In this paper, non-equilibrium kinetics and transport processes in a viscous hypersonic flow of reacting CO2/CO/O-2/C/O mixture are studied 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 and the influence of non-equilibrium kinetics on transport properties is studied. A five-temperature model for a non-equilibrium flow suitable for applications is derived from the kinetic theory and used for the evaluation of transport properties of considered mixture under re-entry conditions. The paper presents the closed set of non-equilibrium flow equations, expressions for transport properties and results of calculations.