Wizard Potion Dilution Calculator
How to use
- Enter your Initial Potion Strength (%).
- Enter your Target Strength (%) (must be ≤ the initial strength for dilution).
- Enter your Starting Volume (for example, mL).
- Calculate to see solvent to add and final volume.
The dilution formula (the “math behind the magic”)
Dilution keeps the amount of “active ingredient” constant while increasing total volume by adding solvent.
Symbols
- V = starting volume
- S = initial strength (%)
- T = target strength (%)
- Vfinal = final volume after dilution
- A = solvent amount to add
Core equations
Convert percentages to a ratio by dividing by 100 (for example, 80% → 0.8). Then:
Same-units rule: if V is in mL, A and Vfinal will be in mL too.
Interpreting the results
- Solvent to add (A): how much water/oil/neutral base (or “dragon tears” in-lore) to add to reach the target strength.
- Final volume (Vfinal): starting volume plus solvent added.
Worked example
Given: V = 50 mL, S = 80%, T = 40%
- Vfinal = 50 × (80 ÷ 40) = 100 mL
- A = 100 − 50 = 50 mL of solvent to add
Quick comparisons
| Starting (V, S) | Target (T) | Solvent to add (A) | Final volume (Vfinal) |
|---|---|---|---|
| 50 mL @ 80% | 40% | 50 mL | 100 mL |
| 100 mL @ 60% | 30% | 100 mL | 200 mL |
| 25 mL @ 20% | 10% | 25 mL | 50 mL |
Limitations & assumptions
- Dilution only: this calculator assumes you are adding solvent (no evaporation/boiling off, no removing concentrate). Therefore, the target strength must be less than or equal to the initial strength (T ≤ S). If T > S, you can’t reach it by dilution—you’d need to concentrate or add more active ingredient.
- Percentage basis: strengths are treated as a generic concentration measure. In real chemistry, “%” can mean % v/v, % w/w, or % w/v; results differ if density changes matter.
- Volume additivity: assumes volumes add linearly (final volume = starting + solvent). Some real mixtures shrink/expand slightly when combined.
- Same units in/out: if you enter mL, you’ll get mL back. Don’t mix units (e.g., mL and oz) unless you convert first.
- Rounding: displayed values may be rounded; keep extra precision for lab-grade work.
- Safety note: the fantasy theme is for fun/education. Don’t use this page as medical, chemical, or food-safety guidance.