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The use of CO2 for adsorption cooling system is attractive and interesting. the production of solar cooling adsorption using activated carbon possesses many advantages: nontoxic and nonflammable natural refrigerant, with zero ozone depleting potentiel, negligible global warming potentiel for refrigeration and operating with solar thermal energy. A computer program written in Fortran language has been developed to provide us with the time-space evolution of temperature and average fluid content and to optimize the heat and mass transfers performance using activated-carbon/CO2 pair in Monastir city (Tunisia) during sorption phenomena. The main numerical results showed that activated carbon / methanol pair is more efficient than activated carbon / CO2 pair. COPs is less than 0.206 and 0.098 for activated-carbon/methanol and activated-carbon/CO2 pairs, respectively. The temperature is strongly related to mass desorbed. So, to improve the solar coefficient of performance COPs, it is necessary to have a large evaporation temperature and a low condensation temperature.