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4      The First Law



                        of Thermodynamics





            INTRODUCTION
            In the previous chapter, we sharpened our computational skills and gained an appreciation for the
            particle model of gases. We now turn our attention to matters of energy and energy flow according
            to the laws of thermodynamics. In the Math Review chapter, we showed that energy can flow
            between various forms of kinetic and potential energy but that overall energy is conserved and only
            the form is changed. Many things can be said about thermodynamics. Mainly, thermodynamics
            owes more to the steam engine than the steam engine owes to thermodynamics. That means that
            Watt [1] and other inventors built steam engines and got them to work using raw mechanical
            reasoning and then thermodynamics was developed=discovered to understand the principles of the
            engine. We will try to help you gain a foundation of understanding if you will follow along and use
            pencil and paper to write out some derivations rather than just read the text. It should be understood
            that while physics majors develop expertise in electromagnetic theory far more than chemistry
            majors, it is generally true that chemistry majors gain a better understanding of thermodynamics.
            Chemical engineers use thermodynamics as their main expertise, although augmented by kinetics
            and transport theory, so the chemistry professionals should take pride that thermodynamics is ‘‘their
            thing,’’ their chance to shine in terms of the scientific method.
              Thermodynamics is necessarily more abstract than the study of mechanical devices because it is
            not always easy to see ‘‘heat.’’ You will soon see that thermodynamics is wonderful for providing
            information about ‘‘after-minus-before’’ processes, but often it tells us little about the mechanism of
            the process being considered. The good news is that we do not need to know the details of the
            mechanism of a process, but the bad news is that often thermodynamics does not provide any means
            to determine the mechanism. This adds to the mystery of thermodynamics since often one can
            substitute an imaginary process with the same beginning and ending to obtain results without
            knowing the real mechanism but you will not learn the mechanism. Overall, thermodynamics offers
            sweeping principles that are important in all the sciences: chemistry, physics, astronomy, and even
            biology. We will see that there is an ongoing dynamic between the tendency of energy to decrease
            and a tendency of randomness to increase. Living systems are caught in this dynamic, so basic
            metabolism is subject to thermodynamics.


            HISTORICAL DEVELOPMENT OF THERMODYNAMICS
            Although we want to treat thermodynamics from the beginning of quantitative relationships, it may
            be worth mentioning more primitive ideas. Prior to 1798, one explanation of heat produced by
            friction was that heat is the release of a substance trapped within materials. The substance was called
            ‘‘caloric.’’ Actually at a very shallow grade school level this idea has some merit but just what is
            caloric, a liquid, a vapor, some sort of ‘‘igneous fluid?’’ The breakthrough came from an American
            named Benjamin Thompson (1753–1814) (Figure 4.1) who was born in Woburn, Massachusetts. He
            became a Major in the British Army at the age of 19 and he left with the British in 1776, after the
            surrender of Boston. He later entered into the employ of the Bavarian Government and was given
            the title of Count Rumford. His key experiment was performed in Munich where he was involved in
            the manufacture of cannon [2]. In the 1700s, cannon were large solid pieces of cast brass or iron

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