The effects of charge exchange on waves propagating in weakly ionized plasmas are discussed. It is shown that for low-frequency processes, ions and neutrals should be treated as a single fluid with some effective charge on all of them. We have derived a new momentum equation which should be used in such an environment. As a result, the low-frequency magnetic waves can propagate even if particles are not magnetized, which is entirely due to the charge exchange and the fact that it is not possible to separate particles into two different populations as charged and neutral species. So there can be no friction force between ions and neutrals in the usual sense. The mean force per particle is proportional to the ionization ratio ni/(ni + nn). Regarding the application of the theory to the Alfvén wave propagation in the lower solar atmosphere, the results predict that the plane of displacement of the fluid must change by 90 deg when an Alfvén wave propagates from the area where particles are un-magnetized (photosphere) to the area where they are magnetized (chromosphere). Because of the most accurate cross-sections which we have here, it is possible to very accurately determine altitudes at which such rotation of the Alfvén wave takes place.