Science: Carbonation Physics (Henry’s Law)

by John Brewster
5 minutes read
Science: Carbonation Physics (Henry's Law)

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Henry’s Law governs carbonation in beer, it’s the physical law that determines how much CO₂ dissolves in beer at a given pressure and temperature, and understanding it precisely is what separates reliable, repeatable carbonation from guesswork. I’ve applied Henry’s Law to force carbonation, natural carbonation, and carbonation correction hundreds of times, and the physics is simple enough that every homebrewer can use it directly rather than relying on carbonation charts they don’t understand.

Carbonation physics: Henry’s Law applied to beer

Henry’s Law stated: Henry’s Law states that at constant temperature, the amount of gas dissolved in a liquid is proportional to the partial pressure of that gas above the liquid. Mathematically: C = kH × P. Where C is the concentration of dissolved gas (volumes of CO₂ per volume of liquid, or g/L), kH is Henry’s constant for CO₂ in beer at a given temperature, and P is the pressure of CO₂ above the liquid. For CO₂ in beer, the Henry’s constant varies significantly with temperature, this is why temperature is as critical as pressure in carbonation. CO₂ solubility values (volumes CO₂ at equilibrium): These values represent the CO₂ in solution when beer has reached equilibrium with CO₂ pressure overhead. At 0°C and 1 bar: approximately 2.9 volumes CO₂. At 4°C and 1 bar: approximately 2.6 volumes CO₂. At 10°C and 1 bar: approximately 2.1 volumes CO₂. At 20°C and 1 bar: approximately 1.6 volumes CO₂. CO₂ solubility decreases significantly with temperature, this is why warm beer loses carbonation when poured and why carbonation calculations require accurate temperature knowledge. Practical force carbonation using Henry’s Law: Target CO₂ volumes by style: American lager/pale ale: 2.5–2.8 volumes. British ale/stout: 1.5–2.0 volumes. Hefeweizen: 3.5–4.0 volumes. Belgian strong ale: 3.0–3.5 volumes. The required pressure to reach a target volume at a given temperature: P (psi) = (target volumes × 14.7) / kH(T). For a simplified brewery approximation: pressure (PSI) ≈ target volumes × temperature factor. At 0°C (32°F): 1 volume ≈ 0.5 PSI. At 2°C (35°F): 1 volume ≈ 0.6 PSI. At 4°C (38°F): 1 volume ≈ 0.7 PSI. Example: to carbonate to 2.5 volumes at 2°C: 2.5 × 0.6 ≈ 1.5 PSI… this is actually too low, real carbonation charts account for the non-linearity. The accurate force carbonation pressure at 2°C for 2.5 volumes is approximately 8–10 PSI. Using a force carbonation chart (which I highly recommend for practical use) gives exact PSI values at specific temperatures without the approximation error. Natural carbonation and Henry’s Law: Bottle conditioning uses fermentable sugar addition to produce CO₂ in a sealed container. The amount of CO₂ produced: each gram of glucose (or dextrose) fermented by residual yeast produces approximately 0.51 g CO₂ per gram sugar. To add 2.5 volumes CO₂ to 20L of beer at packaging: residual CO₂ at packaging (assume 1.0 volume remaining at 20°C): 2.5 – 1.0 = 1.5 volumes additional CO₂ needed. CO₂ per litre at 1.5 volumes: 1.5 × 1.977 g/L (CO₂ density) = 2.97 g CO₂ per litre. For 20L: 59.4 g CO₂ needed. Sugar required: 59.4 / 0.51 = 116 g dextrose for 20L. Simplified priming sugar calculator: approximately 5–6 g dextrose per litre gives ≈2.4–2.6 volumes CO₂ at typical packaging temperatures (20–22°C). Temperature and carbonation in Indian brewing: Indian ambient temperatures of 25–35°C present a significant challenge for bottle conditioning, yeast re-ferments sugar faster but CO₂ solubility at packaging temperature is lower, requiring more sugar for equivalent volumes. Conditioning in the refrigerator (5–8°C) after initial carbonation is strongly recommended to prevent overcarbonation and increase CO₂ uptake into solution.

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Common Questions

Why does temperature of my beer at bottling matter so much for carbonation?

The temperature at which you bottle your beer matters for carbonation because it determines how much CO₂ is already dissolved in the beer before you add priming sugar, and getting this wrong is the most common cause of over- and undercarbonated homebrew. Here’s the physical reason: beer naturally retains dissolved CO₂ from fermentation proportional to the coldest temperature it reached during fermentation. If you fermented at 20°C and the beer reached 20°C throughout, it contains approximately 0.8–0.9 volumes of CO₂ at packaging (residual CO₂ from fermentation at that temperature). If you cold-crashed to 2°C, the beer absorbed more CO₂ and contains approximately 1.2–1.6 volumes of residual CO₂ (depending on head pressure and duration). The priming calculator requires the highest temperature reached since active fermentation ended, this gives the most conservative (lowest) estimate of retained CO₂, which leads to the correct priming sugar addition. Common Indian homebrewing error: brewing in a room at 30°C but forgetting that the beer may have fermented at 26–28°C internal temperature due to fermentation heat. The retained CO₂ at 28°C is only about 0.5–0.6 volumes. If you use 20°C for your priming calculator, you overestimate residual CO₂, add too little sugar, and get undercarbonated beer. Always use the actual temperature of the beer at bottling (or the warmest temperature since active fermentation ended, whichever is higher) in your priming calculator. In hot Indian kitchens, this often means using 28–32°C as your packaging temperature, which requires more priming sugar than standard calculator defaults suggest.

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