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gases generally consist of mainly12C and about 1.1. of 13C. It is wel known that a stable carbonisotope, 13C, has been widely used for the applications of medical, pharmaceutical, and agricultural tracers. As a result,the development of the separation and concentrating technology of 13C can cause of high value-added products and thepossibility of the generation of ral, there are two kinds of approaches to obtain a stable 13Cisotope by the separation of cryogenic distillation. One is to obtain a concentrated 13CH4 isotope from natural gas.Another approach is to get concentrated 13CO by distillation followed by a chemical reaction of CH4 and H2O. In thisstudy, rigorous process simulations of the cryogenic distillation have been performed and analyzed for the concentratedseparation of 13C isotopes from LNG and NG by using comercial process simulator. Due to the very smal diferencesof relative volatilities and separabilities of 12C and 13centration of 13C need special strategies and feasibility studies. Utilization of vapor pressure data to acentric factor inSRK equation of state and optimized process conditions have been able to predict for the effective of the separation yieldand concentration of 13C for the cryogenic distillation. The various operation strategies for both batch and continuouscryogenic distillation are also studied and sugested for the basic design of the process. Development of this study canprovide a tool for the efective design and operation of the cryogenic separation of 13C.