The present work is about a comparative thermodynamics performance analysis between a refrigeration cycle that uses an ejector as a refrigerant expander and a standard vapor compression cycle. In the first step, a steady state mathematical model based on the first law of thermodynamics is developed for each one of previous cycles. A special attention is given to the ejectors model. A performance simulation is shown to this component, from previously thermodynamics conditions set up your mathematical mode is separately solved through a iterative process by a sequential solution method. In the second step a second Law of thermodynamics, or exergy analysis, in the steady state, is presented for each one of the equipament of the cycles. The obtained results showed that theoretically, the use of an ejector at the proposed conditions of this work, improves in a significant way the performace of standard vapor- compression cycle.