A Textbook of Physical Chemistry Volume V A Textbook of Physical Chemistry Volume I : States of Matter and Ions in Solution Volume II : Thermodynamics and Chemical Equilibrium Volume III : Applications of Thermodynamics Volume IV : Quantum Chemistry and Molecular Spectroscopy Volume V : Dynamics of Chemical Reactions, Statistical Thermodynamics, Macromolecules, and Irreversible Processes Volume VI : Computational Aspects in Physical Chemistry A Textbook of Physical Chemistry Volume V (SI Units) Dynamics of Chemical Reactions, Statistical Thermodynamics, Macromolecules and Irreversible Processes Third Edition k l kAPoor Former Associate Professor Hindu College University of Delhi New Delhi McGraw Hill Education (India) Private Limited New Delhi McGraw Hill Education Offices New Delhi New York St louis San Francisco Auckland Bogotá Caracas Kuala lumpur lisbon london Madrid Mexico City Milan Montreal San Juan Santiago Singapore Sydney Tokyo Toronto Published by McGraw Hill Education (India) Private Limited, P-24, Green Park Extension, New Delhi 110 016. A Textbook of Physical Chemistry, Vol V Copyright © 2015 by McGraw Hill Education (India) Private Limited. No part of this publication may be reproduced or distributed in any form or by any means, electronic, mechanical, pho- tocopying, recording, or otherwise or stored in a database or retrieval system without the prior written permission of the publishers. The program listings (if any) may be entered, stored and executed in a computer system, but they may not be reproduced for publication. This edition can be exported from India only by the publishers, McGraw Hill Education (India) Private Limited. Print Edition ISBN (13): 978-93-39204-31-0 ISBN (10): 93-39204-31-X E-book Edition ISBN (13): 978-93-392-0432-7 ISBN (10): 93-392-0432-8 Managing Director: Kaushik Bellani Head—Higher Education (Publishing and Marketing): Vibha Mahajan Senior Publishing Manager (SEM & Tech. Ed.): Shalini Jha Associate Sponsoring Editor: Smruti Snigdha Senior Editorial Researcher: Amiya Mahapatra Senior Development Editor: Renu Upadhyay Manager—Production Systems: Satinder S Baveja Assistant Manager—Editorial Services : Sohini Mukherjee Assistant General Manager (Marketing)—Higher Education: Vijay Sarathi Senior Graphic Designer—Cover: Meenu Raghav General Manager—Production: Rajender P Ghansela Manager—Production: Reji Kumar Information contained in this work has been obtained by McGraw Hill Education (India), from sources believed to be reliable. However, neither McGraw Hill Education (India) nor its authors guarantee the accuracy or completeness of any information published herein, and neither McGraw Hill Education (India) nor its authors shall be responsible for any errors, omissions, or damages arising out of use of this information. This work is published with the understanding that McGraw Hill Education (India) and its authors are supplying information but are not attempting to render engineering or other professional services. If such services are required, the assistance of an appropriate professional should be sought. Typeset at Script Makers, 19, A1-B, DDA Market, Paschim Vihar, New Delhi 110 063, and text printed at To the Memory of My Parnets Preface in recent years, the teaching curriculum of Physical Chemistry in many indian universities has been restructured with a greater emphasis on a theoretical and conceptual methodology and the applications of the underlying basic concepts and principles. This shift in the emphasis, as i have observed, has unduly frightened undergraduates whose performance in Physical Chemistry has been otherwise generally far from satisfactory. This poor performance is partly because of the non-availability of a comprehensive textbook which also lays adequate stress on the logical deduction and solution of numericals and related problems. Naturally, the students find themselves unduly constrained when they are forced to refer to various books to collect the necessary reading material. it is primarily to help these students that i have ventured to present a textbook which provides a systematic and comprehensive coverage of the theory as well as of the illustration of the applications thereof. The present volumes grew out of more than a decade of classroom teaching through lecture notes and assignments prepared for my students of BSc (General) and BSc (honours). The schematic structure of the book is assigned to cover the major topics of Physical Chemistry in six different volumes. Volume I discusses the states of matter and ions in solutions. It comprises five chapters on the gaseous state, physical properties of liquids, solid state, ionic equilibria and conductance. Volume II