is there a technical name to the 'multiply factor' I refer too?
The multiplier to convert acid volume added to reach the titration endpoint to a nicotine concentration doesn't have a name that leaps to mind. It's just a roll-up of all the chemistry and math involved... maybe call it a magic number?
When I developed the methodology on which the test kit is based, I had to match up the pH at titration endpoint with an indicator that would give the required color change within a drop of acid of the point where no more non-protonated nicotine was present. According to the graph I use showing degree of protonation of nicotine -vs- pH, this happens around pH 5.6. BTB leapt to the front of the pack for multiple reasons. It is yellow below pH 6 and blue above pH 7.6, and also possesses the green "warning range". At the concentration used, the amount of excess acid to get from pH 6 to pH 5.6 is quite minimal. Titrating with a meter and plotting acid volume -vs- pH shows this quite dramatically.
The chemistry hiding behind the acid volume required for the color change to yellow is simply moles of hydrogen ion added to the solution to achieve the color change. The moles of H+ added will equal the moles of nicotine present.
The chemist will ask, "How much eliquid was used, how much acid was needed, what was the normality of the acid, and what is the molecular weight of nicotine?". If 5.0 mL of 0.12N (normality being moles H+ per liter) acid was needed to reach yellow for 1.0 mL of eliquid, we have:
(5.0 mL x 0.12 moles H+/L) / 1000 mL = 0.00060 moles H+ required to reach yellow.
This means that the 1.0 mL of eliquid contains 0.00060 moles of nicotine.
The molecular weight of nicotine is 162.26 grams/mole.
So the mass of nicotine represented by 0.00060 moles of nicotine is simply:
(0.00060 moles x 162.26 grams) / 1 mole = 0.097356 grams of nicotine
Then:
(0.097356g x 1000 mg) / 1 g = 97.356 mg
and with 1.0 mL of eliquid used:
97.356 mg/mL
Using 2 significant figures, this gives 97 mg/mL.
It just so happens that 97.356 / 5 = 19.47 (a number familiar to users of the test kit).
If 2 mL of eliquid was used to get the same result, the math would work out to:
97.356 mg / 2 mL = 48.678 mg/mL
So the 19.47 multiplier can be viewed as per mL of eliquid used. (Simply apply the 19.47 multiplier and divide by mL eliquid used).