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ThermoLab · Chapter 8

Exergy, destruction and second-law efficiency

Locates irreversibilities component by component, separating quantity of energy from capacity to do work.

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Theory, equations and conditions of use

Exergy measures the maximum useful work available in bringing a system to equilibrium with its environment. Irreversibility destroys exergy, not energy.

Fundamento

Exergy of the heat

Only the Carnot fraction of the heat at Ts can be converted reversibly into work.

\(X_Q=(1-T_0/T_s)Q\)

Fundamento

Gouy-Stodola

Exergy destruction is proportional to the entropy generated and to the reference environment.

\(X_{dest}=T_0S_{gen}\)

Fundamento

Second-law efficiency

It compares the useful product with the exergy supplied.

\(\eta_{II}=X_{producto}/X_{combustible}\)
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

Can energy be destroyed?+

No; it is conserved. What is destroyed is its potential to produce work.

Why does T₀ matter?+

It defines the dead state and multiplies Sgen directly.

Where should improvements be prioritised?+

On the components with the largest Xdest, taking cost and feasibility into account as well.

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