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Calculator

IBU calculator

How bitter will my beer be?

IBU measures the concentration of isomerised alpha acids in the finished beer, in parts per million. It is a chemical measurement rather than a measure of perceived bitterness, and the two come apart in ways that matter: malt sweetness masks bitterness, so a 60 IBU barley wine can taste less bitter than a 35 IBU dry pilsner.

The calculated figure is also an estimate rather than an analysis. Utilisation — the share of alpha acid that actually isomerises — depends on boil vigour, wort gravity, hop form and time, and the standard formulas are empirical fits to that behaviour rather than physical laws. Treat the number as a design target and a way to compare one recipe with another, not as a value a laboratory would confirm.

Your numbers

Changes are calculated as you type. Nothing is sent anywhere — the arithmetic runs in your browser.

Hop additions

One row per addition. A 60-minute addition supplies most of the bitterness; anything under about ten minutes contributes far more aroma than IBU.

Addition 1
Addition 2

Higher-gravity wort extracts less bitterness, which is why this matters.

Result

  • IBU62 IBU

Working

IBU = Σ (utilisation × grams × alpha% × 10) ÷ litres, where utilisation = bigness × time factor

Calculation steps
StepExpressionValue
Bigness factor1.65 × 0.000125^(SG − 1)1.0528
Addition 1 — 30 g at 12% for 60 minutilisation × g × AA% × 10 ÷ litres41.5 IBU (utilisation 23.1%)
Addition 2 — 40 g at 12% for 10 minutilisation × g × AA% × 10 ÷ litres20.1 IBU (utilisation 8.4%)

What it means

Treat the result as a target to brew consistently against rather than a prediction of what a lab would measure.

Worked example

The example above starts from these values. It is rendered on the server, so the formula, assumptions and limitations are all present whether or not you change anything.

  • Result62 IBU

Inputs

Batch volume20 L
Boil gravity1.050
Hop additions2

How it is calculated

IBU = Σ (utilisation × grams × alpha% × 10) ÷ litres, where utilisation = bigness × time factor

What each term means

bignessReduction in utilisation as wort gravity rises: 1.65 × 0.000125^(SG − 1)
time factor(1 − e^(−0.04 × minutes)) ÷ 4.15
alpha%Alpha acid content of the hop, as a percentage

Step by step

StepExpressionValue
Bigness factor1.65 × 0.000125^(SG − 1)1.0528
Addition 1 — 30 g at 12% for 60 minutilisation × g × AA% × 10 ÷ litres41.5 IBU (utilisation 23.1%)
Addition 2 — 40 g at 12% for 10 minutilisation × g × AA% × 10 ÷ litres20.1 IBU (utilisation 8.4%)

What this assumes

  • Uses the Tinseth utilisation model, which is the most widely adopted of several competing models.
  • Pellet hops; whole cones extract slightly less.
  • Additions after flameout contribute no isomerised bitterness in this model.

Where it stops being reliable

  • IBU models disagree with each other by 20% or more on the same recipe. Tinseth, Rager and Garetz all give different answers, and none is authoritative.
  • Calculated IBU frequently differs substantially from measured IBU in the finished beer, because losses to trub, yeast and packaging are not modelled.
  • IBU is not perceived bitterness. Residual sweetness, body and roast all change how bitter a beer tastes at the same measured value — a 60 IBU imperial stout tastes far less bitter than a 60 IBU West Coast IPA.
  • Whirlpool and dry-hop additions contribute aroma and flavour that this number does not capture at all.

What the number means

Treat the result as a target to brew consistently against rather than a prediction of what a lab would measure.

Empirical approximation. A curve fitted to measured data. It has real error bars, and it is frequently quoted as though it were exact.

Sources: Tinseth hop utilisation model.