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Modern Engineering Thermodynamics

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7.4 Carnot’s Heat Engine and the Second Law of <strong>Thermodynamics</strong> 211<br />

mechanical friction fluid viscosity electrical resistance<br />

shock waves mixing chemical reactions<br />

heat transfer plastic deformation hysteresis<br />

Thus, it is easy to see that all engineering processes of interest are really irreversible processes, and aside from a<br />

few mathematical formalities, we have very little need for the reversibility concept.However,wearenotyet<br />

capable of analyzing all the irreversibilities that occur in the complex real world, so we indeed need to model<br />

our device as reversible during the design stage, then build and test a prototype of it to determine the effect of<br />

KELVIN-PLANCK STATEMENT OF THE SECOND LAW<br />

OF THERMODYNAMICS 4<br />

You cannot make a continuously operating heat engine that converts all of its heat input directly into work output (Figure 7.4).<br />

High-temperature reservoir<br />

Heat in<br />

Cyclic heat<br />

engine<br />

Work out = Heat in<br />

Impossible!<br />

No heat out!<br />

Low-temperature reservoir<br />

FIGURE 7.4<br />

Kelvin-Planck statement.<br />

4 The Kelvin-Planck statement has many different written forms. For example, it can be expressed as “It is impossible to build a continuously<br />

operating device that produces a work output while absorbing heat from a single thermal reservoir,” and as “No heat engine can be more<br />

than 100% efficient.” Another form of the Kelvin-Planck statement is “It is impossible to build a continuously operating device that produces a<br />

work output while absorbing heat energy from a single thermal reservoir.”<br />

WHAT DOES THE WORD ENTROPY MEAN?<br />

Rudolph Clausius was German, and the word he chose for Carnot’s energy transformation concept was verwandlungsinhalt,<br />

meaning “transformation content.” Fortunately, in 1865, he chose to rename this concept by choosing the Greek word<br />

entropy, meaning simply “to change, or transform.” Later, there was an unsuccessful attempt to name an entropy unit the<br />

clausius, Cl, after him. It was defined as 1 Cl = 1 kcal/K = 4.186 J/K, but it was not universally accepted.<br />

REVERSIBLE PROCESSES: CLASSICAL DEFINITION<br />

A process is called reversible if, at any time, both the system and the environment can be returned to their original states.<br />

REVERSIBLE PROCESS: MODERN DEFINITION<br />

A reversible process is defined to be any process for which the entropy production or the entropy production rate for the<br />

process is zero (i.e., S P = Ṡ P = 0).

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