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Alcohol by Volume ABV Calculator

ABV Calculator from Specific Gravity

Enter your measured specific gravity value from before fermentation.
Enter your measured specific gravity value from after fermentation has finished.
Original Extract (OE): 12.39°P
Apparent Extract (AE): 2.56°P
Apparent Attenuation: 80.0%
Alcohol by Weight (Aw/w): 4.09%
Alcohol by Volume (ABV)
5.23%

How this calculator works

This calculator transforms hydrometer readings, measured in specific gravity, into ABV (Alcohol by Volume, Av/v) using advanced formulas. These equations are geared towards use for measuring the ABV of beer - but they'll also work for other fermented products too. To use it, simply input your original gravity and final gravity measurements, taken with a calibrated hydrometer.

The first formula converts SG readings into °Plato, which more directly reflects the sugar content of the wort or beer.

Extract Formula (°Plato) E = 2.569 × 102 · (SG - 1) + 6.7126 · (SG - 1)2 − 1.4482 × 104 · (SG - 1)3 + 5.1758 × 105 · (SG - 1)4 − 1.0746 × 107 · (SG - 1)5 + 1.3011 × 108 · (SG - 1)6 − 8.5079 × 108 · (SG - 1)7 + 2.3231 × 109 · (SG - 1)8

This second equation isnt actually used to calculate the ABV but is generally good to know when measuring fermentability. It expresses the percentage of sugars converted to alcohol and CO₂. Generally a higher attenuation suggests a more crisp, dry beer while a lower attenuation suggests the beer will be sweeter and more full.

Apparent Attenuation Formula Apparent Attenuation (%) = 100 × (OG − FG)/(OG − 1.0)

This step bridges sugar consumption measured in plato with the amount of alcohol produced by weight.

Alcohol by Weight Formula Aw/w = (0.372 + 0.00357 × OE) × (OE − AE)

Finally, the alcohol by weight is converted into the more familiar alcohol by volume (ABV).

Alcohol by Volume Formula (ABV) ABV = ABW × (1.308e-5 + 3.868e-3 × AE + 1.275e-5 × AE² + 6.300e-8 × AE³ + 1)/0.7907

You'll find that this calculator gives results similar to the common formula ((OG−FG)×131.25). The difference really only shows up when you're brewing something with very high or very low ABV. Is this calculator overkill and way more precise than it needs to be? Yes. But you have to admit, its pretty cool.

Key Brewing Terms:

Original Gravity (OG)

The specific gravity of wort before fermentation begins. This measurement indicates the density of dissolved sugars that will be converted to alcohol during fermentation.

Final Gravity (FG)

The specific gravity measurement taken after fermentation is complete. This shows how many sugars remain unfermented, however is skewed as there is alcohol in the sample.

Original Extract (OE)

The percentage of dissolved solids in the wort before fermentation, measured in °Plato. This is converted from Original Gravity using a polynomial equation for greatest accuracy.

Apparent Extract (AE)

The percentage of dissolved solids remaining after fermentation, measured in °Plato. This is converted from Final Gravity using the same polynomial equation.

Apparent Attenuation

The percentage of original gravity that was reduced during fermentation. This indicates how completely the yeast fermented the available sugars.

Alcohol by Weight (Aw/w)

The percentage of alcohol in the finished beverage by weight. This is calculated from the OE and AE values.

Alcohol by Volume (Av/v)

The percentage of alcohol in the finished beverage by volume, which is the standard measurement seen on your favourite can of beer, bottle of wine or cider.

References:

Anthony J. Cutaia, A.-J. R. (2009). Examination of the Relationships Between Original, Real and Apparent Extracts, and Alcohol in Pilot Plant and Commercially Produced Beers. Journal Of the Institute of Brewing, 318-327.
Weissler, H. E., Brewing calculations. In: Handbook of Brewing. 1st Edition. W. A. Hardwick, Ed. Marcel Decker Inc: New York, NY, 1995, pp. 643-706