This paper reports the modelling and initial results of a complete self-consistent physico-chemical model for a SF 6 -N 2 circuit-breaker arc plasma. We calculate the free-recovery temperature decay and species densities in a uniform zero-dimensional space according to a collisional-radiative plasma model in combination with an energy balance for pure SF 6 , pure N 2 and an equimolar mixture of the two. Cooling by radiation, thermal conduction and diffusion is considered by using simple models. Among the vast amount of results, it is found that the electron-removal processes like attachment and recombination in a N 2 plasma are far less efficient than those in a SF 6 plasma. Besides this, heating of the recovering N 2 plasma caused by exothermic associative reactions dominates over cooling. All this indicates a low current-interruption capability when it is applied in gas circuit breakers. In order to estimate this interruption capability we will use this model in combination with Boltzmann analysis to determine whether the arc plasma recovers or re-ignites under the influence of electron-impact processes and the inherent electrical field strength in part II of this paper.