Elsevier

Inorganica Chimica Acta

Volume 331, Issue 1, 28 March 2002, Pages 322-329
Inorganica Chimica Acta

Molybdenum(VI) equilibria in different ionic media. Formation constants and thermodynamic quantities

Dedicated to Professor A.G. Skyes
https://doi.org/10.1016/S0020-1693(02)00700-4Get rights and content

Abstract

Molybdenum(VI) equilibria have been investigated in LiClO4 (2.0 M) and NaCl (1.0 and 2.0 M) media by potentiometry, molybdenum-95 NMR and calorimetry. In the case of 2.0 M Li(ClO4) and 2.0 M Na(ClO4) media the molybdenum concentration was 1.0 M and the pH range covered was 2–7.5. For the potentiometric measurements in 1.0 M NaCl the molybdenum concentration was varied from 0.1–5.0×10−4 M and the pH range covered 1.0–6.5. Reaction models, based on computer treatment of the potentiometric data, have been established which are consistent with NMR information. These reaction models differ from most of those previously published in that the protonated heptamolydates [H2Mo7O24]4− and [H3Mo7O24]3− are not included. In 1.0 M NaCl at 25 °C the formation constants of the polyoxoanions, denoted by βpq, where the subscripts p and q refer to the stoichiometric coefficients of [MoO4]2− and H+ in the reactions, have the values: log β78=52.86, log β79=57.25, log β68=49.53, log β8,11=67.90, log β8,12=71.52, log β13,21=119.49 and log β18,32=171.43. Enthalpy and entropy changes for the formation of the polyions were calculated from the calorimetric data using these constants. The enthalpy values are ΔH78=−258, ΔH79=−248, ΔH68=−218, ΔH8,11=−275, ΔH8,12=−285, ΔH13,21=−508 and ΔH18,32=−782 kJ mol−1.

Molybdenum(VI) equilibria have been investigated by potentiometry, 95Mo NMR and calorimetry. The proposed reaction model agrees with some previously published models in that the well-characterized [Mo7O24]6− and [Mo8O26]4− ions are included but differs by the absence of [H2Mo7O24]4− and [H3Mo7O24]3−. An unexpected polyanion of (10, 10) proton-molybdate stoichiometry has been identified at high molybdate concentration. Equilibrium constants are reported for different ionic media. Enthalpy and entropy changes for the formation of some polyanions in 1.0 M NaCl medium have been determined.

  1. Download : Download full-size image

Introduction

Most of the previous work on molybdenum(VI) equilibria has been summarized in a recent review [1]. At very low concentrations (<10−4 M) mononuclear species predominate and equilibrium constants for the formation of [HMoO4], MoO3(H2O)3, and [MoO2(OH)(H2O)3]+ have been determined under different conditions. At higher concentrations numerous investigations have shown the existence of the heptamolybdate [Mo7O24]6− and the octamolybdate [Mo8O26]4− ions in aqueous solution. For the determination of equilibrium constants of the various polyoxoanions in solution, accurate pH measurements with computer treatment of the data proved to be one of the best methods. In the case of good data, the determination of a reaction model that gives the best fit between calculated and experimental points usually serves as a reliable method for the identification of at least all the major species in the solution. Equilibrium constants obtained by different research groups under the same conditions mostly agree remarkably well, e.g. the values for the formation of [Mo7O24]6− in 3.0 M NaClO4 are log β78=57.74 [2] and 57.70 [3], [3](a), [3](b) and in 1.0 M NaCl log β78=52.80 [4] and 52.79 [5], [5](a), [5](b). Although such results show that the proposed reaction models are based on reliable and reproducible data, differences among these models reveal that an unambiguous selection of species is not always possible. The [Mo7O24]6− ion, its protonated forms and the octamolybdate ion [Mo8O26]4− are included in most models. In some cases, [H3Mo7O24]3− is preferred to [Mo8O26]4−, but in some models both these polyanions are included. A recent 95Mo and 17O NMR study of aqueous Li2MoO4 at high concentrations confirmed the existence of [Mo7O24]6− and β-[Mo8O26]4− but only the monoprotonated form of heptamolybdate [HMo7O24]5− was found to occur [6]. The latter species, rather than being further protonated, is converted into a different polyanion, probably another octamolybdate, [H3Mo8O28]5−. These results cast doubt on well-established reaction models as far as the inclusion of doubly or triply protonated heptamolybdates are concerned.

In the present investigation potentiometric data have been collected at high concentration and in different ionic media to enable a meaningful comparison with NMR results. We also report results of a potentiometric and 95Mo NMR investigation study at lower concentrations in 1.0 M NaCl medium. A new reaction model which is consistent with NMR evidence is presented and used as the basis for a subsequent calorimetric investigation. Enthalpy and entropy changes for the formation of the various polyoxoanions could be calculated from the data.

