In this paper the kinetic description of a viscous reacting flow of CO2/CO/O-2/C/O mixture is proposed on the basis of the kinetic theory methods. Vibrational excitation of CO2, CO and O-2 molecules as well as non-equilibrium dissociation, recombination and exchange reactions are taken into account. A five-temperature model for a non-equilibrium flow is derived from the kinetic theory and used for evaluation of transport properties of the considered mixture at different temperatures and mixture composition. The paper presents the closed set of equations for macroscopic parameters, expressions for transport and source terms suitable for numerical simulations and results of calculations. The influence of non-equilibrium kinetics and mixture composition on transport properties in a flow is discussed. (C) 2011 Elsevier B.V. All rights reserved.