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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of solution chemistry 18 (1989), S. 875-891 
    ISSN: 1572-8927
    Keywords: Phosphoric acid ; Pitzer equations ; ion pairing
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The pK 1 * , pK 1 * and pK 3 * for the dissociation of H3PO4 have been measured in NaCl solutions from 0.5 to 6m at 25°C. The results have been used to evaluate Pitzer interaction parameters ψ(NaClH2PO4)=−0.028±0.005, λ(NaH3PO4)=−0.075±0.025, θ(HPO4Cl)=0.105±0.009, θ(PO4Cl)=−0.59±0.02 and ψ(NaClHPO4)=−0.003±0.004, ψ(PO4NaClH)=0.110±0.008. These parameters yield values of pK 1 * , pK 2 * and pK 3 * in NaCl that agree with the measured values with average deviations of ±0.04, ±0.03 and ±0.05 in pK 1 * . Measurements of pK 1 * and pK 2 * were also made in NaMgCl solutions. These results have been used to evaluate β(O)(MgH 2 PO 4)=−3.55±0.07,β(1)(MgH 2 PO 4=−16.9±0.03, β(O)(MgH 2 PO 4=−17.5±0.03 and β(1)(MgH 2 PO 4)=27.4±0.8 at 25°C. The results for pK 2 * in NaMg−Cl solutions were also used to calculate log K MX * =3.2±0.1 for the formation of the ion pair MgHPO 4 o .
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of solution chemistry 19 (1990), S. 375-390 
    ISSN: 1572-8927
    Keywords: Equilibrium constants ; CuCl ; CuBr ; complexes ; Pitzer equations ; spectral data
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The stoichiometric equilibrium constants, K 3 * , for the formation of CuX 3 2− from CuX 2 − +X− where X=Cl and Br, have been determined from spectral measurements. The measurements were made in NaCl and NaBr solutions from I=0.5 to 6.0m at 5, 25 and 45°C. The measured constants were extrapolated to infinite dilution using the Pitzer equations. The Pitzer parameters, β0, β1 and Cφ, for the interaction of Na+ with CuX 2 − and CuX 3 2− are briefly discussed.
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of solution chemistry 20 (1991), S. 361-373 
    ISSN: 1572-8927
    Keywords: Ionization ; sulfurous acid ; Pitzer equations ; solubility ; NaMgCl ; SO2 ; activity coefficient ; ion pairing
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The stoichiometric pK 1 * and pK 2 * for the ionization of sulfurous acid has been determined from emf measurements in NaCl solutions with varying concentrations of added MgCl2 (m=0.1, 0.2 and 0.3) from I=0.5 to 6.0 molal at 25°C. These experimental results have been treated using both the ion pairing and Pitzer's specific ion-interaction models. The Pitzer parameters for the interaction of Mg2+ with SO2 and HSO 3 − yielded λ=0.085±0.004, β(0) = 0.35±0.02, β(1) = 1.2±0.04, and Cφ = −0.072±0.007. The Pitzer parameters β(0) = −2.8±0.4, β(1) = 12.9±2.9 and β(2) = −2071±57 have been determined for the interactions of Mg2+ with SO 3 2− . The calculated values of pK 1 * and pK 2 * using Pitzer's equations reproduce the measured values to within ±0.04 pK units. The ion pairing model with log KMgSO3=2.36±0.02 and logγMgSO3 = 0.1021, reproduces the experimental values of pK 2 * to ±0.01. These results demonstrate that treating the data by considering the formation of MgSO3 yields a better fit of the experimental measurements with fewer adjustable parameters. With these derived coefficients obtained from the Pitzer equations and the ion pairing model, it is possible to make reliable estimates of the activity coefficients of HSO 3 − and SO 3 2− in seawater, brines and marine aerosols containing Mg2+ ions.
