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ThermoLab · Chapters 6 and 7

Second law, Carnot and entropy

Compares actual performance with the reversible limit and quantifies entropy generation.

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Theory, equations and conditions of use

The first law limits quantities of energy; the second law limits their direction and quality. Carnot sets the reversible ceiling between two reservoirs.

Fundamento

Carnot limit

No cyclic machine operating between two reservoirs can exceed the reversible performance.

\(\eta_C=1-\frac{T_c}{T_h}\)

Fundamento

Entropy generation

A real process satisfies Sgen≥0; a negative value points to inconsistent data or signs.

\(S_{gen}=\Delta S_{system}-\sum Q_k/T_k\)

Fundamento

Ideal gas change

Pressure lowers entropy while heating raises it.

\(\Delta s=\int c_p(T)\frac{dT}{T}-R\ln(P_2/P_1)\)
Base documentalÇengel & Boles, 7th edition · SI appendices A-1 to A-28
USCS conversionA-1E to A-27E, via exact factors from the SI base
AlcancePreliminary design, teaching and independent verification

Engineering FAQ

Preguntas frecuentes

Why use kelvin or rankine?+

Second-law relations require absolute temperature.

Can the COP be greater than one?+

Yes; it measures heat transferred per unit of work, not the conversion of work into work.

What does Sgen=0 mean?+

It represents an ideal reversible limit.

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