The present work develops a computationally effective one-dimensional sub grid set in numerical integration for density formulation from thermal plasma. The model incorporates two-body and more collision effects throughout Carbon plasma using continuity equation. The carbon gas inter electrode gap is accelerated by the electric field to produce plasma. In this model the reaction processes of carbon species is identified. The extrapolation of species dominant in arc discharge process is critical issue in significant for predicting carbon nanostructure production. In this paper, we describe chemical kinetic models and their possibilities of carbon ion and neutral species production based on collisions and time dependence. The results show the reaction rate of Carbon ions calculated at 7.85 × 10<sup>28</sup> m<sup>-3</sup> s<sup>-1</sup> while the temperature increment decreases, the reaction rate is up to 6.25 × 10<sup>27</sup> m<sup>-3</sup> s<sup>-1</sup>. The electron density reduces until 10<sup>8</sup> m<sup>-3</sup> from initial condition at 1 atm. However, the electron density increases 10<sup>13</sup> m<sup>-3</sup> from 0.05 eV-0.3 eV. The ionization of Carbon reaction has been affected by pressure and temperature which gains a quantitative understanding of the density at equilibrium state.