Abstract: In view of the chemical reaction engineering incorporating the chemical reation with membrane separation, one dimensional mathematical model for the dehydrogenation of isobutane in a continuous plug flow membrane reactor was developed on the basis of some theoretical assumptions. The model was solved numerically by a four order variable step Runge Kutta method. Using this model, effects of various operating parameters, such as reaction temperature, space velocity, flow rate of the purge gas, molar ratio of nitrogen to isobutane in the feed gas, and pressure of the feed gas on the conversion increment of isobutane in the membrane reactor were simulated. There was some deviation between the simulated values and experimental results, but the trends of mathematical simulation were the same as that of the experiment.