Abstract
The introduction of "lost work" into the statement of the second law of thermodynamics allows us to combine it with the first law to obtain a statement of extreme breadth and generality. Because the combined first- and second-law statement defines reversible work, all other widely used statements of minimum or maximum work can be shown to be restricted cases of this combined statement.With this combined statement, we can calculate thermodynamic efficiencies of all processes, including not only those conventionally treated--which are large work producers or consumers--but also those that do not have work production or consumption as their goals (as in absorption refrigerators or distillation columns). The results obtained this way, for example with turbines, are not the same as the conventional "isentropic efficiency" definition, but are more thermodynamically sound and much more practical for turbines whose outlet temperatures are far removed from the ambient temperature.The combined first- and second-law statement leads naturally to the availability function and the batch availability function rather than to the availability. For practical process problems, where prime movers are not the most important concern, the availability function is a much more useful and practical quantity to utilize than the availability.
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