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Quantitative Chemical Analysis PDF

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1 Periodic Table 1 +1 20 H 14 ¤ 0.0888 Hydrogen 2 Atomic Number 26 +2,3 1.007 98 ±14 Boiling point (K) Common oxidation states 3 +1 4 +2 3135 Fe Melting point (K) 1809 1615 Li 2745 Be Atomic mass with uncertainty in last digit 454 1560 7.86 Example: Fe = 55.845 ± 0.002 Density at 300 K 0.53 1.85 (g /cm3 ) Iron Uncertainty in last digit is ±1 Lithium Beryllium 6.968 ±30 9.012 182 ±3 (Densitiesmarked 55.845 ±2 if no uncertainty is indicated with¤areat273K Numbers in parentheses are 11 +1 12 +2 and1barandthe longest-lived isotope unitsare g/L) 1156 Na 1363 Mg Atomic masses from 371 922 See Box 3-3 for explanation of atomic mass values used in this table 0.97 1.74 Sodium Magnesium 3 4 5 6 7 8 9 22.989 769 28 ±2 24.305 0 ±6 19 +1 20 +2 21 +3 22 +4,3 23 +5,4,3,2 24 +6,3,2 25 +7,6,4,2,3 26 +2,3 27 +2,3 1032 K 1757 Ca 3104 Sc 3562 Ti 3682 V 2945 Cr 2335 Mn 3135 Fe 3201 Co 336 1112 1812 1943 2175 2130 1517 1809 1768 0.86 1.55 3.0 4.50 5.8 7.19 7.43 7.86 8.90 Potassium Calcium Scandium Titanium Vanadium Chromium Manganese Iron Cobalt 39.098 3 40.078 ±4 44.955 912 ±6 47.867 50.941 5 51.996 1 ±6 54.938 045 ±5 55.845 ±2 58.933 195 ±5 37 +1 38 +2 39 +3 40 +4 41 +5,3 42 +6,5,4,3,2 43 +7 44 +2,3,4,6,8 45 +2,3,4 961 Rb 1650 Sr 3611 Y 4682 Zr 5017 Nb 4912 Mo 4538 4423 Ru 3970 Rh 313 1041 1799 2125 2740 2890 2473 2523 2236 1.53 2.6 4.5 6.49 8.55 10.2 11.5 12.2 12.4 Rubidium Strontium Yttrium Zirconium Niobium Molybdenum Technetium Ruthenium Rhodium 85.467 8 ±3 87.62 88.905 85 ±2 91.224 ±2 92.906 38 ±2 95.96 ±2 (98) 101.07 ±2 102.905 50 ±2 55 +1 56 +2 57 +3 72 +4 73 +5 74 +6,5,4,3,2 75 +7,6,4,2,-1 76 +2,3,4,6,8 77 +2,3,4,6 944 Cs 2171 Ba 3730 La 4876 Hf 5731 Ta 5828 W 5869 Re 5285 Os 4701 Ir 302 1002 1193 2500 3287 3680 3453 3300 2716 1.87 3.5 6.7 13.1 16.6 19.3 21.0 22.4 22.5 Cesium Barium Lanthanum Hafnium Tantalum Tungsten Rhenium Osmium Iridium 132.905 451 9 ±2 137.327 ±7 138.905 47 ±7 178.49 ±2 180.947 88 ±2 183.84 186.207 190.23 ±3 192.217 ±3 87 +1 88 +2 89 +3 104 105 106 107 108 109 950 Fr 1809 Ra 3473 Ac —– —– —– —– —– —– 300 973 1323 —– —– —– —– —– —– —– 5 10.07 —– —– —– —– —– —– Francium Radium Actinium Rutherfordium Dubnium Seaborgium Bohrium Hassium Meitnerium (223) (226) (227) (267) (268) (271) (270) (277) (276) 58 +3,4 59 +3,4 60 +3 61 +3 62 +3,2 63 +3,2 3699 Ce 3785 Pr 3341 Nd 3785 2064Sm1870 Eu 1071 1204 1289 1204 1345 1090 6.78 6.77 7.00 6.48 7.54 5.26 Cerium Praseodymium Neodymium Promethium Samarium Europium 140.116 140.907 65 ±2 144.242 ±3 (145) 150.36 ±2 151.964 90 +4 91 +5,4 92 +6,5,4,3 93 +6,5,4,3 94 +6,5,4,3 95 +6,5,4,3 5061 