I have a bioreactor for algae cultivation, and I sparge CO2 into the bioreactor, when I increase the CO2 flow, the pH value decrease. I record the pH, and want to use the pH to calculate the dissvoled CO2, but I tried lots of different equations, give me a reverse result, as below:
Method 1: I use the equation from this attached book chapter, file:///C:/Users/wangz/Downloads/ColeandPrairieCO2InlandWaters.pdf
According to it when pH increase Alkalinity (ANC) increase as well,
And [ANC]= [DIC]* (Ka1[H+]+2Ka1*Ka2)/([H+]2+Ka1 *[H+]+Ka1*Ka2)+Kw/[H+]-[H+]
[CO2]=[DIC]*[H+]2/(Ka1*Ka2+Ka1*[H+]+[H+]2)
so from the equation, when pH increase, ANC increase, DIC increase, dissovled CO2 increase?
But should dissovled CO2 increase, pH decrease???????
However, according to this equation, when pH=8 can have a 10 times higher dissovled CO2 than the situation when pH=7.
I also tried many other equations found in those papers, but the calculation results also is pH increase, dissovle CO2 increase? I'm confused.
Method 2:
http://www-naweb.iaea.org/napc/ih/documents/global_cycle/vol%20I/cht_i_09.pdf
http://www-users.med.cornell.edu/~spon/picu/calc/basecalc.htm
Ct=([H+]/K1+1+K2/[H+])[HCO3-]
based on the Henderson-Hasselbalch equation:
HCO3 = 0.03 * pCO2 * 10 (pH - 6.1)
This is also pH increase, Ct increase!!!
Method 3:
Article Growth CO2 Consumption, and H2 Production of Anabaena Variab...
Ctot=10-1.5 xCO2+ (10-7.8/10-pH)xCO2+(10-28.1/10-2pH)xCO2
This equation also has the same issue, when pH increase, Ctot increases.
Could anyone help me is there anything wrong I did? Why I want to use the pH to calculated the dissovle the CO2, when pH increase the dissolved CO2 also increase? Why?????