Henry's Law Constants

Rolf Sander

Atmospheric Chemistry Division

Max-Planck Institute for Chemistry
Mainz, Germany

Errata

Contact, Imprint, Acknowledgements

When referring to the compilation of Henry's Law Constants, please cite this publication:

R. Sander: Compilation of Henry's law constants (version 5.0.0) for water as solvent, Atmos. Chem. Phys., 23, 10901-12440 (2023), doi:10.5194/acp-23-10901-2023

The publication from 2023 replaces that from 2015, which is now obsolete. Please do not cite the old paper anymore.

Henry's Law Constants → Inorganic species → Sulfur (S) → hydrogen sulfide

FORMULA:	H₂S
CAS RN:	7783-06-4
STRUCTURE (FROM NIST):
InChIKey:	RWSOTUBLDIXVET-UHFFFAOYSA-N

$H_{s}^{cp}$	$d ln H_{s}^{cp} / d (1/ T)$	References	Type	Notes
[mol/(m³Pa)]	[K]
1.0×10⁻³	2100	Burkholder et al. (2019)	L	1)
1.0×10⁻³	2100	Burkholder et al. (2015)	L	1)
1.0×10⁻³	2100	Sander et al. (2011)	L	1)
1.0×10⁻³	2100	Sander et al. (2006)	L	1)
1.0×10⁻³	2000	Fernández-Prini et al. (2003)	L	3)
1.0×10⁻³	2200	Carroll and Mather (1989)	L
1.0×10⁻³	2000	Fogg and Young (1988)	L	1) 167)
1.0×10⁻³	2000	Yoo et al. (1986)	L	1)
1.0×10⁻³	2100	Edwards et al. (1978)	L	1)
1.0×10⁻³	2100	Wilhelm et al. (1977)	L
9.1×10⁻⁴	1700	Rinker and Sandall (2000)	M
9.2×10⁻⁴	1600	Munder et al. (2000)	M
8.6×10⁻⁴	2100	De Bruyn et al. (1995b)	M
1.1×10⁻³	2300	Suleimenov and Krupp (1994)	M	1)
1.2×10⁻³	1700	Tsuji et al. (1990)	M	63)
9.4×10⁻⁴	2300	Barrett et al. (1988)	M
1.0×10⁻³	2100	Clarke and Glew (1971)	M	168)
1.0×10⁻³	2300	Winkler (1907)	M
1.0×10⁻³	2100	Winkler (1906)	M
1.1×10⁻³	2000	Schoenfeld (1855)	M	169)
9.6×10⁻⁴	2000	Iliuta and Larachi (2007)	R	1)
1.0×10⁻³		Hine and Weimar (1965)	R
1.0×10⁻³	2300	Edwards et al. (1975)	T	1)
7.0×10⁻⁴		Hayer et al. (2022)	Q	20)
1.0×10⁻³	2000	Yaws et al. (1999)	?	21)
1.0×10⁻³	2100	Dean and Lange (1999)	?	23) 170)
		Chapoy et al. (2005)	W	1) 171)

Data

The first column contains Henry's law solubility constant

H_{s}^{cp}

at the reference temperature of 298.15 K.
The second column contains the temperature dependence

d ln H_{s}^{cp} / d
(1/ T)

, also at the reference temperature.

