An impedance spectroscopy study of the Ag\As0.24S0.36Ag0.40\Ag system has been performed, yielding an equivalent circuit model describing Ag+ transport and reaction processes in the bulk electrolyte and at the electrodes. The unsupported solid electrolyte exhibits characteristic finite length Warburg impedance in series with a solution resistance and an electric double layer, all in parallel with a geometric capacitance. By varying the electrode area and separation, the efficacy of the equivalent circuit model is demonstrated by the accuracy with which the model predicts changes in the impedance spectra. These results help explain the ionic behavior of Ag+ in Ag-doped chalcogenide glass and the associated microstructure of the solid electrolyte, further elucidating the photodissolution process by which the ternary is prepared.