Polyacrylamide (PAM) was used as a model polymer to build up an empirical model that relates polymer molecular weight, polymer concentration and solution viscosity. The desired random copolymers of acrylamide (AM) and N,N-dimethylacrylamide (DMA) used as DNA separation media for different specifications were synthesized under the guidance of the empirical model. The separation performances of rationally designed copolymers were tested in a 1.2 cm long separation channel, simulating microchip-based capillary electrophoresis. pBR322/HaeIII digest was successfully separated with good separation resolution and fast speed. Validation of the sieving ability of our polymers was performed in the Agilent 2,100 Bioanalyzer. The results of the 10 bp (base pair) DNA ladder separation demonstrate the potential of our approach for the sieving matrix in microchip-based electrophoresis.