The non-equilibrium turbulent wake of a sharp nosed body is considered. Approximate integral solutions are given for the distribution of species and for the thermal properties of the wake. The method used essentially represents an extension to the case of a reacting wake of the method of Lees and Hromas which was originally developed for an equilibrium wake. In the chemical kinetic model studied, particular attention is paid to the processes of far downstream electron decay and the appropriate oxygen attachment reactions are investigated. Some simple explicit solutions for the species diffusion in the wake are considered and detailed numerical calculations are given for both a simple dissociating gas and for a full air chemistry calculation. Finally, the scaling laws exhibited by these calculations are discussed. (Author).