The difference is that you’re connecting every single dot here with regards to ph. Im only focused on the period from final knockout to final product- i.e the fermentation process and corresponding ph lowering. I dont belive theres a calculator that could possibly make all those calculations. And i don necessarily think its a good idea to think that way. I see it as better to simply set targets- mash, final kettle, final beer. Then use acids/bases to meet those targets. And set those targets for the goals you want from each part- mash, boil, ferment. the process is sequential so i see why it would be easy to link them all together, but i think its unnecessary and impractical.
Not sure the name but theres a Lodo guy here who makes sauergut to acidify his lager/german beers and raves about it. Adjusts his mash, boil, and knockout ph numbers with it. Same principle. Although i dont know if his knockout addition is to combat sry hop creep or just a general preference on his process.
What we have traditionally done is as follows:
1.) If using Sauergut, we used it at a rate of 30 ml/kg of malt to drop the pH 0.1, IIRC. This was handed down from Kolbach and is documented in Kunze's text. 30 ml/kg is the boil addition rate (or kettle addition).
2.) Mineral acids were a bit trickier at first. You have to make a few assumptions, one being that the buffering is the same from mash to kettle to knockout. Ultimately, what I settled on was a combination of Brun Water's mash acid calculations and Riffe's mash acid calculations, extrapolated to cover kettle and knockout additions by re-calculating the RA for each step. For instance:
Kettle pH (using Acid) = Mash pH (Measured) + (pH/RA Slope (l/mEq) * RA (mEq/l))
KO pH (using Acid) = Kettle pH (Measured) + (pH/RA Slope (l/mEq) * RA (mEq/l))
where:
pH/RA Slope (l/mEq) = 0.17
RA (mEq/l) = -( Acid Strength (%) * ( Acid Density (kg/l) / Mol. Weight ) * 1000 * ml of Acid ) / Corresponding Volume (l)
It's not perfect because we don't know the actual buffering of the kettle wort or KO wort so we have to assume, but it will get you in the wheelhouse if you need to park the carriage in a hurry.
Because concepts do not exist in a vacuum. I.E., they must be integrated into a whole via the application of reason.
While I am a "sum of all parts" kind of guy as well Larry, in this case it doesn't matter. You can totally disregard the mash and kettle predictions one may develop and just take a reading before knockout and use my approximations from above to get a fairly decent, if not totally precise, estimation of knockout pH.