Diffusion Coefficient vs. Temperature
Diffusion Coefficients of Gases in Water vs Temperature Graph

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At atmospheric pressure. Only gases with 4 or more data points are plotted.

Toggle data sets by clicking the legend.

Diffusion Coefficients of Gases in Water
Fick's First Law

A substance dissolved in a liquid flows from regions of high concentration to regions of low concentration. Fick's first law quantifies this flux:

J = −D  dφ/dx

where:

  • J — diffusion flux: amount of substance flowing through a unit area per unit time (kg/(m²·s) or mol/(m²·s))
  • D — diffusion coefficient (m²/s)
  • — change in concentration (kg/m³ or mol/m³)
  • dx — change in length (m)

For simple one-dimensional transport, D describes the time-rate of change of concentration. It varies from substance to substance and increases with temperature.

Note: Gas–liquid diffusion coefficients are difficult to measure. Values below are compiled from different sources and measuring methods, so some uncertainty in the values should be expected.

Gases Dissolved in Water: Diffusion Coefficients

Diffusion coefficient D (×10⁻⁵ cm²/s) at atmospheric pressure

Name Formula 10 °C 15 °C 20 °C 25 °C 30 °C 35 °C
50 °F 59 °F 68 °F 77 °F 86 °F 95 °F
AcetyleneC₂H₂1.431.591.781.992.23
AmmoniaNH₃1.301.50
ArgonAr2.50
BromomethaneCH₃Br1.35
Carbon dioxideCO₂1.261.451.671.912.172.47
ChlorineCl₂1.131.501.89
ChloromethaneCH₃Cl1.40
DichlorofluoromethaneCHCl₂F1.80
HeliumHe5.676.186.717.287.878.48
HydrogenH₂3.624.084.585.115.696.31
Hydrogen bromideHBr3.15
Hydrogen chlorideHCl3.07
Hydrogen sulfideH₂S1.36
KryptonKr1.201.391.601.842.112.40
MethaneCH₄1.241.431.621.842.082.35
NeonNe2.933.273.644.034.454.89
NitrogenN₂2.00
Nitrogen dioxideNO₂1.231.401.59
Nitrous oxideN₂O1.622.112.57
OxygenO₂1.672.012.42
RadonRn0.810.961.131.331.551.80
Sulfur dioxideSO₂1.621.832.072.32
XenonXe0.931.081.271.471.701.95

Values are from different sources and measuring methods, some uncertainty should be expected.

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