Interaction model for the volumetric properties of weak electrolytes with application to H3PO4

The Pitzer ion-interaction model for the thermodynamic properties of a weakly dissociating neutral solute is extended to include solution densities and compressibilities. Excellent agreement is obtained with the literature data for pure aqueous phosphoric acid to 8m. The first and second pressure derivatives of the interaction parameters for H⁺, H₂PO ₄ ^? , and H₃PO₄ are evaluated, in addition to the limiting partial molar volumes and adiabatic compressibilities of the ionized and unionized acids. The present method requires no additional data or extraneous assumption regarding the properties of the free electrolyte in extrapolating to infinite dilution. The quantities evaluated are used to estimate the pressure dependence of the ionization constant, activity coefficients, and speciation to 1 kbar. The estimated effect of pressure on aqueous phosphoric acid ionization is in excellent agreement with experimental data.