Estimating the Density and Compressibility of Seawater to High Temperatures Using the Pitzer Equations

Rodriguez, Carmen; Millero, Frank J.

doi:10.1007/s10498-012-9183-2

Cited by 11 publications

(6 citation statements)

References 23 publications

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“…Values for the Debye-Huckel limiting slopes, A V and A κ,S , are taken from the equations of Pierrot and Millero (2000) and Rodriguez and Millero (2013), respectively, as a function of temperature (t,°C) Each adjustable parameter, Y X ¼ X 0 , β (0)X , β (1)X , and C X , for TrisHCl in water has been fitted to a polynomial function of absolute…”

Section: Trismentioning

confidence: 99%

The partial molal volume and compressibility of Tris and Tris–HCl in water and 0.725 m NaCl as a function of temperature

Rodriguez

Huang

Millero

2015

Deep Sea Research Part I: Oceanographic Research Papers

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a b s t r a c t The apparent molal volumes and compressibilities of Tris and Tris-HCl have been determined in water (5-45°C) and 0.725 m NaCl (5-25°C). The changes in the volume (ΔV) and compressibility (Δκ) for the dissociation of Tris-H þ Tris H Tris H − = + + + as functions of temperature in water and 0.725 m NaCl have been determined from these measurements. The values of ΔV and Δκ have been used to determine the effect of pressure on the dissociation constant for Tris-H þ (K P /K 0 ). K K RT P RT P ln / V/ 0.5 k/ P 0 2( )=− ∆ ( ) + ∆ ( ) These results will be useful in the calibration of pH systems making in-situ measurements at high pressure in seawater. In 0.725 m NaCl at 5°C and a pressure of 2000 bar, the dissociation constant is reduced by 29%.

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Section: Trismentioning

confidence: 99%

The partial molal volume and compressibility of Tris and Tris–HCl in water and 0.725 m NaCl as a function of temperature

Rodriguez

Huang

Millero

2015

Deep Sea Research Part I: Oceanographic Research Papers

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“…The values of ϕ κ MX have been calculated from the sound speed ( U ) using the equation κ ϕ MX = 1000 ( β S ρ 0 − β S 0 ρ ) / italicm ρ ρ 0 + ( β S M ) / ρ where β S is the adiabatic compressibility, ρ is the density, m is the molality and M is the molecular weight. The superscript zero is used to indicate the values are for pure water …”

Section: Calculationsmentioning

confidence: 99%

“…The Pitzer ionic interaction model has been shown to be very useful in fitting the volume properties of electrolytes, as a function of concentration and temperature . The partial molal volumes of ions in mixed electrolyte solutions determined from these Pitzer equations can also be used to estimate the effect of pressure on activity coefficients and ionic equilibrium in mixed electrolytes .…”

Section: Introductionmentioning

confidence: 99%

Estimation of the Partial Molal Adiabatic Compressibility of Ions in Mixed Electrolyte Solutions Using the Pitzer Equations

Millero

Sharp

2013

J. Chem. Eng. Data

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The Pitzer equations have been used to fit the apparent molal adiabatic compressibility of electrolytes in water as a function of temperature. The equations have been used to estimate the partial molal compressibility for a number of cations and anions in 0.725 m NaCl and average seawater (S = 35 g kg −1 ). The calculated results for electrolytes are in good agreement with direct measurements in 0.725 m NaCl and seawater. The partial molal compressibilities estimated from the model can be used to make more reliable estimates of the effect of pressure on activity coefficients and ionic equilibria in seawater and other mixed electrolyte solutions at high pressures.

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“…Krumgalz et al 3−7 have used the Pitzer equations to fit the volumes of a number of monovalent and divalent electrolytes from (0 to 100) °C. The Pitzer equations have been used to estimate the effect of pressure on processes in natural waters 6,8 and the density 9,10 and compressibilities of seawater. 10 At the present time studies on the use of the Pitzer equations for the volume of trivalent metal electrolytes are limited.…”

Section: Introductionmentioning

confidence: 99%

“…Krumgalz et al − have used the Pitzer equations to fit the volumes of a number of monovalent and divalent electrolytes from (0 to 100) °C. The Pitzer equations have been used to estimate the effect of pressure on processes in natural waters , and the density , and compressibilities of seawater . At the present time studies on the use of the Pitzer equations for the volume of trivalent metal electrolytes are limited. ,, The recent Pitzer equations results of May et al for the rare earths were only made at 25 °C.…”

Section: Introductionmentioning

confidence: 99%

Apparent Molal Volumes of Aqueous Rare Earth Salts Fit to the Pitzer Equation

2013

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The apparent molal volumes (V ϕ) of the trivalent rare earth (La, Pr, Nd, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, Yb, Lu and Y) chlorides, nitrates and perchlorates have been calculated from the density measurements at 25 °C and (5 to 80) °C and 0.02 – 4 m. The values of V ϕ have been fitted to the Pitzer equations, V ϕ = V̅ 0 + (A v I/(1.2m) ln(1 + 1.2I 0.5) + 2RTm(β V(0) + β V(1) g(y) + mCV ), where V̅ 0 is the infinite dilution partial molal volume, A v is the Debye- Hückel slope, I is the ionic strength, and g(y) = (2/y 2)·[1 – (1 + y) exp(−y)] where y = 2(I 0.5). The Pitzer volume parameters β V(0), β V(1) and C V are functions of temperature. The values of V̅ 0, β V(0), β V(1), and C V for most of the rare earth chlorides are similar orders of magnitude. These results should be useful in estimating the effect of pressure on the equilibria of rare earths in natural waters over a wide range of temperature.

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Estimating the Density and Compressibility of Seawater to High Temperatures Using the Pitzer Equations

Cited by 11 publications

References 23 publications

The partial molal volume and compressibility of Tris and Tris–HCl in water and 0.725 m NaCl as a function of temperature

The partial molal volume and compressibility of Tris and Tris–HCl in water and 0.725 m NaCl as a function of temperature

Estimation of the Partial Molal Adiabatic Compressibility of Ions in Mixed Electrolyte Solutions Using the Pitzer Equations

Apparent Molal Volumes of Aqueous Rare Earth Salts Fit to the Pitzer Equation

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