Th —– Pa 4407 U —– 3503 2880 2028 —– 1405 910 913 1268 11.7 15.4 18.9 20.4 19.8 13.6 Thorium Protactinium Uranium Neptunium Plutonium Americium 232.038 06 ±2 231.035 88 ±2 238.028 91 ±3 (237) (244) (243) 18 of the Elements 2 4.2 He 0.95 ¤ 0.176 Atomic Mass Interval 13 14 15 16 17 Helium H [1.007 84; 1.008 11] 4.002 602 ±2 Li [6.938; 6.997] 5 +3 6 ±4,2 7 ±3,5,4,2 8 -2 9 -1 10 B [10.806; 10.821] C [12.009 6; 12.011 6] 42237050 B 44417000 C 7673 N 9500 O 8553 F 2275 Ne N [14.006 43; 14.007 28] 2.34 2.62 1.234¤ 1.410¤ 1.674¤ 0.889¤ O [15.999 03; 15.999 77] Boron Carbon Nitrogen Oxygen Fluorine Neon Si [28.084; 28.086] 10.814 ±8 12.010 6 ±10 14.006 8 ±4 15.999 4 ±4 18.998 403 2 ±5 20.179 7 ±6 S [32.059; 32.076] 13 +3 14 +4 15 ±3,5,4 16 ±2,4,6 17 ±1,3,5,7 18 Cl [35.446; 35.457] Tl [204.382; 204.385] 2793 Al 3540 Si 550 P 718 S 239 Cl 87 Ar 933 1685 317 388 172 84 ¤ ¤ 2.70 2.33 1.82 2.07 3.12 1.760 10 11 12 Aluminum Silicon Phosphorus Sulfur Chlorine Argon 26.981 538 6 ±8 28.085 30.973 762 ±2 32.068 ±9 35.452 ±6 39.948 28 +2,3 29 +2,1 30 +2 31 +3 32 +4 33 ±3,5 34 -2,4,6 35 ±1,5 36 3187Ni 2836 Cu 1180 Zn 2478 Ga 3107 Ge 876 As 958 Se 332 Br 120 Kr 1726 1358 693 303 1210 —– 494 266 116 ¤ 8.90 8.96 7.14 5.91 5.32 5.72 4.80 3.12 3.69 Nickel Copper Zinc Gallium Germanium Arsenic Selenium Bromine Krypton 58.693 4 ±4 63.546 ±3 65.38 ±2 69.723 72.63 74.921 60 ±2 78.96 ±3 79.904 83.798 ±2 46 +2,4 47 +1 48 +2 49 +3 50 +4,2 51 ±3,5 52 -2,4,6 53 ±1,5,7 54 3237 Pd 2436 Ag 1040 Cd 2346 In 2876 Sn 1860 Sb 1261 Te 458 I 165 Xe 1825 1234 594 430 505 904 723 387 161 12.0 10.5 8.65 7.31 7.30 6.68 6.24 4.92 5.78¤ Palladium Silver Cadmium Indium Tin Antimony Tellurium Iodine Xenon 106.42 107.868 2 ±2 112.411 ±8 114.818 ±3 118.710 ±7 121.760 127.60 ±3 126.904 47 ±3 131.293 ±6 78 +2,4 79 +3,1 80 +2,1 81 +3,1 82 +4,2 83 +3,5 84 +4,2 85 ±1,3,5,7 86 4100 Pt 3130 Au 630 Hg 1746 Tl 2023 Pb 1837 Bi 1235 Po 610 At 211 Rn 2045 1338 234 577 601 545 527 575 202 ¤ 21.4 19.3 13.5 11.85 11.4 9.8 9.4 —– 9.78 Platinum Gold Mercury Thallium Lead Bismuth Polonium Astatine Radon 195.084 ±9 196.966 569 ±4 200.59 ±2 204.384 ±2 207.2 208.980 40 (209) (210) (222) 110 111 112 113 114 115 116 117 118 —– —– —– —– —– —– —– —– —– —– —– —– —– —– —– Darmstadtium Roentgenium Copernicium Flerovium Livermorium (281) (280) (285) (284) (289) (288) (293) (294) (294) 64 +3 65 +3,4 66 +3 67 +3 68 +3 69 +3,2 70 +3,2 71 +3 3539 Gd 3496 Tb 2835 Dy 2968 Ho 3136 Er 2220 Tm 1467 Yb 3668 Lu 1585 1630 1682 1743 1795 1818 1097 1936 7.89 8.27 8.54 8.80 9.05 9.33 6.98 9.84 Gadolinium Terbium Dysprosium Holmium Erbium Thulium Ytterbium Lutetium 157.25 ±3 158.925 35 ±2 162.500 164.930 32 ±2 167.259 ±3 168.934 21 ±2 173.054 ±5 174.966 8 96 +3 