In this work, Flory-Huggins phase diagrams for correlated random copolymers with realistic chain lengths are calculated. This is achieved in two steps. At first we derive a distribution function of copolymer chains respect to composition and blockiness. Then used the method moments, which was developed by Sollich Cates [Sollich, P.; Cates, M. E.; Phys. Rev. Lett. 1998, 80, 1365-1368] polydisper...