Because of mathematical modelling, the region of existence of the component composition of a complex inorganic sorbent designed to remove residual concentrations of cesium ions from low-level radioactive aqueous solutions was determined. The olay they limited by x1 – the number of nanoparticles of the iron oxide component from 18 to 19.5 ml, by x2 - the amount of copper ferrocyanide from 0.9 to 1.05 g, by x3 – the amount of Portland cement from 0.88 to 0.95 g. The determined concentrations of the complex inorganic sorbent provide for the removal of cesium ions from 98 to 100% and the capacity of the complex inorganic sorbent from 9 to 9.5 mg/g. According to the data on the frequencies of occurrence of the variation factors and their products in terms of their influence on the degree of cesium ion extraction from solution and the sorption capacity of the complex inorganic sorbent, they ranked in the following sequence, namely: х1х2х3>х1х2>х2х3>х1х3>х3>х2>х1. The influence of variation factors on other properties of the initial parameters is less relevant.
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