Previous work had indicated that the molecular weight calculated from the equilibrium distribution of DNA in a CsCl density gradient appears to be one half the estimated value of the true molecular weight. In the present study, the sedimentation equilibrium of a polyclectrolyte in a density gradient generated by a low molecular weight electrolyte is treated in terms of the representation according to which a constant fraction of the counterions is considered permanently immobilized and the remaining fraction completely free. Equations for the preferential hydration and the molecular weight are obtained. The validity of the treatment is tested by applying it to experimental data on the equilibrium sedimentation of ϕX 174 DNA in CsCl, and it is found that the molecular weight calculated in this way is in agreement with the accepted value for this molecule. Also, recalculation of published data on density gradient centrifugation of T2 DNA in CsCl according to the present treatment brings up the molecular weight to within the range of values given by other methods.