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  • volumes of mixing  (4)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of solution chemistry 3 (1974), S. 431-444 
    ISSN: 1572-8927
    Keywords: Boric acid ; molal volume ; nonelectrolyte-electrolyte mixture ; volumes of mixing
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The apparent molal volume φ v of boric acid has been determined in various sodium chloride solutions at 0 and 25°C from precise density measurements. Similar to its behavior in pure water, the φ v of boric acid in NaCl solutions is a linear function of the concentration. The infinite dilution φ v ° and the slope S v * of B(OH)3 are larger in NaCl solutions than in pure water. NaCl appears to be able to dehydrate B(OH)3 and cause an increase in B(OH)3-B(OH)3 interactions. The mean apparent molal volumes Φ v of the B(OH)3−NaCl solutions are predicted from pure water data using a modification of Young's rule for electrolyte-nonelectrolyte mixtures and are compared to the directly measured values. A similar treatment was carried out on the density data of acetic acid-sodium chloride solutions. The modified Young's rule was found to give a good first approximation of the mean apparent molal volumes of nonelectrolyte-electrolyte systems. The deviations from the Young's rule approximation are studied as excess volumes of mixing boric acid and NaCl solutions.
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  • 2
    ISSN: 1572-8927
    Keywords: Sea salts ; NaCl ; Na2SO4 ; MgSO4 ; MgCl2 ; volumes of mixing ; densities
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The densities of mixtures of the six possible combinatons of the major sea salts (NaCl, Na2SO4, MgSO4, and MgCl2) were determined at constant ionic strengths of I=1.0 and I=3.0 at 25°C. The results are used to determine the volume changes for mixing (ΔV m ) the major sea salts. The values of ΔV m were fit to equations of the form ΔV m where y i is the molal ionic strength fraction of solute i, and υ0 and υ1 are parameters related to the interaction of like-charged ions. The cross-square rule was found to hold at both ionic strengths. Density estimates were made without and with the addition of volume of mixing terms to Young's Rule and compared to the experimental values. The densities calculated with the addition of volume of mixing terms gave better estimates, demonstrating that the densities of concentrated brines can be more accurately estimated using ΔV m terms. The equations of Reilly and Wood which include the cross-square rule were used to estimate the densities of the cross mixtures (NaCl−MgSO4 and MgCl2−Na2SO4). The estimated densities agree with the measured values to within ±30 ppm at I=1.0 and ±125 ppm at I=3.0.
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  • 3
    ISSN: 1572-8927
    Keywords: Sea salts ; NaCl ; Na2SO4 ; MgSO4 ; MgCl2 ; volumes of mixing ; densities ; cross-square rule
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The densities of mixtures of the six possible combinations of the four major sea salts (NaCl, Na2SO4, MgCl2, and MgSO4) have been measured at a constant ionic strength of I=3.0 at the temperatures 5, 25, 55, and 95°C. The results have been used to determine ΔVm, the volume change for mixing the major sea salts, which were fitted to equations of the from $$\Delta V{\text{m = }}y2y3I^2 \left[ {v0 + v1\left( {1 - 2y{\text{3}}} \right)} \right]$$ where y1 is the molal ionic strength fraction of solute i, and vo and v1 are parameters related to the interaction of like-charge ions. The cross-square rule was verified at each of the temperatures of study, but the rule did not hold as well at the higher temperatures. The temperature dependence of the volume change for mixing ΔVm was examined for each of the six mixtures. It was found that the two mixtures NaCl−Na2SO4 and MgSO4−MgCl2 showed little or no variation of ΔVm with temperature, while the other mixtures showed considerable temperature dependence. These results indicate that the anion-anion interactions of Cl− and SO 4 2− do not vary with temperature, while the cation-cation interactions of Na+ and Mg2+ are temperature sensitive. Explanations for these results based on ion-water inter actions are presented.
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  • 4
    ISSN: 1572-8927
    Keywords: Sea salts ; NaCl ; Na2SO4 ; MgSO4 ; MgCl2 ; volumes of mixing ; densities
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Equations in the ion-interaction (Pitzer) system are derived for the volume change on mixing any combination of the sea salts NaCl, Na2SO4, MgSO4, MgCl2 at constant ionic strenth. For these mixings of different charge types, the equations include complex differences of pure electrolyte terms. Recently measured data for each of the pure electrolytes provide these pure electrolyte terms. Other recent measurements on the volume change on mixing are compared with values calculated from the equations. At 25°C there is no need to introduce the mixing terms based on differences in the interactions of ions of the same sign. At other temperatures, the agreement without the mixing terms is good, but significant improvement is obtained by inclusion of the binary mixing terms θCl,SO 4 v and θ Na,Mg v . The equations and parameters can then predict the volumetric properties of any mixed solution of these salts over the range 0–100°C and to at least 3 mol-kg−1 ionic strength.
    Type of Medium: Electronic Resource
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