Any mixture of M1 and M2 would be along line M1M2Р’В . Figure 5РІР‚вЂ8 shows two different mixtures represented by M1 and M2. These 3 rules could be applied to the combination of any two mixtures represented on the ternary. In Figure 5РІР‚вЂ7.c, point M is a mixture of ( Mb / Bb ) of component РІР‚ВBРІР‚в„ў and (1 РІР‚вЂњ Mb / Bb ) of binary mixture РІР‚ВbРІР‚в„ў of РІР‚ВAРІР‚в„ў and РІР‚ВCРІР‚в„ў. Ratios can then be determined by dividing these segments by the entire corresponding line, by the so-called inverse-lever-arm rule, as shown in the Figure 5РІР‚вЂ7.c. The lengths of these lines, as well as the lengths of the segments between the point and the corresponding sides, are measured individually. Straight lines are drawn from each corner, through the point of interest, to the corresponding side of the triangle.

The third method is based upon a larger number of measurements, but does not require the drawing of perpendicular lines. The distances (the ratios of the distances to the total height of 100%) give the content of each of the species, as shown in Figure 5РІР‚вЂ7.b. For phase diagrams that do not possess gridlines, the easiest way to determine the composition is to set the altitude of the triangle to 100% (that is equal to the sum of all altitudes from the mixture point to three sides) and determine the shortest distances from the point of interest to each of the three sides. For a given point, the fraction of each of the three materials in the composition can be determined by the first. By drawing parallel lines at regular intervals between the zero line and the corner (Figure 5РІР‚вЂ7.a), fine divisions can be established for easy estimation of the content of a species. The percentage of a specific species decreases linearly with increasing distance from this corner, as seen in Figure 5РІР‚вЂ7. The concentration of each species is 100% (pure phase) in its corner of the triangle and 0% at the line opposite it. The first method is an estimation based upon the phase diagram grid. There are three common methods used to determine the ratios of the three species in the composition. The vertexes represent the pure components, and the sides of equilateral triangle are scaled to represent the binary compositions of the three possible pairs. The volume percentage is used only when there is not significant volume change during the mixing.

Compositions could be represented in ternary diagram as weight, mole or volume percentage. Every point on a ternary plot represents a different combination of the three components. A ternary diagram for hypothetical components A, B and C is shown in Figure 5РІР‚вЂ7.The phase behavior on ternary diagram is plotted at fixed pressure and temperature and If these three components were miscible at that special temperature and pressure then no multiphase region would appear on the diagram. The advantage of using a ternary plot for depicting compositions is that three variables can be conveniently plotted in a two-dimensional graph and mixture of different components can be easily represented.

Ternary or triangular phase diagrams can be used to plot the phase behavior of systems consisting of three components by outlining the composition regions on the plot where different phases exist.

Fundamentals of Fluid Flow in Porous MediaР”В¬hapter 5 Miscible Displacement Fluid Phase Behavior: Tertiary Diagram

Pennlite ternary diagram answers