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EN
The polyphosphoric acids (PPA) were synthesized in a cascade reactors system from P2O5  obtained from the burning of Kazakh phosphorus. Presented system provides guidelines for the PPA production process using phosphoric acids only at concentrations above 100% (in conversion to H3PO4 ). Polyphosphoric acids are processed in a cascade reactors system, where the in 1st  concentration of PPA is increased by addition of P2O5, while in the 2nd reactor PPA is diluted with the use of 85% phosphoric acid. Produced PPA can be obtained in the 100–118% range and is characterized by high chemical purity due to the reduction of the corrosivity of the reaction, which results in very low content of iron (below 2 ppm Fe).
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EN
It is discussed the using of dynamic programming method to optimize the parameters of the cascade of ideal mixing reactors, which is held isothermal first order reaction. It is found, that the minimum volume of the cascade of reactors corresponds to the minimum residence time of substance in this cascade. The optimum value of residence time for all reactors are equal and all ratio of input and output concentrations are equal, hence, and all volumes of reactors are also equal. A total volume of the cascade of reactors is less than the amount single. Application of the method of dynamic programming is illustrated with an example of the calculation of the polymerization in a cascade of four reactors according to the literature experimental data.
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