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# Gases Solved in Water - Diffusion Coefficients

Fick's first law states that a substance will flow from region with high concentration to a region of low concentration . Fick's law can be expressed as

J = -D*dφ/dx                     [1]

where
J = diffusion flux - the amount of substance that flows through an unit area per unit time [mass or mol /(m2s)]
D = diffusion coefficient [m2/s]
dφ = change in concentration of substance [mass or mol/m3 ]
dx = change in length [m]

For simple one-dimensional transport, the diffusion coefficient describes the time–rate of change of concentration . The diffusion coefficient varies from substance to substance and with temperature.

See Water and Heavy Water - thermodynamic properties.
See also Water Boiling points at high pressure , Boiling points at vacuum pressure , Density, specific weight and thermal expansion coefficient , Dynamic and kinematic viscosity , Enthalpy and entropy , Heat of vaporization , Ionization Constant, pK w , of normal and heavy water , Melting points at high pressure , Saturation pressure , Specific gravity , Specific heat (heat capacity) and Specific volume for online calculatores, and similar figures and tables as shown below, as well as Air - Diffusion Coefficients of Gases in Excess of Air

.

Diffusion coefficients for some common gases in water:
(Gas–liquid diffusion coefficients are difficult to measure, and since the values below are from different sources and different measuring methods, there is some uncertainty about the values)

 Gas in water Diffusion coefficient, D, [x10 -5 cm2/s ] at atmospheric pressure and given temperatures 10 °C 15 °C 20 °C 25 °C 30 °C 35 °C Name Formula 50 °F 59 °F 68 °F 77 °F 86 °F 95 °F Acetylene C2H2 1.43 1.59 1.78 1.99 2.23 Ammonia NH3 1.30 1.50 Argon Ar 2.50 Bromomethane CH3Br 1.35 Carbon dioxide CO2 1.26 1.45 1.67 1.91 2.17 2.47 Chlorine Cl2 1.13 1.50 1.89 Chloromethane CH3Cl 1.40 Dichlorofluorumethane CHCl2F 1.80 Helium He 5.67 6.18 6.71 7.28 7.87 8.48 Hydrogen H2 3.62 4.08 4.58 5.11 5.69 6.31 Hydrogen bromide HBr 3.15 Hydrogen chloride HCl 3.07 Hydrogen sulfide H2S 1.36 Krypton Kr 1.20 1.39 1.60 1.84 2.11 2.40 Methane CH4 1.24 1.43 1.62 1.84 2.08 2.35 Neon Ne 2.93 3.27 3.64 4.03 4.45 4.89 Nitrogen N2 2.00 Nitrogen dioxide NO2 1.23 1.40 1.59 Nitrous oxide N2O 1.62 2.11 2.57 Oxygen O2 1.67 2.01 2.42 Radon Rn 0.81 0.96 1.13 1.33 1.55 1.80 Sulfur dioxide SO2 1.62 1.83 2.07 2.32 Xenon Xe 0.93 1.08 1.27 1.47 1.70 1.95

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