This article is devoted to the development of fundamentally new methods for the experimental determination of the physical properties of substances - methods of their joint determination, when not a single property is measured, but two physical properties connected with each other. For example, this is the coefficient of surface tension σ of the liquid and the contact angle θ of wetting the surface by it, which here act as parameters of capillary forces at the interface. The purpose of such methods is not so much a banal arithmetic increase in the obtained experimental data, as a significant increase in their determination accuracy by reducing the statistical error (variance). In such cases, we have the so-called methods of indirect (indirect) measurement, which in this case are based not on the measurement of σ and θ directly, but on the measurement of the height h and weight ∆W of the meniscus hanging on a vertical surface, and on the subsequent solution of the resulting system of two equations that are analytical expressions for h and ∆W (i.e., a system of two equations with two unknowns: σ and θ). In the case of using a Wilhelmy plate in the experiment, the solution of such a system of equations leads to explicit analytical expressions for both unknowns (σ and θ), and in the case of using a cylindrical filament in the experiment, analytical expressions for the unknowns are obtained in an implicit form: in this case, to determine the value of the boundary of the angle θ, a recursive formula is proposed.
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