The specific conductances are measured for sodium polystyrene sulfonate in water and methanol-water mixture. The equivalent conductivity data against concentration are evaluated by scaling concept. The effects of the solvent composition and the polyelectrolyte concentration on the fractions of uncondensed counterions , the polyion conductivities , the standard state free energies of counterion association , and the polyion transference number are calculated. The charge density of sodium polystyrene sulfonate was used for the research article [1] to see the variation of the critical aggregation concentration of cetyltrimethyl ammonium bromide in sodium polystyrene sulfonate against the charge density of sodium polystyrene sulfonate.