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CALCPARK

Alcohol Dilution Calculator

How much water to add to dilute a spirit from one ABV to another, or how much spirit and water make a target volume, with the Pearson square and a contraction note.

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How to use it

  1. Choose the mode: start from a known volume of spirit, or from the final volume you want.
  2. Enter the volume and its unit (the unit is only a label – ratios are the same in ml, litres or fluid ounces).
  3. Enter the spirit’s strength and the target strength in % ABV (divide US proof by 2).
  4. If you are blending with something other than water, enter the diluent’s strength; otherwise leave it at 0.
  5. Read the amount of water, the nominal final volume, the Pearson-square parts and the contraction estimate; copy the summary for your notes.

Example

1,000 ml of new-make spirit at 60% ABV, target 40%: water = 1,000 × (60 ÷ 40 − 1) = 500 ml, nominal total 1,500 ml containing 600 ml of pure alcohol. Because the mix contracts by about 3% at this strength, expect roughly 1,454 ml at about 41.3% – so hold back a little water, let it rest, measure, and top up. In reverse mode, asking for 1,500 ml at 40% from the same 60% spirit returns 1,000 ml spirit + 500 ml water.

Formulas and the contraction estimate

C₁ · V₁ = C₂ · V₂
water to add    = V₁ · (C₁ − C₂) / (C₂ − D)          D = diluent strength (0 for water)
spirit for V₂   = V₂ · (C₂ − D) / (C₁ − D);   diluent = V₂ − spirit
Pearson square  : parts spirit = C₂ − D,  parts diluent = C₁ − C₂
contraction (approx.) ≈ 0.128 · x · (1 − x),  x = target ABV / 100   (≈ 3.2 % at 50 %)

The volumes are nominal, i.e. what you measure out before mixing. Real ethanol–water mixtures occupy less space than the sum of their parts: 52 ml of ethanol and 48 ml of water give about 96.8 ml, not 100 ml. The parabola above approximates that effect for a first estimate; the exact figures depend on temperature and are tabulated in the OIML and TTB alcoholometric tables. Strengths here are by volume at 20 °C. For legal labelling or duty purposes use a calibrated hydrometer or density meter and the official tables, not this calculator.

Sources: OIML R 22 – International alcoholometric tables, US TTB – Gauging manual and dilution tables (27 CFR Part 30).

Home distillation is illegal in many countries. This tool is for diluting legally obtained spirits, essences and laboratory solutions.

Questions

Why is my diluted spirit stronger than the target?
Volume contraction: the mix takes up less space than spirit plus water, so the alcohol share rises by about 1–1.5 percentage points near 40%. Add the water in stages, rest the mix, measure with a hydrometer and adjust.
Can I dilute by weight instead?
Yes, and it avoids the contraction problem, but you need density tables: 40% ABV spirit weighs 0.948 kg per litre at 20 °C, water 0.998 kg. This calculator works by volume only.
What water should I use?
Distilled, deionised or reverse-osmosis water. Tap water adds minerals and chlorine that cloud and flavour the spirit; very hard water can produce a haze.