Calculation of polycondensation equilibria in aqueous solutions of silica and silicates

Abstract

<p>We proposed some complication of the previously used calculation model to expand capabilities of the theoretical description of acid-base and polycondensation equilibria in water-silicate systems. A fuller account of the balance of Н<sup>+</sup> ions enables the mathematical modeling of a structure and physicochemical properties of aqueous solutions not only of soluble silicates, but also of silicic acid, and with the same set of introductory thermodynamic parameters. The basis of the modified calculation model is a numerical solution of the system of eight linear and nonlinear equations by the Newton method.</p><p>We used the new model to calculate parameters of the molecular mass distribution of silicon-oxygen species and pH value in aqueous solutions of silicic acid, as well as alkaline silicates and silicates of amines (amino silicates). We determined ranges of values of input thermodynamic parameters, which make possible self-consistent description of three non-trivial experimentally observed effects. These are a rheological anomaly in solutions of amino silicates, absence of this anomaly in solutions of alkaline silicates, and predominantly monomeric nature of silicic acid in a low-concentrated aqueous solution of silica. We showed that a self-consistent description of three effects is possible only if the sum of indexes of dissociation constants (pK<sub>a</sub>) and polycondensation constants (pK<sub>p</sub>) of a silanol group, is less than 11.6. We also calculated concentrations of hydrolytic and polycondensation structures in compositions of anions and cations for these solutions and analyzed dependences of these concentrations on parameters of the calculated model. In particular, we showed that the modification of the calculated model leads to a significant increase in calculated values of pH and a degree of dissociation of silanol groups for a silica solution, while the average degree of polymerization stays almost unchanged. In addition, we found that the degree of depolymerization of a siloxane bond may be nonmonotonically dependent on pK<sub>a</sub> value in solutions of amino silicates.</p>

Authors and Affiliations

Nikolai Maliavski, Olga Zhuravlova

Keywords

Related Articles

Development of diode temperature sensors with operating range up to 750 K

<p>The problem of expansion of the range of functioning of diode thermosensors in the region of high temperatures is considered and some of the results of the author’s research in this area are given. To solve this probl...

Exergy analysis of the operation of a solar dryer

<p class="2">The study considers the exergy analysis of rational ways to use and store thermal energy in a solar dryer in order to increase the exergy efficiency of the technological process of fruit drying at individual...

Investigation and implementation of the fractal properties of electric load on civilian objects in order to efficiently predict and control electrical consumption

We have investigated the process of constructing the charts of electrical load, as well as electricity consumption, of many-storied apartment houses in a city's neighborhood, taking into consideration the fractal structu...

Development of a genetic algorithm for placing power supply sources in a distributed electric network

<p>The problem of substantiation of developing complex distribution systems of electric power supply was considered as a hierarchy of problems at the first stage of which the problem of choosing a rational configuration...

Development of the method for structural-parametric optimization in order to improve the efficiency of transition processes in periodic systems

<p>In order to get the most out of the enterprise’s operational processes, the operational processes of functional systems are optimized. However, in the process of optimization, controlled systems over a significant amo...

Download PDF file
  • EP ID EP528089
  • DOI 10.15587/1729-4061.2018.140561
  • Views 56
  • Downloads 0

How To Cite

Nikolai Maliavski, Olga Zhuravlova (2018). Calculation of polycondensation equilibria in aqueous solutions of silica and silicates. Восточно-Европейский журнал передовых технологий, 4(6), 48-55. https://europub.co.uk/articles/-A-528089