FTP, identify these mixtures that violate Raoult's law by having vapor compositions identical to their liquid components, and cannot be separated by simple distillation.
Swietoslawski defined a tangent type of this system, which often occurs during the production of coal tar and petroleum.  An early power series to model these systems was developed in 1918 by Lecat, while two functions modeling them are the Prigogine equation and the Malesinski equation.  The Gibbs-Konovalov laws may be used to derive minimum and maximum temperatures and pressures for these systems  One type characterized by top-ridge lines is known as the "saddle" or "positive-negative" type.  These systems may be depicted on triangular diagrams involving residue curves for each specific component, and they are commonly distilled using a Dean-Stark apparatus.  FTP, identify these mixtures that violate Raoult's law by having vapor compositions identical to their liquid components, and cannot be separated by simple distillation.
Swietoslawski defined a tangent type of this system, which often occurs during the production of coal tar and petroleum.  
{azeotropes}