NDLI: Isopiestic Studies of Aqueous MgB$_{4}$O$_{7}$ and MgSO$_{4}$ + MgB$_{4}$O$_{7}$ at 298.15 K and Representation with Pitzer’s Ion-Interaction Model

Content Provider	Springer Nature Link
Author	Yin, Song Tao Yao, Yan Li, Bing Tian, Hai Bin Song, Peng Sheng
Copyright Year	2007
Abstract	Water activities and stoichiometric osmotic coefficients for the systems MgB$_{4}$O$_{7}$+H$_{2}$O and MgSO$_{4}$+MgB$_{4}$O$_{7}$+H$_{2}$O have been measured at 298.15 K by the isopiestic method using a improved isopiestic device; the saturated solution molalities of MgB$_{4}$O$_{7}$ are very low for these systems. These measurements extended from the near saturated molalities to supersaturation for the MgB$_{4}$O$_{7}$ binary solutions and from total molalities m $_{T}$ of 0.1787 to 2.2374 mol⋅kg$^{−1}$ with seven MgB$_{4}$O$_{7}$ molality fractions from 0.005 to 0.095 for the ternary solutions, respectively. The water activities of MgSO$_{4}$ binary solutions (Y $_{B}$ = 0.0) were obtained by extrapolation of the present experimental results and were in agreement with the data from Rard and Miller (J. Chem. Eng. Data 26:33–38, 1981). The experimental stoichiometric osmotic coefficients are represented using Pitzer’s ion-interaction model with a modified value of α $_{B2}$=7.59 kg$^{1/2}$⋅mol$^{−1/2}$ in the term, $B_{\mathrm{Mg,B}_{4}\mathrm{O}_{7}}^{\phi}$ . Two sets of ion-interaction model parameters are presented for MgSO$_{4}$+MgB$_{4}$O$_{7}$+H$_{2}$O. The mixing parameters of the first set were evaluated using the presently calculated MgB$_{4}$O$_{7}$ single-salt parameters obtained from its binary-solution data. All the parameters relative to borate in the second set were estimated simultaneously from all the measured stoichiometric osmotic coefficient data for binary and ternary solutions in the present work, and were obtained with standard deviations of 0.0022 for MgB$_{4}$O$_{7}$ single salt-parameters and 0.0063 for the mixing parameters. The MgSO$_{4}$ single-salt parameters reported by Rard and Miller (J. Chem. Eng. Data 26:33–38, 1981) were used for the evaluation of both sets of the ion-interaction parameters. The stoichiometric mean activity coefficients of the solutes for the systems are primarily calculated using Pitzer’s standard equations for the activity coefficient with the same values of parameters and the exponential coefficients of α $_{1}$, α $_{2}$ and α $_{B2}$ for the osmotic coefficient model. The effects of the ionic interactions on the thermodynamic properties for the studied systems are discussed.
Starting Page	1745
Ending Page	1761
Page Count	17
File Format	PDF
ISSN	00959782
Journal	Journal of Solution Chemistry
Volume Number	36
Issue Number	11-12
e-ISSN	15728927
Language	English
Publisher	Springer US
Publisher Date	2007-11-07
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Osmotic coefficients Activity coefficients Isopiestic method Pitzer ion-interaction model MgSO$_{4}$+MgB$_{4}$O$_{7}$+H$_{2}$O Condensed Matter Inorganic Chemistry Oceanography Geochemistry Industrial Chemistry/Chemical Engineering Physical Chemistry
Content Type	Text
Resource Type	Article
Subject	Biochemistry Molecular Biology Biophysics Physical and Theoretical Chemistry

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