A solid-liquid phase diagram for the uranium-titanium system shows the regions of phase stability as a function of the temperature and overall composition. The phases are (1) a liquid mixture of uranium and titanium, (2) solid uranium, (3) solid titanium, and (4) a solid phase compound with the formula TiU\(_2\). The phase boundaries are solid black lines. Above all phase boundaries, only a liquid mixture is stable; its mole fraction is indicated by the red dotted line. At any point inside the phase boundaries, two phases are stable. The phases and their relative amounts are shown in the bar graph. Horizontal lines, called tie lines, connect two phases in equilibrium. The lever rule is used to calculate the relative amounts of the two phases, which are shown on the bar graph. The relative amount of a phase is proportional to the dashed line of the same color.
The amounts of the phases are calculated from the lever rule:
\(\frac{n_1}{n_2} = \frac{L_2}{L_1}\)
where,
The relative amounts in the bar chart are calculated from:
\(\frac{n_1}{n_1 + n_2}\) and \(\frac{n_2}{n_1 + n_2}\)
This simulation was created in the Department of Chemical and Biological Engineering at University of Colorado Boulder for LearnChemE.com by Sanjay Baskaran under the direction of Professor John L. Falconer and Michelle Medlin. It is a JavaScript/HTML5 implementation of a Mathematica simulation that was created by Lisa M. Goss and modified by Rachael L. Baumann. It was prepared with financial support from the National Science Foundation (DUE 2336987 and 2336988) in collaboration with Washington State University. Address any questions or comments to LearnChemE@gmail.com.