.Bodylight.Chemical.Components.GasSolubility

Henry's law of gas solubility in liquid.

Information

Concentration_Liquid = k_H · Concentration_Gas

Henry's law: The concentration of the gas in the liquid is proportional to the partial pressure of the gas during equilibrium.

Relations

k_d·A·c_gas	dissolution rate
k_v·A·c_liquid	volatility rate
k_H = k_d/k_v = c_liquid/c_gas	equilibrium
log(k_H/K_H0) = (-ΔH/R)·(1/T_heatPort - 1/T_K)	van't Hoff's equation
Δ_rG⁰= ΔH - T·ΔS = -R·T·log(K_H)	Gibb's energy
ΔS = k·log(Ω)	entropy

Notations

c_gas	gaseous molar concentration of the substance
c_liquid	liquid molar concentration of the substance
K_H	Henry's coeficient at current temperature T
k_d	dissolution rate coefficient in liquid at current temperature T
k_v	volatility rate coefficient at current temperature T
A	surface area between gas and liquid
ΔH	enthalpy of dissolution
T_heatPort	current temperature T
K_H0	tabulated Henry's constant at base temperature T_K
T_K	base temperature of tabulated coefficients
Ω	change of number of ways of arranging molecules
ΔS	entropy of the dissolution
Δ_sG⁰	Gibb's energy of the dissolution

Henry's coefficient k_H depends on temperature and on the identities of all substances present in solution.

Water fraction (W_solution, plasma 0.94, RBC 0.65 => blood 0.81 ml/ml) in solution can change the solubility of gases in water [1] as c_pure=c_solution/W_solution.

References

[1] Dash RK, Bassingthwaighte JB. Erratum to: Blood HbO2 and HbCO2 dissociation curves at varied O2, CO2, pH, 2, 3-DPG and temperature levels. Ann Biomed Eng 2010;38:1683-701.

Revisions

2009-2015 by Marek Matejak, Charles University, Prague, Czech Republic

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