Section snippets

Reagents and solutions

All reagents were of analytical grade (Merck, BDH, Aldrich) and solutions were prepared with water obtained from a Millipore Milli-Q system. Sodium molybdate and lithium molybdate stock solutions were prepared from the salts Na2[MoO4]·2H2O and Li2[MoO4] and standardized gravimetrically as described previously [7]. Lithium perchlorate was prepared by the neutralization of Li2CO3 with HClO4. Hydrochloric acid and perchloric acid solutions were standardized indirectly against potassium

Potentiometry

The protonation and condensation reactions that can occur upon acidification of molybdate are represented by the following equationp[MoO42]+qH+[(MoO4)pHq](2pq)For brevity a species with overall formation constant βpq will often be described by simply using the stoichiometric coefficients which defines its composition, for example (7, 8) for the heptamolybdate polyanion [Mo7O24]6− and (8, 12) for the octamolybdate [Mo8O26]4−.

The main purpose of these potentiometric measurements was to find the

Conclusion

The results of potentiometric and NMR investigations show that in addition to the mononuclear species a reaction model comprising the polyoxoanions [Mo7O24]6−, [HMo7O24]5−, [H2Mo6O21]4− (at lower concentrations), [H3Mo8O28]5−, [Mo8O26]4−, [Mo18O56(H2O)8]4− and some minor species (depending on conditions) give a satisfactory description of molybdenum(VI) equilibria at concentrations up to 1.0 M and pH down to 1 irrespective of the ionic medium. This model agrees with various models previously

Acknowledgements

The authors are indebted to the late Mr. H.S.C. Spies for recording the NMR spectra.

References (22)

  • P. Gans et al.

    J. Chem. Soc., Dalton Trans.

    (1985)
  • S.F. Gheller et al.

    Aust. J. Chem.

    (1984)
  • V.I. Vetrogon et al.

    Talanta

    (1994)
  • J.J. Cruywagen

    Adv. Inorg. Chem.

    (2000)
  • S. Sasaki et al.

    Acta Chem. Scand.

    (1964)
  • L. Pettersson et al.

    Inorg. Chem.

    (1986)
    L. Petterson et al.

    Acta Chem. Scand.

    (1985)
  • J. Aveston et al.

    Inorg. Chem.

    (1964)
  • J.J. Cruywagen

    Inorg. Chem.

    (1980)
    K.H. Tytko et al.

    Inorg. Chem.

    (1985)
  • O.W. Howarth et al.

    J. Chem. Soc., Dalton Trans.

    (1990)
  • J.J. Cruywagen et al.

    J. Chem. Soc., Dalton Trans.

    (1986)
  • H.S. Rossotti

    Talanta

    (1974)
  • Cited by (72)

    • All-in-one portable microsystem for on-site electrochemical determination of phosphate in turbid coastal waters

      2022, Microchemical Journal
      Citation Excerpt :

      However, the peak current showed a slowly increase rate when the molybdate concentration was higher than 10 mM. Moreover, the ratio of molybdate and protons is vital for Mo(VI) speciation, which determines the “degree of protonation” of molybdate in solution [38]. Previous studies have reported that silicate has a similar formation process to phosphate under molybdate and acidic conditions, and silicate concentrations are in excess of phosphate concentrations in coastal waters [39].

    • Extraction equilibrium of molybdenum(VI) and tungsten(VI) in aqueous solutions containing hydrogen peroxide by synergistic solvent extraction with TRPO and TBP

      2022, Hydrometallurgy
      Citation Excerpt :

      Therefore, the realization of complexation and transformation of W species is the key to reduce W loss by eliminating the third phase. The speciation and composition of W and Mo in solution is influenced by pH value, concentration of metal ions and H2O2 (Cruywagen et al., 2002; Andersson et al., 1994; Taube et al., 2002a; Pettersson et al., 2003; Howarth, 2004). The concentration of hydrogen peroxide is decisive because when the molar ratio of H2O2 to metal exceeds 2, the polymerization of species goes no further than the dimer even at low pH (Taube et al., 2002a; Pettersson et al., 2003; Howarth, 2004).

    • Chemical forms of molybdenum ion in nitric acid solution studied using liquid-phase X-ray absorption fine structure, Ultraviolet–Visible absorption spectroscopy and first-principles calculations

      2019, Chemical Physics Letters
      Citation Excerpt :

      In the previous studies, many chemical species of Mo complexes in solution have been found. Especially, the predominant species such as [MoO4]2−, [HMoO4]−, [Mo7O24]6−, [HMo7O24]5−, [H2Mo7O24]4−, and [Mo8O26]4− strongly depend on the ionic strength, Mo concentration, and pH [7,12–21]. However, there have been a few reports on Mo complexes in strong acid solutions so far [7,19].

    View all citing articles on Scopus
    View full text