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  • 4
    ISSN: 1572-8927
    Keywords: samarium chloride: activity coefficients ; Nernst equation ; Harned's rule ; emf ; Pitzer equations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract A comprehensive array of electrochemical cell measurements for the system HCl +SmCl3 + H2O was made from 5 to 55°C using a cell without liquid junction ofthe type:Pt; H2(g, 1 atm)|HCl (m A) + SmCl3 (m B)|AgCl, Ag (A)The present study, unlike previous studies of trivalent ions, are not complicatedby hydrolysis reactions. Measurements of the emf were performed for solutionsat constant total ionic strengths of 0.025, 0.05, 0.1, 0.25, 0.5, 1.0, 1.5, 2.0, 2.5,and 3.0 mol-kg−1. The mean activity coefficients of HCl (γHCl) in the mixtureswere calculated using the Nernst equation. All the experimental emf measurements(about 850) were first treated in terms of the simpler Harned's rule. Harnedinteraction coefficients (αAB and βAB) were calculated. The linear form of Harned'srule is valid for most ionic strengths, but quadratic terms are needed at I = 1.5and 3 mol-kg−1. The Pitzer model was used to evaluate the activity coefficientsusing literature values, β(0), β(1), and C φ, for HCl from 0 to 50°C and 25°C forSmCl3. The effect of temperature on the parameters for SmCl3 has been estimatedusing enthalpy and heat-capacity data. The mixing parameter ΘH,Sm wasdetermined at 25°C. The addition of the ΨH,Sm,Cl coefficient did not improve the fitsignificantly and no temperature dependence was found to be significant. Thevalue of ΘH,Sm = 0.2 ± 0.01 represented the values of γHCl with a standarddeviation of σ = 0.009 over the entire range of temperatures and ionic strength.The use of higher-order electrostatic effects (EΘH,Sm, EΘH,Sm) was included as itgave a better fit of the activity coefficients of HCl.
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  • 5
    ISSN: 1572-8927
    Keywords: Hydrochloric acid ; gadolinium chloride ; emf ; Harned's rule ; Pitzer equations ; activity coefficients ; mixtures of electrolytes
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The emf of the cell $${\text{Pt, H}}_{\text{2}} ({\text{g, 1 atm}})|{\text{HCI(}}m_{\text{A}} {\text{),GdCl}}_{\text{3}} (m_B )|{\text{AgCl, Ag}}$$ without a liquid junction was used to investigate the HCl + GdCl3 + H2O mixedelectrolyte system. The emf of the cell was measured for HCl + GdCl3 + H2Osolutions at ionic strengths of 0.025, 0.05, 0.1, 0.5, 1.0, 1.5, and 2.0 mol-kg−1and at eleven temperatures ranging from 5 to 55°C at 5°C intervals. The meanactivity coefficients for HCl in the mixtures were determined using the Nernstequation. About 793 experimental emf data points were treated by the Harnedequations. Results show that hydrochloric acid follows Harned's rule at all ionicstrengths, but the quadratic term is needed for I = 1.5 mol-kg−1. Theion-interaction treatment of Pitzer was used to evaluate the results. The binary andternary mixing parameters at 25°C were found to be ΘH,Gd = 0.07 ± 0.03 andΨH,Gd,Cl = 0.14 ± 0.03. These values were determined using literature values ofβ(0), β(1), and C ψ for GdCl3 at 25°C and estimates of the effect of temperaturefrom 5 to 55°C using enthalpy and heat capacity data.
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Journal of solution chemistry 29 (2000), S. 719-742 
    ISSN: 1572-8927
    Keywords: Apparent molal volumes ; apparent molar compressibilities ; sea water ; Pitzer equations ; sea salts
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The density and compressibility of seawater salt solutions for ionic strengths 0to 0.8 m, temperatures 0–40°C, and applied pressure 0 to 1000 barare fitted tothe Pitzer equations. The apparent molal volumes and compressibilities (Xφ) arefitted to equations of the form $$X_\phi = \mathop {X^0 }\limits^ + A_X I/(1.2m)\ln (1 + 1.2I^{0.5} ) + 2 RT m(\beta ^{(0)X} + \beta ^{(1)X} g(y) + m C^X )$$ where I is the ionic strength, m is the molality of seasalt, A X is the Debye—Hückelslope for the volume (X = V) or compressibility(X = κ) and g(y) = (2/y 2)[1 − (1 + y)exp(x)] where y = 2I 0.5. The Pitzer parameters β(0)X,β(1)X, and C Xare fitted to functions of temperature and pressure in the form $$Y^{\text{x}} = \Sigma _{\text{i}} \Sigma _{\text{j}} a_{{\text{ij}}} (T - T_{\text{R}} )^{\text{i}} P^{\text{j}} $$ where a ij are adjustable parameters, Y X is the Pitzer parameter, T is the temperaturein K, T R = 298.15 K, and P is the applied pressure in bars (P = 0 at 1 atm or1.013 bar). The standard deviations of the seawater fits are 8.3×10−6 cm3-g−1for the specific volumes, 0.0007×10−6 bar−1 for the compressibilities, and0.63×10−6 K−1 for the thermal expansibilities. At 25°C, the measured densitiesof seawater are compared to the calculated values using Pitzer coefficients forthe major sea salts. The results agree with the measured values to within 45×10−6g-cm−3.
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