Alcohol Dilution Calculator
Calculate exact water needed to dilute alcohol to target ABV. Accounts for ethanol-water contraction and temperature correction.
About
Mixing ethanol and water produces a volume smaller than the sum of the two components. This non-ideal behavior, first systematically measured by Mendeleev and codified in OIML international alcoholometric tables, means a naive formula (Vwater = V1 × C1 ÷ C2 − V1) underestimates the water required by 3 - 5% at typical distillation strengths. Getting the dilution wrong wastes product or forces repeated correction passes. This calculator uses a 101-point density table (at 20°C) to convert volumes to masses, performs mass-balance arithmetic, then converts back accounting for contraction. It also corrects for the temperature of your hydrometer reading if you are not measuring at exactly 20°C.
Limitations: the density table assumes atmospheric pressure and pure binary ethanol-water. Fusel oils, sugars, and dissolved solids in real spirits shift density slightly. For commercial compliance, always verify with a certified laboratory densimeter. Pro tip: add water slowly, stir gently, and allow 24 hours for the mixture to equilibrate before taking a final reading.
Formulas
The dilution is computed via mass balance. First, the mass of pure ethanol in the starting solution is calculated. Then the final volume that contains the same mass at the target concentration is determined using density data.
Step 1 - Mass of ethanol:
methanol = V1 × ρ1 × C1100
Step 2 - Final solution volume (from mass balance):
V2 = methanolρ2 × C2100
Step 3 - Water to add (by mass, then volume):
mwater = V2 × ρ2 − V1 × ρ1
Vwater = mwaterρwater
Where V1 = initial volume, C1 = initial ABV %, C2 = target ABV %, ρ1 = density at C1, ρ2 = density at C2, and ρwater = 0.99823 g/mL at 20°C. The naive formula (V1 × C1 ÷ C2 − V1) is also shown for comparison to illustrate the contraction error.
Reference Data
| ABV % | Density at 20°C g/mL | US Proof | Common Use |
|---|---|---|---|
| 0 | 0.99823 | 0 | Pure water |
| 5 | 0.99103 | 10 | Beer (lager) |
| 10 | 0.98471 | 20 | Wine (light) |
| 15 | 0.97797 | 30 | Fortified wine |
| 20 | 0.96864 | 40 | Liqueurs |
| 25 | 0.95895 | 50 | Soju, sake |
| 30 | 0.94824 | 60 | Light spirits |
| 35 | 0.93625 | 70 | Some liqueurs |
| 37.5 | 0.92980 | 75 | EU minimum spirit |
| 40 | 0.92249 | 80 | Vodka, gin, rum |
| 43 | 0.91440 | 86 | Bourbon (common) |
| 45 | 0.90881 | 90 | Cask strength Scotch |
| 50 | 0.89351 | 100 | Navy strength gin |
| 55 | 0.87768 | 110 | Cask strength whisky |
| 60 | 0.86098 | 120 | High-proof rum |
| 65 | 0.84344 | 130 | New make spirit |
| 70 | 0.82489 | 140 | Distillate cut |
| 75 | 0.80530 | 150 | Heads / tails |
| 80 | 0.78461 | 160 | High-proof distillate |
| 85 | 0.80953 | 170 | Rectified spirit |
| 90 | 0.81849 | 180 | Neutral grain spirit |
| 95 | 0.80458 | 190 | Everclear |
| 96.5 | 0.80043 | 193 | Azeotrope limit |
| 100 | 0.78934 | 200 | Absolute ethanol |