Statistical theory of individual activity coefficients of electrolytes including multiple ionic charges

In previous work we developed a new statistical method for calculating the individual activities of ions including association ions. Here study multi-particle electrostatic interactions connected within higher cluster integrals and identify ionization constants mass action law associating ion clusters. contrast to Bjerrum Fuoss, our concept is not based on spatial criteria, but instead strength interaction measured in powers parameter ($e^2 / D_0 k_{\text{B}} T a$ ; $a$ contact) defined by asymptotic properties integrals. For pair formation constant classical counterpart Planck's famous hydrogenic partition function. As rule, are smaller than traditional expressions, e.g., Fuoss Kraus, interesting regions parameters about fifty percent. Several examples CaCl$_2$, MgCl$_2$, Na$_2$SO$_4$, K$_2$SO$_4$, LaCl$_3$ model seawater studied. several electrolytes seawater, reasonable agreement with experiments Monte Carlo results achieved.