Consider a ternary mixture of benzene, toluene, and -xylene. This ideal mixture is composed of nonpolar compounds and has average relative volatilities, with respect to -xylene, equal to and . It is possible to find numerical solutions for the exact value of the bubble temperature (shown in red in the triangular diagram) for any liquid mixture containing the three components, using the built-in Mathematica function FindRoot. An approximate value (shown in blue in the triangular diagram) can be obtained more easily from the following analytical expression, which uses the Antoine constants for -xylene (i.e., , and ), the relative volatilities (i.e., and ), Dalton's law, and the Antoine equation: