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The 1-D fluid model of the two-barrier Xe-Cl2 excilamp radiating at wavelength of 308 nm is developed. The radiation is excited in a 4-mm gas gap between dielectric-layers-covered metallic electrodes using the dielectric barrier discharge (DBD). The spatio-temporal characteristics of the DBD for 0.99Xe-0.01Cl2 mixture at pressure 250 torr are simulated at applying to the electrodes sinusoidal voltage with a frequency of 100 kHz and an amplitude of 4.25 kV. The average power density inputted in the discharge is 2.8 W/cm3 per cycle and outputted in the form of the ultraviolet emission is 0.78 W/cm3 per cycle. It is shown that additive of 1% molecular chlorine to xenon allows getting ~90% radiation on XeCl* molecule band (308 nm) at the discharge radiative efficiency ~26%. For most parts of the voltage cycle, the Xe-Cl2 plasma is electronegative, and the most abundant ions are Xe2+ and Cl-. However, at propagation of a current pulse over discharge gap, the plasma becomes electropositive near dielectric surface, where the most abundant charged particles become electrons and Xe+ ions.