Generalized form of alpha function to acentric factor is established for alpha function introduced in our recent study (P. Mahmoodi, M. Sedigh, Second derivative of alpha functions in cubic equations of state, J. Supercrit. Fluids. (2016). doi:10.1016/j.supflu.2016.05.012.). It is shown that proposed generalized alpha function meet all suggested criteria of consistent alpha function by Le Guennec et al. and also it gives correct predictions for C-v and C-p values. Moreover in subcritical and supercritical temperature ranges thermodynamic packages (combination of a CEoS and an alpha function) with the proposed alpha function have superior accuracy. Eventually, results demonstrate that thermodynamic package consist of the SRK EoS, the proposed generalized form of alpha function in this study and classical mixing rule by binary interactions hired from PPR78, is very accurate in vapor-liquid equilibria prediction of highly asymmetrical hydrocarbon mixtures. (C) 2016 Elsevier B.V. All rights reserved.