azscoob
Brewpub coming soon!
Ok, so there's no denying I'm a dork. I worked out the math.
V1 = volume before heating
V2 = volume after heating
M1 = mass before heating
M2 = mass after heating
C1 = alcohol concentration by volume before heating, in decimal format. i.e. 5% ABV = 0.05
C2 = alcohol concentration after heating
x = mass of other stuff in beer (i.e. dissolved solids, any other trace liquids, whatever)
Assumptions:
the volume represented by the "other stuff" is negligible and/or constant
Water is 1.0 kg/l or 1.0 g/ml (techincally this is only true at 4 degrees C, but f it, close enough)
Ethanol is .79 g/ml
So, you can calculate the amount of "other stuff" by a mass balance.
x = M1 - mass ethanol - mass of water
mass of each liquid component = volume*density, and volume of each liquid component = total volume*volumetric concentration of the liquid
so
x = M1 - V1*.79*C1 - V1*1*(1-C1)
x doesn't change, and therefore you can also calculate it as a function of the final mass, volume, and concentration:
x = M2 - V2*.79*C2 - V2*1*(1-C2)
you can combine the two and get:
M1 - V1*(1 - 0.21*C1) = M2 - V2*(1 - 0.21*C2)
So if you know your initial ABV, which you do, and you accurately measure the initial and final volume and mass, you can calculate your final ABV.
Wow, I feel waaaay outclassed in the brain department!
I almost understand what you are saying, I need a minute to take it all in.