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Exergy saving and exergy production in municipal wastewater ...

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<strong>Exergy</strong> <strong>sav<strong>in</strong>g</strong> <strong>and</strong> <strong>exergy</strong> <strong>production</strong> <strong>in</strong> <strong>municipal</strong> <strong>wastewater</strong> treatment<br />

last when the microorganism decomposes the matter the rema<strong>in</strong><strong>in</strong>g part<br />

of the <strong>exergy</strong> which cannot be used by the microorganism will be stored<br />

<strong>in</strong> peat. Peat <strong>in</strong> the matter of time turns <strong>in</strong>to oil or coal.<br />

Part of the <strong>in</strong>put <strong>exergy</strong> (sun light with short wave length which is high<br />

quality energy) to the system (planet earth) will be reflected out as long<br />

wavelength with low quality energy. The difference between the visible<br />

sunlight <strong>and</strong> <strong>in</strong>visible sunlight reflected from the planet is the motive<br />

force of all the processes happen<strong>in</strong>g on earth (Wall, 1977).<br />

All the resources on the planet are divided <strong>in</strong>to energy sources <strong>and</strong> other<br />

material. The quality <strong>in</strong>dex is a factor which specifies the <strong>exergy</strong> amount<br />

of an specific type of energy <strong>and</strong> <strong>in</strong> this way the highest quality <strong>in</strong>dex<br />

(100) belongs to electrical energy, potential energy (stored <strong>in</strong> water<br />

resources situated <strong>in</strong> a high level position) <strong>and</strong> k<strong>in</strong>etic energy stored <strong>in</strong><br />

waterfall <strong>and</strong> nuclear fuel. The chemical energy stored <strong>in</strong>side the oil, gas<br />

<strong>and</strong> coal have the quality <strong>in</strong>dex of about 95 <strong>and</strong> the sunlight has 93. The<br />

heat radiation reflected from the earth thus has zero amount of the<br />

<strong>exergy</strong> (Wall, 1977).<br />

The quality <strong>in</strong>dex also has another def<strong>in</strong>ition which shows the amount of<br />

the elements <strong>in</strong> ordered form. In this case the quality <strong>in</strong>dex is high for an<br />

energy type conta<strong>in</strong><strong>in</strong>g high <strong>exergy</strong> content or an element <strong>in</strong> high<br />

ordered form. The E<strong>in</strong>ste<strong>in</strong>’s relation between energy <strong>and</strong> matter here<br />

can be used to relate these two concepts so to say <strong>exergy</strong> <strong>in</strong> matter <strong>and</strong><br />

<strong>exergy</strong> <strong>in</strong> energy together:<br />

(7)<br />

Equation 7 shows that <strong>exergy</strong> <strong>in</strong> the form of extra high quality energy<br />

can be converted <strong>in</strong>to <strong>exergy</strong> <strong>in</strong> a shape of high ordered form of<br />

matter (Wall, 1977).<br />

As another example, <strong>exergy</strong> is consumed to turn the m<strong>in</strong>eral form of an<br />

ore <strong>in</strong>to pure form of it. A power plant is turn<strong>in</strong>g the <strong>exergy</strong> <strong>in</strong>side the<br />

coal or oil <strong>in</strong>to electricity but this process of course happens with losses.<br />

These losses are around 60% <strong>and</strong> even higher for nuclear power plant<br />

which is around 70% (Wall, 1977).<br />

1.12. Def<strong>in</strong>ition <strong>in</strong> thermodynamic<br />

<strong>Exergy</strong> is the part of the energy which is convertible to all other form of<br />

the energies (a def<strong>in</strong>ition by H.D Baehr). In an environment which<br />

conta<strong>in</strong>s a system, the <strong>exergy</strong> of the system is the amount of the<br />

maximum mechanical work that can be extracted from the system.<br />

In an ord<strong>in</strong>ary battery, the reaction happens <strong>in</strong>side, changes the chemical<br />

material <strong>in</strong>to another material <strong>and</strong> electricity (one form of pure <strong>exergy</strong>);<br />

this means the chemical material <strong>in</strong>side the battery has a higher <strong>exergy</strong><br />

compar<strong>in</strong>g to the dead battery.<br />

Another def<strong>in</strong>ition for <strong>exergy</strong> is the distance of the system from the<br />

equilibrium state of its environment:<br />

(8)<br />

U = energy content of the system<br />

U 0 = energy content of the system after transfer of entropy to the<br />

environment<br />

∆U = <strong>in</strong>crease of the free energy or entropy <strong>in</strong> the environment<br />

E = <strong>exergy</strong><br />

U = <strong>in</strong>ternal energy of the system<br />

(9)<br />

11

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