Abstract
Statistical processing of the data for multicomponent aqueous systems with a molecular character of the solutions confirms the planarity of the compositions of saturated solutions, expressed in wt % on the lines of monovariant equilibria and in nonvariant points for systems with all types of solutions (ionic, ionic–molecular, and molecular), proving the colligative property of solutions saturated by two or more solid phases.
Similar content being viewed by others
Notes
“Component” is in this case a mathematical term, not to be confused with the chemical components of the system.
Since matrix K is symmetrical diagonally, the eigenvalues and eigenvectors have real values.
REFERENCES
V. L. Chechulin and S. A. Mazunin, Izv. Vyssh. Uchebn. Zaved., Khim. Khim. Tekhnol. 53, 152 (2010).
V. L. Chechulin and S. A. Mazunin, Russ. J. Gen. Chem. 82, 199 (2012).
V. L. Chechulin and S. A. Mazunin, Russ. J. Gen. Chem. 82, 199 (2012).
V. L. Chechulin, S. A. Mazunin, and M. S. Moiseenkov, Flatness of Lines of Univariant Equilibrium in Water-Salt Systems and Its Application (Perm. Gos. Nats. Issled. Univ., Perm, 2012) [in Russian].
M. N. Noskov, Cand. Sci. (Chem.) Dissertation (Perm, 2015).
V. L. Chechulin, S. A. Mazunin, and O. A. Zakolodkina, Vestn. Permsk. Univ., Ser. Khim., No. 2, 106 (2014).
S. A. Mazunin and V. L. Chechulin, Izv. Vyssh. Uchebn. Zaved., Khim. Khim. Tekhnol. 58 (3), 42 (2015).
S. A. Aivazyan, V. M. Bukhshtaber, I. S. Enyukov, and L. D. Meshalkin, Applied Statistics: Classification and Dimension Reduction, The Handbook, Ed. by S. A. Aivazyan (Finansy Statistika, Moscow, 1989) [in Russian].
V. E. Gmurman, Probability Theory and Mathematical Statistics, The Manual, 10th ed. (Vyssh. Shkola, Moscow, 2004) [in Russian].
V. L. Chechulin, in University Studies, 2009–2014, Collection of Articles (Perm. Gos. Nats. Issled. Univ., Perm, 2015), p. 227 [in Russian].
V. I. Krylov, V. V. Bobkov, and P. I. Monastyrnyi, Computational Methods of Higher Mathematics, Ed. by I. P. Mysovskikh (Vysheish. Shkola, Minsk, 1972), Vol. 1 [in Russian].
S. A. Mazunin, M. N. Noskov, and A. V. Elsukov, Russ. J. Inorg. Chem. 62, 539 (2017).
S. A. Mazunin, M. N. Noskov, and A. V. Elsukov, Russ. J. Inorg. Chem. 62, 539 (2017).
S. A. Mazunin and A. V. Elsukov, Russ. J. Inorg. Chem. 62, 545 (2017).
S. A. Mazunin and A. V. Elsukov, Russ. J. Inorg. Chem. 62, 545 (2017).
S. A. Mazunin, Physicochemical Analysis in Chemistry and Chemical Technology (Perm. Gos. Nats. Issled. Univ., Perm, 2014) [in Russian].
F. H. C. Kelly, J. Appl. Chem. 5, 120 (1955).
F. E. Young, J. Phys. Chem. 56 (9) (1952).
F. H. C. Kelly, J. Appl. Chem. 4, 405 (1954).
F. H. C. Kelly, J. Appl. Chem. 4, 622 (1954).
V. B. Kogan et al., Reference Book on Solubility (Akad. Nauk SSSR, Moscow, Leningrad, 1961–1967) [in Russian].
F. E. Young, J. Phys. Chem. 61 (5) (1957).
E. Frank and F. T. Jones, J. Phys. Chem. 53, 1334 (1949).
S. H. Yalkowsky, Y. He, and P. Jain, Handbook of Aqueous Solubility Data, 2nd ed. (CRC, Boca Raton, 2010).
Author information
Authors and Affiliations
Corresponding authors
Additional information
Translated by E. Boltukhina
Rights and permissions
About this article
Cite this article
Mazunin, S.A., Chechulin, V.L. Planarity of the Compositions of Different Types of Multiply Saturated Aqueous Solutions. Russ. J. Phys. Chem. 93, 59–66 (2019). https://doi.org/10.1134/S0036024418120300
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0036024418120300