Its two intersections identify the compositions of the phases that coexist under the selected temperature or pressure. The overall composition does not generally represent either phase individually; it lies between the two endpoint compositions. Reading both boundaries therefore connects the bulk mixture to the specific equilibrium phases present at that condition.
The lever rule determines relative phase amounts from the distances between the overall composition and the two endpoints. A phase has a larger fraction when the overall composition lies farther from that phase’s endpoint and closer to the opposite endpoint. This geometric relationship converts the diagram into quantitative phase proportions.
The selected temperature or pressure determines which horizontal position is used on the phase diagram. Moving to another condition can place the line at different intersections with the phase boundaries, changing the compositions assigned to the coexisting phases. Phase amounts may also change because the distances used in the lever rule change.
First, identify the specified temperature or pressure and locate the mixture’s overall composition. Then draw or select the horizontal line across the relevant two-phase region, read the compositions at its boundary intersections, and measure the distances from the overall composition to both endpoints. Those distances provide the inputs for estimating relative phase amounts.
The overall composition describes the complete binary mixture, whereas each endpoint represents one phase in equilibrium with the other. Comparing these positions shows that coexisting phases can have different compositions even though they form from the same bulk material. This distinction is essential when interpreting liquid-liquid, solid-liquid, or solid-solid regions.
They help interpret phase equilibria in materials chemistry, metallurgy, and chemical process design. In these settings, the method can identify the compositions of coexisting phases and, when paired with the lever rule, estimate their relative amounts. The same graphical approach applies across liquid-liquid, solid-liquid, and solid-solid two-phase regions.