Abstract

Despite the popularization of ozone technologies in agriculture, the theoretical aspects of the interaction of an ozone-air mixture with grain material remain under study. The simplified assumption that the change in the amount of ozone absorbed by the grain is proportional to the initial gas concentration does not accurately describe this process. Attempts to analytically determine a certain constant of the rate of ozone absorption by a unit of grain volume were also unsuccessful. The resulting expression was transcendental at that time. Its solution was possible only when performing repetitive calculations, that is, using the iteration method on a personal computer. The use of the modern Matlab application software package made it possible to establish a constant rate of ozone absorption per unit grain volume. However, the experiments have shown that during the experiment this constant changes significantly, including depending on the conditions, therefore this theoretical approach requires clarification. The laws known in physics describing the diffusion process have been adapted to the ozone treatment process. The application of the Langmuir-Schaefer equation for the number of ozone molecules adsorbed on the grain surface and Fick's second law made it possible to determine the rate of ozone diffusion and the change in ozone concentration over time, taking into account the characteristics of the grain pile. A dependence was obtained for the ozone diffusion coefficient, which characterizes the ability of grains to absorb ozone through cell membranes, and the ozone decomposition constants. Under normal storage conditions, these temperature-dependent values can be considered constant. The analytically obtained dependences will allow us to determine the ozone diffusion coefficient and the ozone decomposition constant experimentally.

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