Hop Utilization Calculator
Calculate IBU contributions using the Tinseth formula based on hop weight, alpha acid, boil time, and wort gravity.
About this calculator
Not all the alpha acid in a hop addition ends up as bitterness in the glass — boiling isomerizes only a fraction of it, and that fraction (utilization) depends heavily on wort gravity and boil time. This calculator implements the Tinseth formula, the most widely used utilization model in homebrewing software: utilization = f(gravity) × f(time), where f(gravity) = 1.65 × 0.000125^(wort gravity − 1) captures the fact that denser wort suppresses isomerization, and f(time) = (1 − e^(−0.04 × boil time)) / 4.15 captures the diminishing-returns curve of bitterness extraction over the boil — most utilization happens in the first 30-40 minutes, with long boils adding relatively little more. IBU is then hop weight (oz) × alpha acid (as a decimal) × utilization × 7490, divided by batch volume in gallons — 7490 is the standard Tinseth constant that converts those units into parts-per-million of iso-alpha acid.
Alpha Acid Units (AAU), also reported, is simply hop weight × alpha acid percentage, a simpler (non-time-adjusted) figure some recipes use for quick hop-bag sizing. The built-in chart holds wort gravity fixed while sweeping boil time from 0 to 90 minutes, which is a simplification — in a real boil, gravity rises as water evaporates, gradually suppressing utilization further as the boil progresses, an effect this single-gravity-point model doesn't capture. Late hop additions with short remaining boil times will show sharply lower IBU contribution than a full 60-minute addition, even at identical hop weight and alpha acid.
Inputs
Results
IBU
20.7
How to Use This Calculator
- Enter hop weight (oz or g), alpha acid percentage, and boil time in minutes.
- Set batch volume (gallons) and wort gravity (SG) at time of hop addition.
- Review IBU, Hop Utilization (%), and Alpha Acid Units.
- Adjust boil time or hop weight to hit your target bitterness level.
How the result changes with Wort Gravity
| Wort Gravity | IBU |
|---|---|
| 1.01 | 29.7 |
| 1.04 | 22.7 |
| 1.08 | 15.8 |
| 1.11 | 12.1 |
What each input means
- Hop Weight
- Weight of the hop addition in ounces.
- Alpha Acid
- Alpha acid percentage of the hops. Check the package or supplier specs. Ranges from 2% (noble) to 20%+ (super alpha).
- Boil Time
- Minutes the hops will boil. Longer boil = more bitterness, less hop flavor/aroma.
- Batch Volume
- Final batch volume in gallons. Post-boil volume into the fermenter.
- Wort Gravity
- Specific gravity of the wort. Higher gravity reduces hop utilization. Enter as decimal (e.g., 1.050).
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersHop Weight = 1, Alpha Acid = 6, Boil Time = 60, Batch Volume = 5 = 5 input(s) provided
- Calculate IBUIBU = ibuAtTime20.7 = 20.7
- Calculate Hop UtilizationHop Utilization23.1 = 23.1
- Calculate Alpha Acid Units6 = 6
Engine last updated . Checked against 1 independently-derived test — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why does raising Wort Gravity lower my calculated IBU even if everything else stays the same?
The Tinseth formula's gravity factor, f(gravity) = 1.65 × 0.000125^(wort gravity − 1), gets smaller as wort gravity rises, modeling the real chemistry that denser, sugar-heavier wort suppresses the isomerization reaction that converts alpha acid into bitterness. This calculator uses a single fixed gravity value for the whole boil, so entering the gravity at the time of the hop addition — not your final original gravity — gives the most accurate utilization estimate for that addition.
Why does a 60-minute boil add so much more IBU than a 90-minute boil for the same hop addition?
It doesn't, but the gain from 60 to 90 minutes is much smaller than the gain from 0 to 60, because the time factor f(time) = (1 − e^(−0.04 × boil time)) / 4.15 follows a diminishing-returns curve — most of the achievable utilization happens in the first 30-40 minutes, and additional boil time keeps adding IBU but at a steadily shrinking rate.
What's the difference between the IBU figure and the Alpha Acid Units (AAU) this calculator also reports?
IBU accounts for how much of the hop's alpha acid actually isomerizes into bitterness given your specific boil time and wort gravity, via the full Tinseth formula. AAU is just hop weight times alpha acid percentage, with no time or gravity adjustment at all — it's a quick, simplified figure some recipes use for hop-bag sizing or scaling a recipe, not a bitterness prediction.
Why does the built-in IBU-vs-boil-time chart look off for a late hop addition with a short remaining boil?
The chart sweeps boil time from 0 to 90 minutes while holding your entered wort gravity fixed at a single value, so it correctly shows sharply lower IBU for short boil times — that part matches real late-addition behavior. What it doesn't capture is that in an actual boil, gravity itself keeps rising as water evaporates, which would suppress utilization further as the boil progresses; this calculator's single-gravity-point model doesn't account for that rising concentration.
Related Calculators
The questions that sit next to this one — chosen by subject, including calculators filed under a different category.
ABV Calculator
Calculate Alcohol By Volume (ABV) from original and final gravity readings. Essential for home brewers and winemakers.
BrewingAll-Grain Recipe Calculator
Calculate grain weight and water volumes for all-grain brewing based on batch size, target gravity, and mash efficiency.
BrewingMash Efficiency Calculator
Measure your actual mash efficiency by comparing extracted gravity points to the maximum potential from your grain bill.
BrewingKeg Carbonation Calculator
Calculate the correct CO2 pressure (PSI) to carbonate your keg based on target carbonation volumes and beer temperature.
More in Cooking, Food & Beverage.