A NEW METHOD FOR TIELINE CALCULATIONS IN BINARY-FLUID SYSTEMS

We describe a method to determine tielines for a mixture with a given volume V-t and a given mole fraction x(t) at fixed temperature, which is based on the orientation of the tangent plane to the Helmholtz free energy surface. The method works equally well for gas-liquid separati on as for liquid-liquid separation. The method is based on a rotation in coordinate space followed by a rotation in function space which est ablishes the correct direction and the end points of the tieline, The mathematics is described and the general outline of a computer program to implement the method is given, This is followed by an application to a special form of the van der Waals equation, which describes the i nfluence of chain-molecules as proposed by Tompa. The example given sh ows a three phase separation and the influence of the chain-length the reupon.