I will present a model of motion of compressible mixture of chemically reacting species based on a complete system of Navier-Stokes(-Fourier) equations. The system includes a general form of diffusion deriving forces in which the variation of total pressure is taken into account. I will discuss sequential stability of weak solutions and present the main ideas of the proof of global in time existence of weak solutions without any restriction on the size of initial data. This talk is based on several joint results with P.B. Mucha (Univerity of Warsaw), M. Pokorn?y (Charles University in Prague) and V. Giovangigli (Ecole Polytechnique).