The gasification of sugarcane cutting waste (RAC) is a process that occurs in a gasifier where the transformation of this raw material into a solid-state and a gasifying agent with a moderate calorific value occurs, thanks to the application of heat. Under restricted oxygen levels, we can say that several styles of air gasifiers, water vapor, oxygen, and hydrogen have a performance that can be analyzed and categorized by their performance to avoid damage to the environment. The objective of this article is based on the mathematical development of gasification of cane cutting waste; it was carried out as a transformation of the primary fuel into a stream of gases whose main components are CO2 and H2, which can be separated relatively easily by their concentrations, and available pressures and in some cases in their temperatures; which helped to identify the second-order reaction in the transformation and improvement of the process; applying to the optimization of development in the capture of carbon dioxide, contributing to the reduction of greenhouse gases.