ode studietsh ea tmosphereaen,s and M of oc and earth rn , paetay knowld eo f l n r systems demand a sound g basic chemical Thibso ok o esa celeacro,n cise principles. p id review oft hesen es rr evlattiotn hgae t mosphere. p i ipl particularly , Stdentwrsi cth r a trainiincn hge mistry little fo l work tuhroutghheh ptesa mndn umeroeuxse rciwcsioent sh inb ook c r this befoarcec easstihnesg t andaterxdsi nt hea tmospheric and environmsecniteanlc es. t Basic Physi l Chemistry for the Atmospheric Sciences covetrhsfe u cnadamenotaelt so fh em equilibria, n p c i l chemitchaelr modycnachmmicasl, kicaneotiocs, s ic l i chemistry, aciadn db asceh emisotcxreiyd,a tion-rreeudtaucnc ttiaionondns , photochemisOtvreyr. exercisecso ntaiwnietdht ihne 160 texitn,c ludinnugm eriecxaelr carise soelsv etdh tee xatn d 50 in exercisesr eadteorw orko nw ithhi natnds solutions 112 for the provideadna ppendix. in is Basic Physical Chemistry for the Atmospheric Sciences writtbeyan n i nternayt kinoonwaanlt lmospheric science researcherc essu textbaouokt hoWrh.e thuesre idn and c f l ani ntrodusccultaoisrnscy h emisotrfr oysr e lf-instruction as a textth,ib so ok an resource supplementary will be invaluable forb roorda nges dn int heea rtshc ien.ces of a tu e ts design by Adventure House, Cover NYC CAMBRIDGE UNIVERSITY PRE�� studies of the atmosphere oceans, and earth and planetary Modern , demand a sound knowledge of basic chemical principles. This systems pro ides a clear, concise review of these principles, particularly book v to the atmosphere. Students with little formal training in relating can work through the chapters and numerous exercises chemistry this book before accessing the standard texts in the atmospheric within environmental sciences and . Physical Chemistry for the Atmospheric Sciences covers the concepts of chemical equilibria, chemical thermodynam funBdaasmice ntal chemical kinetics, solution chemistry, acid and base chemistry, ics, oxidation-reduction reactions, and photochemistry. Over 160 exer are contained within the text, including 50 numerical problems cises in the te t and 112 e ercises for the reader to work on solved x x with and solutions provided in an appendix. hints Physical Chemistry for the Atmospheric Sciences is written byB aans iicn ternationally known atmospheric science researcher and suc textbook author. Whether used in an introductory class in cessful or for self-instruction as a supplementary workbook this chemistry be an invaluable resource for a broad range of students. book will BASIC PHYSICAL CHEMISTRY FOR THE ATMOSPHERIC SCIENCES BASIC PHYSICAL CHEMISTRY FOR THE ATMOSPHERIC SCIENCES PETER V. HOBBS University of Washington ""' ..... CAMBRIDGE UNIVERSITY PRESS Published by the Press Syndicate of the University Cambridge The Building, Trumpington Street, am dge CB2 IRP, England of 40 West 20th Street, New York, 10011-4211, USA Pitt C bri 10 Stamford Road, Oakleigh, Melbourne 3166, Australia NY ©Cambridge University Press 1995 p shed 1995 u First bli Printed in the nted States of America U i Libraoryf Congress Cataloging-iDna-tPau blication Hobbs, Pet r Victor, 1936- Ba c phys l chemistry for the atmospheric sciences Peter e o b si ica I p. cm. V. H b s. Includes index. ISBN 0-521-47387-X. -ISBN 0-521-47933-9 (pbk.) Atmospheric sciences. 2. A os he chemistry. 3. Chemistry, Physical and thetoretical. I. Title. I. m p ric QC861.2.H63 1995 ll----Oc20 94-19216 CIP 551.5' A cataog record for this available from the Library. l book is British ISBN 0-521-47387-X hardback 0-521-47933-9 paperback Contents Preface IX Chemical equilibrium 1 1.1 Some introductory concepts 1 1.2 Equilibrium constants 3 1.3 Reaction quotient 8 1.4 LeChatelier's principle 10 Exercises 11 2 Chemical thermodynamics 17 2.1 The first law of thermodynamics; enthalpy 17 2.2 Enthalpies of reaction and formation 21 2.3 Entropy and the second law of thermodynamics 22 2.4 The third law of thermodynamics; absolute entropies 26 2.5 Criteria for equilibrium and spontaneous transformation 27 2.6 Standard free energy changes 30 2.7 Free energy change and the equilibrium constant 31 2.8 Chemical potential; homogeneous nucleation of water-vapor condensation 34 Exercises 38 Chemical kinetics 43 3 3.1 Reaction rates 43 3.2 Reaction mechanisms 46 3.3 Reaction rates and equilibria 50 3.4 Collision theory of gaseous reactions 52 3.5 The effect of temperature on reaction rates: the Arrhenius' relation 56 v vi Contents 3.6 Catalysis 57 3.7 Half-life, residence time, and renewal time 58 Exercises _61 Solution chemistry and aqueous equilibria 68 4 4.1 Definitions and types of solutions 68 4.2 Solution concentrations 69 4.3 Factors affecting solubility 70 4.4 Colligative properties 71 4.5 Aqueous solutions; electrolytes 72 4.6 Aqueous equilibria 73 4.7 Strong and weak electrolytes; ion-product constant for water 78 Exercises 80 5 Acids and bases 83 5.1 Some definitions and concepts 83 5.2 The nature of H + (aq) 86 5.3 The BrjZlnsted-Lowry theory; conjugate acid-base pairs 86 5.4 The Lewis theory 87 5.5 Strengths of acids and bases; acid-dissociation (or ionization) constant 87 5.6 The pH scale 89 5.7 Polyprotic acids 90 5.8 Hydrolysis 91 5.9 Buffers 93 5 .10 Complex ions 96 5 .11 Mass balance and charge balance relations 97 5.12 The pH of rainwater 98 Exercises 101 6 Oxidation-reduction reactions 104 6.1 Some definitions 104 6.2 Oxidation numbers 105 6.3 Balancing oxidation-reduction reactions 108 6.4 Half-reactions in electrochemical cells 115 6.5 Strengths of oxidants and reductants; standard cell and half-cell potentials 116 6.6 Standard cell potentials and free-energy change 124 6.7 The Nernst equation 126 6.8 Redox potentials; Eh-pH diagrams 128 Contents vii 6.9 Gram-equivalent weight and normality 130 Exercises 132 Photochemistry 137 7 7.1 Some properties of electromagnetic waves 137 7.2 Some photochemical terminology and principles 139 Quantum yields 142 7.3 7 .4 Rate coefficients for photolysis 143 7 .5 Photostationary states 144 7.6 Stratospheric ozone and photochemistry; depletion of stratospheric ozone 145 Exercises 154 Appendix International system of units (SI) 157 I Appendix Some useful numerical values 158 II Appendix Atomic weights 159 Ill Appendix IV Equilibrium (or dissociation) constants for some chemical reactions 162 Appendix V Some molar standard Gibbs free energies of formation, molar standard enthalpies (or heats) of formation and molar absolute entropies at 25°C and 1 atmosphere 169 Appendix VI Names, formulas, and charges of some common ions 172 Appendix VII Answers to exercises and hints and solutions to selected exercises 173 Index 189