References

Barrett, T. J., Anderson, G. M., & Lugowski, J.: The solubility of hydrogen sulphide in 0–5m NaCl solutions at 25∘-95∘C and one atmosphere, Geochim. Cosmochim. Acta, 52, 807–811, doi:10.1016/0016-7037(88)90352-3 (1988).
Burkholder, J. B., Sander, S. P., Abbatt, J., Barker, J. R., Huie, R. E., Kolb, C. E., Kurylo, M. J., Orkin, V. L., Wilmouth, D. M., & Wine, P. H.: Chemical Kinetics and Photochemical Data for Use in Atmospheric Studies, Evaluation No. 18, JPL Publication 15-10, Jet Propulsion Laboratory, Pasadena, URL https://jpldataeval.jpl.nasa.gov (2015).
Burkholder, J. B., Sander, S. P., Abbatt, J., Barker, J. R., Cappa, C., Crounse, J. D., Dibble, T. S., Huie, R. E., Kolb, C. E., Kurylo, M. J., Orkin, V. L., Percival, C. J., Wilmouth, D. M., & Wine, P. H.: Chemical Kinetics and Photochemical Data for Use in Atmospheric Studies, Evaluation No. 19, JPL Publication 19-5, Jet Propulsion Laboratory, Pasadena, URL https://jpldataeval.jpl.nasa.gov (2019).
Carroll, J. J. & Mather, A. E.: The solubility of hydrogen sulphide in water from 0 to 90∘C and pressures to 1 MPa, Geochim. Cosmochim. Acta, 53, 1163–1170, doi:10.1016/0016-7037(89)90053-7 (1989).
Chapoy, A., Mohammadi, A. H., Tohidi, B., Valtz, A., & Richon, D.: Experimental measurement and phase behavior modeling of hydrogen sulfide-water binary system, Ind. Eng. Chem. Res., 44, 7567–7574, doi:10.1021/IE050201H (2005).
Clarke, E. C. W. & Glew, D. N.: Aqueous nonelectrolyte solutions. Part VIII. Deuterium and hydrogen sulfides solubilities in deuterium oxide and water, Can. J. Chem., 49, 691–698, doi:10.1139/V71-116 (1971).
Dean, J. A. & Lange, N. A.: Lange’s Handbook of Chemistry, Fifteenth Edition, McGraw-Hill, Inc., ISBN 9780070163843 (1999).
De Bruyn, W. J., Swartz, E., Hu, J. H., Shorter, J. A., Davidovits, P., Worsnop, D. R., Zahniser, M. S., & Kolb, C. E.: Henry’s law solubilities and Śetchenow coefficients for biogenic reduced sulfur species obtained from gas-liquid uptake measurements, J. Geophys. Res., 100, 7245–7251, doi:10.1029/95JD00217 (1995b).
Edwards, T. J., Newman, J., & Prausnitz, J. M.: Thermodynamics of aqueous solutions containing volatile weak electrolytes, AIChE J., 21, 248–259, doi:10.1002/AIC.690210205 (1975).
Edwards, T. J., Maurer, G., Newman, J., & Prausnitz, J. M.: Vapor-liquid equilibria in multicomponent aqueous solutions of volatile weak electrolytes, AIChE J., 24, 966–976, doi:10.1002/AIC.690240605 (1978).
Fernández-Prini, R., Alvarez, J. L., & Harvey, A. H.: Henry’s constants and vapor-liquid distribution constants for gaseous solutes in H₂O and D₂O at high temperatures, J. Phys. Chem. Ref. Data, 32, 903–916, doi:10.1063/1.1564818 (2003).
Fogg, P. G. T. & Young, C. L.: IUPAC Solubility Data Series, Volume 32, Hydrogen Sulfide, Deuterium Sulfide and Hydrogen Selenide, Pergamon Press, Oxford, doi:10.1016/C2009-0-00348-1 (1988).
Hayer, N., Jirasek, F., & Hasse, H.: Prediction of Henry’s law constants by matrix completion, AIChE J., 68, e17 753, doi:10.1002/AIC.17753 (2022).
Hine, J. & Weimar, Jr., R. D.: Carbon basicity, J. Am. Chem. Soc., 87, 3387–3396, doi:10.1021/JA01093A018 (1965).
Iliuta, M. C. & Larachi, F.: Solubility of total reduced sulfurs (hydrogen sulfide, methyl mercaptan, dimethyl sulfide, and dimethyl disulfide) in liquids, J. Chem. Eng. Data, 52, 2–19, doi:10.1021/JE060263U (2007).
Munder, B., Lidal, H., & Sandall, O. C.: Physical solubility of hydrogen sulfide in aqueous solutions of 2-(tert-butylamino)ethanol, J. Chem. Eng. Data, 45, 1201–1204, doi:10.1021/JE000166F (2000).
Rinker, E. B. & Sandall, O. C.: Physical solubility of hydrogen sulfide in several aqueous solvents, Can. J. Chem. Eng., 78, 232–236, doi:10.1002/CJCE.5450780130 (2000).
Sander, S. P., Friedl, R. R., Golden, D. M., Kurylo, M. J., Moortgat, G. K., Keller-Rudek, H., Wine, P. H., Ravishankara, A. R., Kolb, C. E., Molina, M. J., Finlayson-Pitts, B. J., Huie, R. E., & Orkin, V. L.: Chemical Kinetics and Photochemical Data for Use in Atmospheric Studies, Evaluation Number 15, JPL Publication 06-2, Jet Propulsion Laboratory, Pasadena, CA, URL https://jpldataeval.jpl.nasa.gov (2006).
Sander, S. P., Abbatt, J., Barker, J. R., Burkholder, J. B., Friedl, R. R., Golden, D. M., Huie, R. E., Kolb, C. E., Kurylo, M. J., Moortgat, G. K., Orkin, V. L., & Wine, P. H.: Chemical Kinetics and Photochemical Data for Use in Atmospheric Studies, Evaluation No. 17, JPL Publication 10-6, Jet Propulsion Laboratory, Pasadena, URL https://jpldataeval.jpl.nasa.gov (2011).
Schoenfeld, F.: Ueber den Absorptionscoëfficienten der schwefligen Säure, des Chlors und des Schwefelwasserstoffs, Liebigs Ann. Chem., 95, 1–23, doi:10.1002/JLAC.18550950102 (1855).
Suleimenov, O. M. & Krupp, R. E.: Solubility of hydrogen sulfide in pure water and in NaCl solutions, from 20 to 320∘C and at saturation pressures, Geochim. Cosmochim. Acta, 58, 2433–2444, doi:10.1016/0016-7037(94)90022-1 (1994).
Tsuji, M., Nakano, T., & T.Okuno: Desorption of odor substances from water bodies to the atmosphere, Atmos. Environ., 24, 2019–2021, doi:10.1016/0960-1686(90)90236-G (1990).
Wilhelm, E., Battino, R., & Wilcock, R. J.: Low-pressure solubility of gases in liquid water, Chem. Rev., 77, 219–262, doi:10.1021/CR60306A003 (1977).
Winkler, L. W.: Gesetzmässigkeit bei der Absorption der Gase in Flüssigkeiten, Z. Phys. Chem., 55, 344–354, doi:10.1515/ZPCH-1906-5518 (1906).
Winkler, L.: A gázok oldhatósága vzben (Solubility of gases in water), Math. Termész. Értesitö, 25, 86–108 (1907).
Yaws, C. L., Hopper, J. R., Wang, X., Rathinsamy, A. K., & Pike, R. W.: Calculating solubility & Henry’s law constants for gases in water, Chem. Eng., pp. 102–105 (1999).
Yoo, K.-P., Lee, S. Y., & Lee, W. H.: Ionization and Henry’s law constants for volatile, weak electrolyte water pollutants, Korean J. Chem. Eng., 3, 67–72, doi:10.1007/BF02697525 (1986).

