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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 />

membrane of the cell, the more electricity can be achieved from the<br />

oxidation of the material. However if the redox potential of substrate<br />

<strong>and</strong> the anode electrode are too different the metabolism of the bacteria<br />

will be enhanced because the chemical potential which is needed to exist<br />

between the <strong>in</strong>side <strong>and</strong> outside of the membrane is provided by the<br />

anode <strong>in</strong>stead of proton <strong>production</strong> by the cell itself. This leads to lower<br />

maximum atta<strong>in</strong>able voltage by the MFC because there is less need to<br />

produce protons outside the cell membrane of the bacteria.<br />

In order to keep proton <strong>production</strong> of the cell high, the anode potential<br />

should be kept down but not lower than a specific limit because then the<br />

cell will go to fermentation respiration (Logan et al, 2006). The protons<br />

produced <strong>in</strong> the metabolism process are be<strong>in</strong>g used to move the turb<strong>in</strong>e<br />

shape prote<strong>in</strong> which is <strong>in</strong> the membrane of the cell to make ATP from<br />

ADP <strong>and</strong> pi. The electrons will attach to the f<strong>in</strong>al electron acceptors like<br />

for oxygen after pass<strong>in</strong>g through electron transfer cha<strong>in</strong> (which takes<br />

them from a higher energy level to a lower energy level). Though, the<br />

f<strong>in</strong>al product of the respiration is water. This process of water<br />

<strong>production</strong> <strong>in</strong> bio-fuel cell has been taken deliberately to the cathode<br />

compartment. Therefore; the process of ATP <strong>production</strong> is then<br />

<strong>in</strong>terrupted manually. This has led to less <strong>production</strong> of biomass<br />

compar<strong>in</strong>g to aerobic respiration. (Logan et al, 2006)<br />

1.26. How to measure the amount of electricity be<strong>in</strong>g produced:<br />

The half reaction <strong>in</strong> each cell should be used to measure the amount of<br />

produced electricity which is called the electron motive force. Electron<br />

motive force or shows the potential difference between the anode<br />

<strong>and</strong> the cathode can be calculated accord<strong>in</strong>g to equation (Wall, 1977)<br />

which calculates the electron motive force <strong>in</strong> pH=7 as the pH of the<br />

cytoplasm is 7 (Jørgensen, 2001).<br />

E emf = E 0 - [RT/nFln(π)] (57)<br />

E 0= st<strong>and</strong>ard (pH=0) cell electron motive force<br />

R = 8.31447 J/mol-K the gas constant<br />

T = absolute temperature (◦K)<br />

n = number of electrons transferred<br />

F = 96.485 C/mol faraday’s constant<br />

Π = [products] P /[reactants] r (58)<br />

Products = reduced species<br />

Reactants = oxidized species<br />

Oxidized spices + e-→reduced species (59)<br />

If these calculations are done with Gibbs free energy, the follow<strong>in</strong>g will<br />

be <strong>in</strong> use:<br />

∆Gr = ∆Gr 0+RT ln(π) (60)<br />

∆Gr = the Gibbs free energy for the specific conditions (J)<br />

∆Gr 0 = Gibbs free energy under st<strong>and</strong>ard conditions usually 298.15 K, 1<br />

bar pressure <strong>and</strong> 1 M concentration <strong>and</strong> pH=0 for all species<br />

Cell electron motive force is the potential difference between the<br />

cathode <strong>and</strong> anode. The work produced by the cell is calculated<br />

as follows:<br />

W = E 0 Q = -∆Gr 0 (61)<br />

Q = nF (62)<br />

The charged transferred <strong>in</strong> the reaction, expressed <strong>in</strong> coulomb (C) <strong>in</strong><br />

which n is the number of electrons per reaction mol.<br />

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