A new cubic equation of state (CEOS) is proposed based on temperature-pressure superposition principle. A generic CEOS form, with the Peng-Robinson parameters, is used and a temperature-dependent attractive term a(T) is developed, allowing an easy calculation of thermodynamic properties and vapor-liquid equilibrium. The new equation is applied to pure polymer and polymer solutions and its results are compared with those of two others equations of state. For polymer solutions, two mixing rules without binary interaction parameters were used. The vapor-liquid equilibrium (VLE) predictions showed good agreement with experimental data as well as pressure-volume-temperature (PVT) behavior of polymer liquids, attesting the appropriate form of the new equation proposed. (C) 2010 Elsevier B.V. All rights reserved.