Type

Table entries are sorted according to reliability of the data, listing the most reliable type first: L) literature review, M) measured, V) VP/AS = vapor pressure/aqueous solubility, R) recalculation, T) thermodynamical calculation, X) original paper not available, C) citation, Q) QSPR, E) estimate, ?) unknown, W) wrong. See Section 3.1 of Sander (2023) for further details.

Notes

1)	A detailed temperature dependence with more than one parameter is available in the original publication. Here, only the temperature dependence at 298.15 K according to the van 't Hoff equation is presented.
3)	The vapor pressure for water from Wagner and Pruss (1993) was used to calculate H_s.
20)	Calculated using machine learning matrix completion methods (MCMs).
21)	Several references are given in the list of Henry's law constants but not assigned to specific species.
23)	The partial pressure of water vapor (needed to convert some Henry's law constants) was calculated using the formula given by Buck (1981). The quantities A and α from Dean and Lange (1999) were assumed to be identical.
63)	Tsuji et al. (1990) provide effective Henry's law constants at several pH values. Here, only the value at pH = 5.8 is shown for the (acidic) S compounds and the value at pH = 8.6 for the alkaline N compounds.
167)	Fogg and Young (1988) provide two different fitting functions: one for T < 283.2 K and one for T > 283.2 K. At T=283.2 K, the functions have different values and different slopes. Here, only the function that is valid at T^⊖ is used.
168)	The data from Clarke and Glew (1971) were fitted to the three-parameter equation: H_s^cp= exp( −133.37135 +7422.07576/T +17.82903 ln(T)) mol m⁻³ Pa⁻¹, with T in K.
169)	The data from Schoenfeld (1855) were fitted to the three-parameter equation: H_s^cp= exp( 98.96644 −3021.28876/T −16.78233 ln(T)) mol m⁻³ Pa⁻¹, with T in K.
170)	The data from Dean and Lange (1999) were fitted to the three-parameter equation: H_s^cp= exp( −122.57010 +6962.28299/T +16.20245 ln(T)) mol m⁻³ Pa⁻¹, with T in K.
171)	The parameter fit for the temperature dependence is incorrect. A corrected version was later presented by Iliuta and Larachi (2007).

The numbers of the notes are the same as in Sander (2023). References cited in the notes can be found here.

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