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GPS-X Technical Reference

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Appendix C –Respirometry C-5<br />

the effect of substrate and DO limitation. However, the effect of limiting substrate<br />

can be eliminated by the continuous addition of substrate (wastewater) to the<br />

respiration chamber.<br />

MEASUREMENT IN THE GAS PHASE<br />

Respirometers that are based on measuring gaseous oxygen obviously always deal<br />

with two phases: the liquid phase containing the activated sludge of which the<br />

respiration rate has to be measured and the gas phase where the measurement takes<br />

place. The advantage of this technique is that the instrument is not affected by<br />

contaminations common in an activated sludge medium. Oxygen can be measured<br />

either directly by using a sensor such as a paramagnetic oxygen analyzer or<br />

indirectly by measuring pressure or volume changes.<br />

Respirometric principles based on measuring gaseous oxygen also use oxygen mass<br />

balances to derive the respiration rate. However, in addition to the mass balance of<br />

the liquid phase, a balance of the gas phase has to be considered:<br />

dC<br />

dt<br />

G<br />

<br />

Q<br />

V<br />

L<br />

x<br />

C<br />

C <br />

K aC<br />

L C <br />

r<br />

Lin<br />

L<br />

L<br />

L<br />

dC<br />

dt<br />

L<br />

F<br />

<br />

V<br />

in<br />

G<br />

C<br />

Gin<br />

F<br />

<br />

V<br />

out<br />

G<br />

C<br />

G<br />

V<br />

<br />

V<br />

L<br />

G<br />

L<br />

<br />

K a C<br />

x<br />

L<br />

C<br />

L<br />

<br />

Where:<br />

CG = O2 concentration in the gas phase<br />

CGin = O2 concentration in the gas entering the gas phase<br />

Fin = flow rate of the gas phase<br />

VL = volume of the gas phase<br />

The term KLa(C x L -CL) represents the dissolution rate of oxygen from the gas phase<br />

to the liquid phase and it comprises the connection between the two phases. For a<br />

correct measurement it has to be assumed that the dissolution rate is identical to the<br />

respiration rate of the activated sludge. If CL is not measured directly, it has to be<br />

related to volume or pressure changes by using the gas law. Additional assumptions<br />

to be made are that the gas behaves ideally and that measured changes are only<br />

caused by changes in oxygen concentration. Because during the activated sludge<br />

process carbon dioxide is produced this gas must be absorbed chemically to avoid<br />

interference with the oxygen measurement.<br />

In respirometers the measurement of r is usually simplified by operating under static<br />

liquid phase. In the simplest case, when both liquid and gas phase are static, the<br />

same restriction as with the simplest DO base principle exists: when the oxygen<br />

becomes exhausted it must be replenished by, for instance, venting the gas phase.<br />

Another possibility is supplying oxygen from an external tank and measuring the<br />

amount of oxygen supplied or generating the oxygen by electrolysis. The latter<br />

<strong>GPS</strong>-X <strong>Technical</strong> <strong>Reference</strong>

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