The evaporation process is to separate the mixtures by partial evaporation inside the membrane. In this research, a mathematical model has been developed by considering mass and momentum transfer to model dehydration through the process of evaporation and evaporation. This process involves removing water from the liquid mixture (water / acetic acid and water / acetone) using a dense polymer membrane. The scope of the model was divided into two parts including feed and membrane. The Wilk-Chang method was used to describe the transfer of water in the feed solution, while the molecular diffusion mechanism was assumed for mass transfer within the membrane. The governing equations were numerically solved using the finite element method.Experimental data were compared and analyzed with model data. In this study, the effect of parameters such as volumetric flow rate, temperature, mass fraction as well as feed properties (flux) on the efficiency of the dehydration process was evaluated. The output was performed, the Tansig activation algorithm was used for the hidden layer, and the Purelin algorithm was used for the output layer, the results obtained by the above method were of good accuracy. Evaluation of the evaporation efficiency of the separation of acetone and acetic acid from water was compared, and finally the graphs were drawn. The error rate of these compounds at 50 ° C is 0.0191and 0.00332, respectively.Input compounds include (10% water/90% acetic acid, 10% water/ 0% acetone). We examine the flux through the membrane by Fick and Maxwell-Stephen models and compare the results with experimental data. The amount of error obtained from the comparison of experimental data and Fick model-0.0217 and -0.042, respectively, and the amount of error obtained from the comparison of experimental data with Maxwell-Stephan model, respectively-0.0144, -0.01.