Proofing down: how much water to add to spirit

Bringing spirit down to drinking or bottling strength takes a simple sum, and a little more water than it gives.

Updated

In short

Water to add = volume × (strength now ÷ target strength − 1). For 2 L at 65% taken to 40%, that is 2 × (65 ÷ 40 − 1) = 1.25 L of water, for 3.25 L in all. Add most of it, then the rest slowly while you measure, because alcohol and water shrink a little when they mix.

The sum

The alcohol in the spirit stays the same when you add water; only the volume around it grows. So the final volume is the volume now × the strength now ÷ the target strength, and the water is the difference.

final volume = volume × strength now ÷ target

water = final volume − volume

Use the true strength, corrected for temperature. Warm spirit reads high on an alcoholmeter, and a strength a degree or two out shifts the water noticeably. The alcoholmeter correction on the home page does that.

Water for each litre of spirit

Strength nowWater to 45%Water to 40%
60%333 mL500 mL
65%444 mL625 mL
70%556 mL750 mL
80%778 mL1,000 mL
90%1,000 mL1,250 mL

Multiply by the litres you have: 3 L at 70% to 40% needs 3 × 750 mL = 2.25 L of water.

Why it takes a little more water

Alcohol and water shrink when mixed: a litre of each makes a little less than two litres. The sum gets the final volume right, but reaching it takes roughly 1 to 2% of that volume in extra water, and adding exactly the water it gives leaves the spirit a few tenths of a percent over target. So add about nine tenths of the water, let it settle and come to temperature, measure, and add the rest gradually until it reads right.

Tips for a clean result