Henry's Law Calculator (Gas Solubility in Water)

The amount of gas that dissolves in a liquid is proportional to the partial pressure of that gas above it. This Henry's law calculator turns a Henry's constant and a partial pressure into a dissolved concentration — the same relationship that sets the saturation value an optical dissolved oxygen sensor reads against.

mol/(L·atm)
g/mol
mmol/L
calculated
mg/L
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Type in any field to change it. Press × on a value to calculate that field instead.

How to use the Henry’s law calculator

Enter the gas’s Henry’s law constant (solubility form, mol/(L·atm)), its partial pressure above the liquid and its molar mass. The calculator returns the equilibrium dissolved concentration in mmol/L and mg/L. Clear the partial pressure and enter a concentration to find the pressure needed instead.

Henry’s law formula

c = kH × p  ·  c[mg/L] = c[mmol/L] × M

Example

Oxygen from air (p = 0.2095 atm) dissolving in water at 25 °C, k_H = 1.3 × 10⁻³ mol/(L·atm):

  • c = 1.3 × 10⁻³ × 0.2095 = 2.723 × 10⁻⁴ mol/L = 0.2723 mmol/L
  • c = 0.2723 × 31.998 = 8.71 mg/L

Measured air-saturation values for fresh water at 25 °C are about 8.3 mg/L; the difference comes from the rounded constant and the water vapour that slightly lowers the O₂ partial pressure.

Henry’s law constants in water at 25 °C

Gas k_H (mol/(L·atm)) 1/k_H (L·atm/mol) Solubility at 1 atm partial pressure In equilibrium with air
Oxygen (O₂) 0.0013 769 41.6 mg/L 8.71 mg/L
Nitrogen (N₂) 0.00061 1,639 17.1 mg/L 13.3 mg/L
Carbon dioxide (CO₂) 0.034 29 1,496.3 mg/L 0.628 mg/L
Argon (Ar) 0.0014 714 55.9 mg/L 0.522 mg/L
Hydrogen (H₂) 0.00078 1,282 1.6 mg/L —
Helium (He) 0.00037 2,703 1.5 mg/L —
Carbon monoxide (CO) 0.00095 1,053 26.6 mg/L —

Constants from standard compilations (Sander); the air column uses sea-level partial pressures (CO₂ at 420 ppm).

Notes

  • Henry’s law holds for dilute solutions of gases that do not react with the solvent. CO₂ partly reacts to carbonic acid, so total dissolved carbon is higher at high pH.
  • Partial pressures in a gas mixture follow Dalton’s law.

Frequently asked questions

What is Henry's law?

At constant temperature, the concentration of a gas dissolved in a liquid is proportional to its partial pressure above the liquid — c = k_H × p. Doubling the partial pressure doubles the dissolved amount.

Why are there different forms of Henry's constant?

Some tables give solubility constants k_H = c/p (mol/(L·atm), used here); others give volatility constants k_H = p/c (L·atm/mol) or p/x (atm). The volatility form is simply the reciprocal, so check the units before using a table value.

How does temperature affect gas solubility?

Most gases become less soluble as water warms — k_H for oxygen falls by roughly a third from 10 °C to 30 °C. That is why warm water holds less dissolved oxygen.

Why does a soda fizz when opened?

It is bottled under several atmospheres of CO₂. Opening it drops the CO₂ partial pressure to about 0.0004 atm, so the dissolved CO₂ is far above its new equilibrium and comes out as bubbles.

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