### Abstract

The solubility of oxygen has been measured in NaCl, Na_{2}SO_{4}, MgCl_{2} and MgSO_{4} solutions from 5 to 45°C from 0.1 to saturation. The solubilities, [O_{2}], have been fitted to a Setschenow [J. Phys. Chem. 4 (1899) 117] type equation ln{[O_{2}]^{0}/[O_{2}]} = lnγ = Am + Bm^{2} where the superscript zero is the solubility of oxygen in water, m is the molality and γ is the activity coefficient of O_{2}. The adjustable parameters A and B are determined by least squares to equations of the form (T/K)A=a_{00}+a_{01}/T+a_{02}ln T and B=b_{00} + b_{01}/T+ b_{02}ln T. The standard errors of all the fits of [O_{2}] are less than ± 2.0 μmol (kg H_{2}O)^{-1} for all the salts. The limiting values of k_{s}=A for the solutions have been determined from the fits. The ionic values of k_{s} for SO_{4}^{2-} are not additive due to the strong interactions between Mg^{2+} and SO_{4}^{2-}. The results have been interpreted using the Pitzer equations lnγ_{O2} = 2 ∑_{c} λ_{O2c}m_{c} + 2 ∑_{a} λ_{O2a}m_{a} + 2 ∑_{c} ∑_{a} m_{c}m_{a}ζ_{O2ca} where λ_{O2}i is a parameter that accounts for the interaction of O_{2} with cations (c) and anions (a) and ζ_{O2}ca accounts for interactions for O_{2} with the cation and anion (c-a). The coefficients (λ_{O2}i) determined for Na^{+}, Cl^{-} and SO_{4}^{2-} are in reasonable agreement with the tabulations of Clegg and Brimblecombe [J. Phys. Chem. 93 (1990) 7237]. The values of λ_{O2}c for the interactions of Na^{+}, Mg^{2+}, SO_{4}^{2-} and ζ_{O2}ca for the interactions of NaCl, Na_{2}SO_{4}, MgCl_{2} and MgSO_{4} with O_{2} from 5 to 45°C (T/K) have been fitted to equations of the form (λ_{O2}Cl=0) λ_{O2Na} = -24.2231 + 1169.14/T + 3.58915lnT λ_{O2Mg} = -40.3039 + 1912.70/T + 5.99055lnT λ_{O2SO4} = 44.8440 - 1956.75/T - 6.69935lnT ζ_{O2NaCl} = 5.7292 - 260.89/T - 0.85431lnT ζ_{O2MgCl2} = 19.715 - 888.35/T - 2.93893lnT ζ_{O2Na2SO4} = 18.8007 - 862.37/T - 2.79870lnT ζ_{O2MgSO4} = 25.4448 - 1186.25/T - 3.77264lnT These parameters represent the oxygen solubilities to ± 2.0 μmol (kg H_{2}O)^{-1} over the entire range of temperature and concentration. The resulting coefficients for the major sea salts can be used to estimate the solubility of oxygen in all natural waters over a wide range of temperature and ionic strength.

Original language | English (US) |
---|---|

Pages (from-to) | 217-230 |

Number of pages | 14 |

Journal | Marine Chemistry |

Volume | 78 |

Issue number | 4 |

DOIs | |

State | Published - 2002 |

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### Keywords

- Concentration
- Major sea salts
- Solubility of oxygen
- Temperature

### ASJC Scopus subject areas

- Chemistry(all)
- Oceanography

### Cite this

*Marine Chemistry*,

*78*(4), 217-230. https://doi.org/10.1016/S0304-4203(02)00034-8

**Solubility of oxygen in the major sea salts as a function of concentration and temperature.** / Millero, Frank J; Huang, Fen; Laferiere, Arthur L.

Research output: Contribution to journal › Article

*Marine Chemistry*, vol. 78, no. 4, pp. 217-230. https://doi.org/10.1016/S0304-4203(02)00034-8

}

TY - JOUR

T1 - Solubility of oxygen in the major sea salts as a function of concentration and temperature

AU - Millero, Frank J

AU - Huang, Fen

AU - Laferiere, Arthur L.

