Question

Goal:
Make the highest volume VG/PG solution at 80%/20%, respectively, with a 0.3% nicotine level.

Ingredients:

750ml VG

250ml PG

125ml 75%/25% VG/PG solution at 2.4% nicotine level.

I need to know the formula for the highest volume of this solution I can make that ends with a 0.3% nicotine level at an 80%/20% VG/PG ratio, given the above listed ingredients.

Answer 1

Higest volume of 0.3 % nicotin solution from 125mL of nicotin solution can be calculated by following calculation:

Suppose, Volume of 0.3 % nicotin solution is V₁.

Conc. of final solution is C₁ = 0.3 %

Volume of 0.3 % nicotin solution is V₂ = 125 mL.

Conc. of initial solution is C₂ = 2.4 %

So, V₁*C₁ = V₂*C₂

As the initial solution has 75%/25% VG/PG, but our desire is to make 80%/20% VG/PG.

so that , first we will make our initial solution to 80%/20% VG/PG by adding VG. After that, add the solution of 80%/20% VG/PG to make the solution of 0.3 % nicotin upto 1000 mL

Calculation to make it 80%/20% VG/PG :

Volume of final solution V₃.

Conc. of PG in final solution C₃ = 25 %

Volume of initial solution V₄ = 125 mL

Conc. of PG in initial solution C₄ = 20 %

So, V₃ * C₃ = V₄ * C₄

So that we have to add amount of VG in initial solution to dilute the solution of PG or to conc the solution of VG = 156.25 - 125 = 31.25 mL

Now to make 0.3 % nicotin solution, the amount of 80%/20% VG/PG should be added = 1000 - 156.25 = 843.75 mL

Now to make 843.75 mL of 80 %/20% VG/PG solution,

The amount of PG reqiured = 843.75- 675 = 168.75 mL

Conclusion:

Total amount of VG added to the initial solution = 31.25 mL (to make 75%/25% VG/PG to 80%/20% VG/PG) + 675 mL(to make 1000 mL of solution) = 706.25 mL

Total amount of PG added to the initial solution = 168.75 mL