97 +4,3 98 +3 99 100 101 102 103 —– —– —– —– —– —– —– —– 1340 —– 900 —– —– —– —– —– 13.5 —– —– —– —– —– —– —– Curium Berkelium Californium Einsteinium Fermium Mendelevium Nobelium Lawrencium (247) (247) (251) (252) (257) (260) (259) (262) Quantitative Chemical Analysis [© 1963 by Sempé and Éditions Denoël.] Quantitative Chemical Analysis Ninth Edition Daniel C. Harris Michelson Laboratory, China Lake, California Charles A. Lucy Contributing Author University of Alberta, Edmonton, Alberta Publisher: Kate Parker Senior Acquisitions Editor: Lauren Schultz Development Editors: Brittany Murphy, Anna Bristow Editorial Assistant: Shannon Moloney Photo Editor: Cecilia Varas Photo Researcher: Richard Fox Cover and Text Designer: Vicki Tomaselli Project Editor: J. Carey Publishing Service Manuscript Editor: Marjorie Anderson Illustrations: Network Graphics, Precision Graphics Illustration Coordinators: Matthew McAdams, Janice Donnola Production Coordinator: Julia DeRosa Composition and Text Layout: Aptara®, Inc. Printing and Binding: RR Donnelley Front Cover/Title Page Photo Credit: © The Natural History Museum/The Image Works Back Cover Photo Credit: Pascal Goetgheluck/Science Source Library of Congress Control Number: 2014950382 ISBN-13: 978-1-4641-3538-5 ISBN-10: 1-4641-3538-X © 2016, 2010, 2007, 2003 by W. H. Freeman and Company All rights reserved Printed in the United States of America First Printing W. H. Freeman and Company 41 Madison Avenue New York, NY 10010 www.whfreeman.com BRIEF CONTENTS 0 The Analytical Process 1 17 Electroanalytical Techniques 395 1 Chemical Measurements 10 18 Fundamentals of Spectrophotometry 432 2 Tools of the Trade 24 19 Applications of 3 Experimental Error 46 Spectrophotometry 461 4 Statistics 64 20 Spectrophotometers 491 5 Quality Assurance and 21 Atomic Spectroscopy 529 Calibration Methods 95 22 Mass Spectrometry 559 6 Chemical Equilibrium 119 23 Introduction to Analytical 7 Let the Titrations Begin 145 Separations 604 8 Activity and the Systematic 24 Gas Chromatography 633 Treatment of Equilibrium 161 25 High-Performance Liquid 9 Monoprotic Acid-Base Chromatography 667 Equilibria 187 26 Chromatographic Methods 10 Polyprotic Acid-Base and Capillary Electrophoresis 713 Equilibria 211 27 Gravimetric and Combustion 11 Acid-Base Titrations 233 Analysis 751 12 EDTA Titrations 265 28 Sample Preparation 771 13 Advanced Topics in Equilibrium 287 Notes and References NR1 Glossary GL1 14 Fundamentals of Electrochemistry 306 Appendixes AP1 15 Electrodes and Solutions to Exercises S1 Potentiometry 338 Answers to Problems AN1 16 Redox Titrations 374 Index I1 v this  page  left  intentionally  blank CONTENTS Connections: Maria Goeppert Mayer xiv 4 Statistics 64 Preface xv Is My Red Blood Cell Count High Today? 