describes the basic principles of thermodynamics and chemical equilibrium in seven chapters, viz., introduction and mathematical background, zeroth and first laws of thermodynamics, thermochemistry, second law of thermodynamics, criteria for equilibrium and A and G functions, systems of variable composition, and thermodynamics of chemical reactions. Volume III seeks to present the applications of thermodynamics to the equilibria between phases, colligative properties, phase rule, solutions, phase diagrams of one-, two- and three-component systems, and electrochemical cells. Volume IV deals with quantum chemistry, molecular spectroscopy and applications of molecular symmetry. it focuses on atomic structure, chemical bonding, electrical and magnetic properties, molecular spectroscopy and applications of molecular symmetry. Volume V covers dynamics of chemical reactions, statistical and irreversible thermodynamics, and macromolecules in six chapters, viz., adsorption, chemical kinetics, photochemistry, statistical thermodynamics, macromolecules and introduction to irreversible processes. Volume VI describes computational aspects in physical chemistry in three chapters, viz., synopsis of commonly used statements in BASiC language, list of programs, and projects. The study of Physical Chemistry is incomplete if students confine themselves to the ambit of theoretical discussions of the subject. They must grasp the practical significance of the basic theory in all its ramifications and develop a clear perspective to appreciate various problems and how they can be solved. it is here that these volumes merit mention. Apart from having a lucid style and simplicity of expression, each has a wealth of carefully selected examples and solved illustrations. Further, three types of problems with different objectives in view are listed at the end of each chapter: (1) Revisionary Problems, (2) Try Yourself Problems, and (3) Numerical Problems. Under Revisionary Problems, only those problems pertaining to the text are included which should afford an opportunity to the students in self-evaluation. in Try Yourself Problems, the problems related to the text but not highlighted therein are provided. Such problems will help students extend their knowledge of the chapter to closely related problems. Finally, unsolved Numerical Problems are pieced together for students to practice. Though the volumes are written on the basis of the syllabi prescribed for undergraduate courses of the University of Delhi, they will also prove useful to students of other universities, since the content of physical chemistry remains the same everywhere. in general, the Si units (Systeme International d’ unite’s), along with some of the common non-Si units such as atm, mmhg, etc., have been used in the books. Salient Features ∑ Comprehensive coverage to adsorption, chemical kinetics, photochemistry, statistical thermodynamics, macromolecules ∑ emphasis given to applications and principles ∑ explanation of equations in the form of solved problems and numericals ∑ iUPAC recommendations and Si units have been adopted throughout. ∑ Rich and illustrious pedagogy Acknowledgements i wish to acknowledge my greatest indebtedness to my teacher, late Prof. R P Mitra, who instilled in me the spirit of scientific inquiry. I also record my sense of appreciation to my students and colleagues at hindu College, University of Delhi, for their comments, constructive criticism and valuable suggestions towards improvement of the book. i am grateful to late Dr Mohan Katyal (St. Stephen’s College), and late Prof. V R Shastri (Ujjain University) for the numerous suggestions in improving the book. i would like to thank Sh. M M Jain, hans Raj College, for his encouragement during the course of publication of the book. i wish to extend my appreciation to the students and teachers of Delhi University for the constructive suggestions in bringing out this edition of the book. i also wish to thank my children, Saurabh-Urvashi and Surabhi-Jugnu, for many useful suggestions in improving the presentation of the book. Finally, my special thanks go to my wife, Pratima, for her encouragement, patience and understanding. Feedback Request The author takes the entire responsibility for any error or ambiguity, in fact or opinion, that may have found its way into this book. Comments and criticism from readers will, therefore, be highly appreciated and incorporated in subsequent editions. K L Kapoor Publisher’s Note McGraw-hill education (india) invites suggestions and comments from you, all of which can be sent to [email protected] (kindly mention the title and author name in the subject line). Piracy-related issues may also be reported.