This page intentionally left blank FOUR LAWS Peter Atkins 1 3 GreatClarendonStreet,Oxfordox OxfordUniversityPressisadepartmentoftheUniversityofOxford. ItfurtherstheUniversity’sobjectiveofexcellenceinresearch,scholarship, andeducationbypublishingworldwidein Oxford NewYork Auckland CapeTown DaresSalaam HongKong Karachi KualaLumpur Madrid Melbourne MexicoCity Nairobi NewDelhi Shanghai Taipei Toronto Withofficesin Argentina Austria Brazil Chile CzechRepublic France Greece Guatemala Hungary Italy Japan Poland Portugal Singapore SouthKorea Switzerland Thailand Turkey Ukraine Vietnam OxfordisaregisteredtrademarkofOxfordUniversityPress intheUKandincertainothercountries PublishedintheUnitedStates byOxfordUniversityPressInc.,NewYork ©PeterAtkins2007 Themoralrightsoftheauthorhavebeenasserted DatabaserightOxfordUniversityPress(maker) Firstpublished2007 Allrightsreserved.Nopartofthispublicationmaybereproduced, storedinaretrievalsystem,ortransmitted,inanyformorbyanymeans, withoutthepriorpermissioninwritingofOxfordUniversityPress, orasexpresslypermittedbylaw,orundertermsagreedwiththeappropriate reprographicsrightsorganization.Enquiriesconcerningreproduction outsidethescopeoftheaboveshouldbesenttotheRightsDepartment, OxfordUniversityPress,attheaddressabove Youmustnotcirculatethisbookinanyotherbindingorcover andyoumustimposethesameconditiononanyacquirer BritishLibraryCataloguinginPublicationData Dataavailable LibraryofCongressCataloginginPublicationData Dataavailable TypesetbySPIPublisherServices,Pondicherry,India PrintedinGreatBritain onacid-freepaperby ClaysLtd,StIvesplc ISBN 978–0–19–923236–9 1 3 5 7 9 10 8 6 4 2 PREFACE Among the hundreds of laws that describe the universe, there lurks a mighty handful. These are the laws of thermodynamics, whichsummarizethepropertiesofenergyanditstransformation fromoneformtoanother.Ihesitatedtoincludetheword‘ther- modynamics’inthetitleofthislittleintroductiontothisbound- lesslyimportantandfascinatingaspectofnature,hopingthatyou wouldreadatleastthisfar,fortheworddoesnotsuggestalight read. And, indeed, I cannot pretend that it will be a light read. When in due course, however, you emerge from the other end ofthisslimvolume,withyourbrainmoresinewyandexercised, youwillhaveaprofoundunderstandingoftheroleofenergyin theworld.Inshort,youwillknowwhatdrivestheuniverse. Do not think that thermodynamics is only about steam engines: it is about almost everything. The concepts did indeed emerge during the nineteenth century when steam was the hot topicoftheday,butasthelawsofthermodynamicsbecamefor- mulatedandtheirramificationsexploreditbecameclearthatthe subject could touch an enormously wide range of phenomena, from the efficiency of heat engines, heat pumps, and refrigera- tors, taking in chemistry on the way, and reaching as far as the processes of life. We shall travel across that range in the pages thatfollow. vi Preface Themightyhandfulconsistsoffourlaws,withthenumbering starting inconveniently at zero and ending at three. The first two laws (the ‘zeroth’ and the ‘first’) introduce two familiar but nevertheless enigmatic properties, the temperature and the energy.Thethirdofthefour(the‘secondlaw’)introduceswhat many take to be an even more elusive property, the entropy, but which I hope to show is easier to comprehend than the seemingly more familiar properties of temperature and energy. The second law is one of the all-time great laws of science, for it illuminates why anything—anything from the cooling of hot matter to the formulation of a thought—happens at all. The fourth of the laws (the ‘third law’) has a more technical role, but rounds out the structure of the subject and both enables and foils its applications. Although the third law establishes a barrier that prevents us from reaching the absolute zero of temperature, of becoming absolutely cold, we shall see that there is a bizarre and attainable mirror world that lies below zero. Thermodynamicsgrewfromobservationsonbulkmatter—as bulkyassteamengines,insomecases—andbecameestablished beforemanyscientistswereconfidentthatatomsweremorethan mereaccountingdevices.Thesubjectisimmeasurablyenriched, however,iftheobservation-basedformulationofthermodynam- icsisinterpretedintermsofatomsandmolecules.Inthisaccount weconsiderfirsttheobservationalaspectsofeachlaw,thendive below the surface of bulk matter and discover the illumination that comes from the interpretation of the laws in terms of con- ceptsthatinhabittheunderworldofatoms. Preface vii Inconclusion,andbeforeyourollupthesleevesofyourmind and get on with the business of understanding the workings of the universe, I must thank Sir John Rowlinson for commenting in detail on two drafts of the manuscript: his scholarly advice wasenormouslyhelpful.Iferrorsremain,theywillnodoubtbe tracedtowhereIdisagreedwithhim. This page intentionally left blank CONTENTS Preface v 1. THE ZEROTH LAW:Theconceptoftemperature 1 2. THE FIRST LAW:Theconservationofenergy 21 3. THE SECOND LAW:Theincreaseinentropy 47 4. FREE ENERGY:Theavailabilityofwork 79 5. THE THIRD LAW:Theunattainabilityofzero 101 Conclusion 123 Furtherreading 125 Index 127 Symbolandunitindex 131
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