Abstract: Polymeric mixes are crucial materials, yet it can be difficult to control and comprehend their behaviour. Although it gives a rudimentary grasp of the underlying thermodynamic processes, the original Flory-Huggins theoretical technique has little to no predictive ability and fails to appropriately characterise the majority of actual systems. It computes statistical thermodynamics using a lattice model. In this study, we provide a method that we have developed based on the lattice integral equation theory, which not only provides fresh insights into the behaviour of polymers and their mixes but also accurately depicts the data from the literature on polymer mixtures.