The general transfer integrals describing the collisional exchange of
momentum and energy between the constituents of multicomponent gases a
re evaluated for different plasma scenarios characterized by Maxwellia
n as well as non-Maxwellian distribution functions of the plasma speci
es. Following a brief presentation of the standard approximation frequ
ently employed in the literature, a comparison of numerical evaluation
s of the transfer integrals for various distribution functions reveals
significant differences in the corresponding collisional momentum and
energy exchange rates, which are shown to depend mainly on the core s
tructure of the distributions. We demonstrate the inadequacy of the st
andard approximation and hence the importance of an accurate evaluatio
n of the transfer integrals with an application to the electron-proton
as well as the helium-proton interaction in the solar wind plasma.