Determination of the electrical and molar conductivity of water decompose silver-nitrate solution through modeling the system by differential equations

Abstract

This work deals with problematical of approximate determination of the electrical and molar conductivity water solutions silver-nitrate with method of formation system approximate differential equations of first order. The solution of the issue would be of great significance for practice and research in the electrochemistry, since the above-mentioned equations are based on experimental measurements of electrical and molar conductivity of the analyzed electrolytes. Very precise, reliable and useful results are obtained in very short period of time if such equations solved by Runge-Cute method of the forth order, using the appropriate functions of the Matlab Computer Program. Thus, the characteristics of the electrolytes are expressed by the numerical values of the variables, which enables the analysis of working regime and revision of the parameters' or certain quantity impact on system characteristics.

U radu je predložen novi način modeliranja dinamičkih sistema baziran na formiranju sistema aproksimacionih linearnih diferencijalnih jednačina prvog reda za približno određivanje električne i molarne provodljivost provodljivosti vodenog rastvora srebro-nitrata. Rešavanje ovog pitanja je od velikog značaja za praksu i istraživanja u oblasti elektrohemije, a navedene jednačine se postavljaju na osnovu eksperimentalnih merenja električne i molarne provodljivosti razmatranog elektrolita. Rešavanjem tako postavljenih jednačina metodom Runge-Kuta četvrtog reda pomoću odgovarajućih funkcija Matlab računarskog programa, dobijaju se veoma precizni, pouzdani i zadovoljavajući rezultati za relativno kratko vreme. Na taj način se dobijaju karaktetistike elektrolita u vidu numeričkih vrednosti promenljivih, što omogućuje analizu režima rada i ispitivanje uticajnih parametara na osobine sistema.