Calculation of liquid junction potentials

Abstract Equations and methods for the calculation of liquid junction potentials are reported. They are applicable to homoionic junctions over large molality ranges. In the general equation for E j , we have used t i vs. m dependence of the DHB equation [R. Dorta-Rodriguez, F. Hernandez-Luis, M. Barrera-Niebla, J. Electroanal. Chem., in press], while for mean ionic activity coefficient, we use the equations of Scatchard (S) or Pitzer (P), being single-ion activity coefficients evaluated according to Debye-Huckel convention. We have written two QBasic programmes (DHB-S and DHB-P) which generate E j values according to a code (electrolyte name) that is input in addition to the boundary solution molalities. The storages needed for both programmes are the stoichiometry and the parameters of the DHB and S or P equations. They are stored for some thirty electrolytes and allow us to calculate potentials across homoionic junctions with the ionic strength ranging from infinite dilution to solubility. Some procedures for determining E j from potentials of electrochemical cells are sketched. The agreement between these values and those calculated with the aforementioned programmes is very good. Likewise, for some electrolytes, extensive data files were generated with the above cited programmes to obtain, by tridimensional fit, functional equations E j ( m 1 , m 2 ) for calculating E j values easily. Finally, some instances of application in ISE-potentiometry, thermodynamics and kinetics of electrodes and mercury|electrolyte interface studies of methods reported here are given. In the later application, we have derived an approximate t i ( c ) equation for 1:2 electrolytes in water at 25°C.

[1]  G. Rechnitz,et al.  Activity measurements at high ionic strengths using halide-selective membrane electrodes , 1973 .

[2]  B. J. Levien,et al.  The Osmotic and Activity Coefficients of Zinc Nitrate, Zinc Perchlorate and Magnesium Perchlorate. Transference Numbers in Zinc Perchlorate Solutions , 1946 .

[3]  R. Stokes The Variation of Transference Numbers with Concentration , 1954 .

[4]  R. Parsons Modern Aspects of Electrochemistry , 1985 .

[5]  R. Bates Further studies of the hydration model for ionic activities in unassociated electrolytes. , 1986, Analytical chemistry.

[6]  G. Scatchard Additions and Corrections - The Excess Free Energy and Related Properties of Solutions Containing Electrolytes. , 1969 .

[7]  W. WashburnE.,et al.  International Critical Tables , 1927 .

[8]  George J. Janz,et al.  Electrical conductance, diffusion, viscosity, and density of sodium nitrate, sodium perchlorate, and sodium thiocyanate in concentrated aqueous solutions , 1970 .

[9]  G. Scatchard OSMOTIC COEFFICIENTS AND ACTIVITY COEFFICIENTS IN MIXED ELECTROLYTE SOLUTIONS , 1961 .

[10]  Jiří Koryta ION-Selective Electrodes , 1986 .

[11]  Duncan A. MacInnes,et al.  The principlēs of electrochemistry , 1944 .

[12]  A. Davies,et al.  Transference numbers for ultra concentrated solutions of aqueous hydrochloric acid at 25°C , 1984 .

[13]  R. Stokes,et al.  Density, viscosity, conductance, and transference number of concentrated aqueous magnesium chloride at 25°C , 1980, Journal of Solution Chemistry.

[14]  K. B. Oldham,et al.  An Atlas of Functions. , 1988 .

[15]  F. Hernandez-Luis,et al.  A new semi-emperical equation that expresess the dependence of transference numbers on the concentration , 1997 .

[16]  M. Spiro The calculation of potentials across liquid junctions of uniform ionic strength , 1966 .

[17]  G. Scatchard Excess free energy and related properties of solutions containing electrolytes , 1968 .

[18]  D. Grahame,et al.  Ionic Components of Charge in the Electrical Double Layer , 1954 .

[19]  R. Bates,et al.  Determination of pH;: Theory and practice , 1964 .

[20]  R. Bates Ion activity scales for use with selective ion-sensitive electrodes , 1973 .

[21]  Kenneth S. Pitzer,et al.  Thermodynamics of electrolytes. III. Activity and osmotic coefficients for 2–2 electrolytes , 1974 .

[22]  R. Bates,et al.  Potassium fluoride. Reference standard for fluoride ion activity , 1971 .

[23]  P. Mussini,et al.  Ion and solvent transfers at homoionic junctions between concentrated electrolyte solutions , 1990 .

[24]  K. Pitzer,et al.  Thermodynamics of electrolytes. II. Activity and osmotic coefficients for strong electrolytes with one or both ions univalent , 1973 .

[25]  B. Conway Ionic Hydration in Chemistry and Biophysics , 1981 .

[26]  M. Sluyters-Rehbach,et al.  The mechanism of the reduction of Zn(II) from NaClO4 base electrolyte solutions at the DME , 1982 .

[27]  M. A. Esteso,et al.  Activity coefficients for aqueous Na2Succ solutions from emf measurements , 1987 .

[28]  E. A. Guggenheim The Conceptions of Electrical Potential Difference between Two Phases and the Individual Activities of Ions , 1928 .

[29]  Victor M.M. Lobo,et al.  Handbook of electrolyte solutions , 1989 .

[30]  P. Delahay,et al.  Double Layer and Electrode Kinetics , 1965 .

[31]  D. N. Hume,et al.  Transference numbers in concentrated sodium perchlorate solutions , 1964 .

[32]  A. Weissberger Physical methods of organic chemistry , 1950 .

[33]  R. Robinson,et al.  Ionic hydration and activity in electrolyte solutions. , 1948, Journal of the American Chemical Society.

[34]  R. Bates,et al.  Ionic hydration and single ion activities in unassociated chlorides at high ionic strengths , 1970 .

[35]  D. N. Hume,et al.  Effect of ionic strength on the polarographic half-wave potential , 1991 .

[36]  H. Weingaertner,et al.  Isothermal transport coefficients in concentrated aqueous solutions of unsymmetrical electrolytes: lanthanum trichloride at 25.degree.C , 1987 .

[37]  M. Molero,et al.  Adsorption of malonate and succinate at the Hg/aqueous solution interphase , 1993 .

[38]  S. Phang The Density, Viscosity and Transference Number of Aqueous Manganese Chloride at 298.15 K , 1980 .

[39]  E. Glueckauf The influence of ionic hydration on activity coefficients in concentrated electrolyte solutions , 1955 .

[40]  E. A. Guggenheim On the Conception of Electrical Potential Difference between two Phases. II , 1929 .

[41]  P. Mussini,et al.  Transference numbers of aqueous HCl up to 15 mol-kg−1 at 25°C: A systematization and reassessment , 1995 .