.5 37.5 35.5 70 104.2 100.4 95.0 90.5 85.5 77.6 69.3 61.7 55.3 51.7 48.8 45.4 43.3 80 116.3 112.3 106.6 101.9 96.6 88.1 79.3 71.1 64.3 60.4 57.2 53.5 51.2 90 128.3 124.1 118.1 113.1 107.6 98.6 89.3 80.6 73.3 69.1 65.6 61.8 59.2 100 140.2 135.8 129.6 124.3 118.5 109.1 99.3 90.1 82.4 77.9 74.2 70.1 67.3 in 40 will 9s 2 / 2 be greater than 19.02. Consequently, it is not unlikely that s 2 is a reliable estimate of 2 . Stated differently: 2 2 2 Upper limit: 9s /2.7 3.3s Lower limit: 2 9s 2/19.02 0.48s2 Ten measurements give an estimate of 2 that may be as much as 3.3 times or only about one-half the true variance.
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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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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
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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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