Are the temperatures of the components of a homogeneous mixture of two gases in the state of thermodynamic equilibrium equal?

It is shown that in the state of thermodynamic equilibrium of a two-component mixture of gases the mean kinetic energies of different kinds of molecules are unequal. Binary (nonmultiplicative) two-temperature distribution functions corresponding to the state of thermodynamic equilibrium have been found. In the general case, the equilibrium temperatures of mixture components turned out to depend on molecular masses and concentrations. The transition to a one-component gas leads to the commonly known results.