PY - 2002

Y1 - 2002

N2 - The solubility of oxygen has been measured in NaCl, Na2SO4, MgCl2 and MgSO4 solutions from 5 to 45°C from 0.1 to saturation. The solubilities, [O2], have been fitted to a Setschenow [J. Phys. Chem. 4 (1899) 117] type equation ln{[O2]0/[O2]} = lnγ = Am + Bm2 where the superscript zero is the solubility of oxygen in water, m is the molality and γ is the activity coefficient of O2. The adjustable parameters A and B are determined by least squares to equations of the form (T/K)A=a00+a01/T+a02ln T and B=b00 + b01/T+ b02ln T. The standard errors of all the fits of [O2] are less than ± 2.0 μmol (kg H2O)-1 for all the salts. The limiting values of ks=A for the solutions have been determined from the fits. The ionic values of ks for SO42- are not additive due to the strong interactions between Mg2+ and SO42-. The results have been interpreted using the Pitzer equations lnγO2 = 2 ∑c λO2cmc + 2 ∑a λO2ama + 2 ∑c ∑a mcmaζO2ca where λO2i is a parameter that accounts for the interaction of O2 with cations (c) and anions (a) and ζO2ca accounts for interactions for O2 with the cation and anion (c-a). The coefficients (λO2i) determined for Na+, Cl- and SO42- are in reasonable agreement with the tabulations of Clegg and Brimblecombe [J. Phys. Chem. 93 (1990) 7237]. The values of λO2c for the interactions of Na+, Mg2+, SO42- and ζO2ca for the interactions of NaCl, Na2SO4, MgCl2 and MgSO4 with O2 from 5 to 45°C (T/K) have been fitted to equations of the form (λO2Cl=0) λO2Na = -24.2231 + 1169.14/T + 3.58915lnT λO2Mg = -40.3039 + 1912.70/T + 5.99055lnT λO2SO4 = 44.8440 - 1956.75/T - 6.69935lnT ζO2NaCl = 5.7292 - 260.89/T - 0.85431lnT ζO2MgCl2 = 19.715 - 888.35/T - 2.93893lnT ζO2Na2SO4 = 18.8007 - 862.37/T - 2.79870lnT ζO2MgSO4 = 25.4448 - 1186.25/T - 3.77264lnT These parameters represent the oxygen solubilities to ± 2.0 μmol (kg H2O)-1 over the entire range of temperature and concentration. The resulting coefficients for the major sea salts can be used to estimate the solubility of oxygen in all natural waters over a wide range of temperature and ionic strength.

AB - The solubility of oxygen has been measured in NaCl, Na2SO4, MgCl2 and MgSO4 solutions from 5 to 45°C from 0.1 to saturation. The solubilities, [O2], have been fitted to a Setschenow [J. Phys. Chem. 4 (1899) 117] type equation ln{[O2]0/[O2]} = lnγ = Am + Bm2 where the superscript zero is the solubility of oxygen in water, m is the molality and γ is the activity coefficient of O2. The adjustable parameters A and B are determined by least squares to equations of the form (T/K)A=a00+a01/T+a02ln T and B=b00 + b01/T+ b02ln T. The standard errors of all the fits of [O2] are less than ± 2.0 μmol (kg H2O)-1 for all the salts. The limiting values of ks=A for the solutions have been determined from the fits. The ionic values of ks for SO42- are not additive due to the strong interactions between Mg2+ and SO42-. The results have been interpreted using the Pitzer equations lnγO2 = 2 ∑c λO2cmc + 2 ∑a λO2ama + 2 ∑c ∑a mcmaζO2ca where λO2i is a parameter that accounts for the interaction of O2 with cations (c) and anions (a) and ζO2ca accounts for interactions for O2 with the cation and anion (c-a). The coefficients (λO2i) determined for Na+, Cl- and SO42- are in reasonable agreement with the tabulations of Clegg and Brimblecombe [J. Phys. Chem. 93 (1990) 7237]. The values of λO2c for the interactions of Na+, Mg2+, SO42- and ζO2ca for the interactions of NaCl, Na2SO4, MgCl2 and MgSO4 with O2 from 5 to 45°C (T/K) have been fitted to equations of the form (λO2Cl=0) λO2Na = -24.2231 + 1169.14/T + 3.58915lnT λO2Mg = -40.3039 + 1912.70/T + 5.99055lnT λO2SO4 = 44.8440 - 1956.75/T - 6.69935lnT ζO2NaCl = 5.7292 - 260.89/T - 0.85431lnT ζO2MgCl2 = 19.715 - 888.35/T - 2.93893lnT ζO2Na2SO4 = 18.8007 - 862.37/T - 2.79870lnT ζO2MgSO4 = 25.4448 - 1186.25/T - 3.77264lnT These parameters represent the oxygen solubilities to ± 2.0 μmol (kg H2O)-1 over the entire range of temperature and concentration. The resulting coefficients for the major sea salts can be used to estimate the solubility of oxygen in all natural waters over a wide range of temperature and ionic strength.

KW - Concentration

KW - Major sea salts

KW - Solubility of oxygen

KW - Temperature

UR - http://www.scopus.com/inward/record.url?scp=0036302274&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036302274&partnerID=8YFLogxK

U2 - 10.1016/S0304-4203(02)00034-8

DO - 10.1016/S0304-4203(02)00034-8

M3 - Article

VL - 78

SP - 217

EP - 230

JO - Marine Chemistry

JF - Marine Chemistry

SN - 0304-4203

IS - 4

ER -