THE PARTIAL MOLAL VOLUMES OF IONS IN AQUEOUS SOLUTION: II. AN EMPIRICAL EQUATION FOR OXY-ANIONS

1957 ◽  
Vol 35 (3) ◽  
pp. 207-210 ◽  
Author(s):  
A. M. Couture ◽  
K. J. Laidler
Keyword(s):  
Aqueous Solution ◽  
Empirical Equation ◽  
Preceding Paper ◽  
Effective Radius ◽  
Density Data ◽  
A Value ◽  
Partial Molal Volumes ◽  
Molal Volumes ◽  
The One

The partial molal volumes of oxy-anions, obtained from density data, have been correlated with the radius, the charge, and the number of ligands of the ions. The volumes relative to a value of −6.0 ml. for the proton are represented by the equation:[Formula: see text]where r and z_ have the same significance as in the preceding paper on entropies. The equation is compared with the one for monatomic ions, and the significance of the effective radius r is discussed.

THE PARTIAL MOLAL VOLUMES OF IONS IN AQUEOUS SOLUTION: I. DEPENDENCE ON CHARGE AND RADIUS

1956 ◽  
Vol 34 (9) ◽  
pp. 1209-1216 ◽  
Author(s):  
A. M. Couture ◽  
K. J. Laidler
Keyword(s):  
Ionic Crystal ◽  
Infinite Dilution ◽  
Hydrogen Ion ◽  
Empirical Equations ◽  
Density Data ◽  
A Value ◽  
Partial Molal Volumes ◽  
Solutions Of Electrolytes ◽  
Molal Volumes ◽  
Charge And Radius

The density data for aqueous solutions of electrolytes have been analyzed, and partial molal volumes at infinite dilution have been calculated. The values are shown to be additive, and a set of volumes for individual ions has been prepared, based arbitrarily on a value of zero for the hydrogen ion. It is shown that for a given value of the charge the volumes vary linearly with the cube of the ionic crystal radii, and for a given radius vary with the first power of the charge. In the case of cations the equation obeyed is[Formula: see text]while for anions[Formula: see text]If the volume of the hydrogen ion is taken as −6 ml. instead of zero the same equation is obeyed for both cations and anions, namely[Formula: see text]The empirical equations are discussed in terms of a simple model for ions in solution.

THE ENTROPIES OF IONS IN AQUEOUS SOLUTION: II. AN EMPIRICAL EQUATION FOR OXY-ANIONS

1957 ◽  
Vol 35 (3) ◽  
pp. 202-206 ◽  
Author(s):  
A. M. Couture ◽  
K. J. Laidler
Keyword(s):  
Aqueous Solution ◽  
Molecular Weight ◽  
Interatomic Distance ◽  
Empirical Equation ◽  
Central Atom ◽  
Van Der Waals ◽  
Empirical Relationship ◽  
Mean Deviation ◽  
A Value

The entropies of oxy-anions in aqueous solution are shown to obey the empirical relationship[Formula: see text]with a mean deviation of 3.6 e.u. In this equation [Formula: see text] is the entropy relative to a value of −5.5 e.u. for the proton, M is the molecular weight, z the number of charges on the ion, n the number of charge-bearing ligands, r is equal to r12 + 1.40, where r12 is the interatomic distance between the central atom and the surrounding oxygens, and 1.40 is the van der Waals radius of oxygen. The significance of the empirical equation is discussed.

The apparent and partial molal volumes of K-montmorillonite

Clay Minerals ◽  
1972 ◽  
Vol 9 (4) ◽  
pp. 361-368 ◽  
Author(s):  
E. A. Ferreiro ◽  
A. K. Helmy
Keyword(s):  
Specific Surface ◽  
Surface Area ◽  
Double Layer ◽  
Electric Double Layer ◽  
Particle Concentration ◽  
Pure Water ◽  
Density Data ◽  
Partial Molal Volumes ◽  
Electrostatic Contribution ◽  
Molal Volumes

AbstractThe partial and apparent molal volumes of K-bentonite in pure water and in 0·5 M KCl were determined using pycnometer density data. The values obtained were found to increase with particle concentration. Theoretical values of the electrostatic contribution to the volume of particles calculated from an assumed model based on the electric double layer theory, gave values different from those found experimentally. This is explained as due largely to the uncertainties in the value of the clay specific surface area as well as to the assumed ideality of the model used.

scholarly journals Partial Molal Volumes and Additivity of Group Partial Molal Volumes of Alcohols in Aqueous Solution at 25 and 35 degrees C.

1976 ◽  
Vol 30a ◽  
pp. 182-186 ◽  
Author(s):  
Harald Høiland ◽  
Einar Vikingstad ◽  
Per Jennische ◽  
Rolf Hesse ◽  
M. Sandström
Keyword(s):  
Aqueous Solution ◽  
Partial Molal Volumes ◽  
Molal Volumes
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