64 0 The Analytical Process 1 4-1 Gaussian Distribution 65 4-2 Comparison of Standard Deviations How Does a Home Pregnancy Test Work? 1 with the F Test 69 0-1 The Analytical Chemist’s Job 2 BOX 4-1 C hoosing the Null Hypothesis in 0-2 General Steps in a Chemical Analysis 8 Epidemiology 71 BOX 0-1 Constructing a Representative Sample 8 4-3 Confi dence Intervals 71 4-4 Comparison of Means with Student’s t 74 1 Chemical Measurements 10 4-5 t Tests with a Spreadsheet 79 4-6 Grubbs Test for an Outlier 80 Biochemical Measurements with a Nanoelectrode 10 4-7 The Method of Least Squares 81 1-1 SI Units 10 4-8 Calibration Curves 84 1-2 Chemical Concentrations 13 1-3 Preparing Solutions 16 BOX 4-2 U sing a Nonlinear Calibration Curve 86 4-9 A Spreadsheet for Least Squares 87 1-4 Stoichiometry Calculations for Gravimetric Analysis 18 5 Quality Assurance and 2 Tools of the Trade 24 Calibration Methods 95 Quartz Crystal Microbalance Measures The Need for Quality Assurance 95 One Base Added to DNA 24 5-1 Basics of Quality Assurance 96 2-1 Safe, Ethical Handling of Chemicals BOX 5-1 M edical Implication of False and Waste 25 Positive Results 97 2-2 The Lab Notebook 25 BOX 5-2 Control Charts 99 2-3 Analytical Balance 26 5-2 Method Validation 100 2-4 Burets 29 BOX 5-3 T he Horwitz Trumpet: Variation in 2-5 Volumetric Flasks 31 Interlaboratory Precision 104 2-6 Pipets and Syringes 32 5-3 Standard Addition 106 2-7 Filtration 36 5-4 Internal Standards 109 2-8 Drying 37 2-9 Calibration of Volumetric Glassware 38 6 Chemical Equilibrium 119 2-10 Introduction to Microsoft Excel® 39 2-11 Graphing with Microsoft Excel 42 Chemical Equilibrium in the Environment 119 REFERENCE PROCEDURE Calibrating a 50-mL Buret 45 6-1 The Equilibrium Constant 120 6-2 Equilibrium and Thermodynamics 121 3 Experimental Error 46 6-3 Solubility Product 124 Experimental Error 46 BOX 6-1 S olubility Is Governed by More Than the Solubility Product 125 3-1 Signifi cant Figures 46 3-2 Signifi cant Figures in Arithmetic 47 DEMONSTRATION 6-1 Common Ion Effect 125 6-4 Complex Formation 126 3-3 Types of Error 49 BOX 3-1 C ase Study in Ethics: Systematic Error BOX 6-2 Notation for Formation Constants 127 in Ozone Measurement 50 6-5 Protic Acids and Bases 129 BOX 3-2 Certifi ed Reference Materials 51 6-6 pH 132 6-7 Strengths of Acids and Bases 133 3-4 Propagation of Uncertainty from Random Error 52 DEMONSTRATION 6-2 The HCl Fountain 134 3-5 Propagation of Uncertainty from BOX 6-3 T he Strange Behavior of Systematic Error 58 Hydrofl uoric Acid 135 BOX 3-3 Atomic Masses of the Elements 59 BOX 6-4 Carbonic Acid 137 vii

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