Gas-liquid scattering experiments are used to investigate reactions of Cl-2 with a 2.7 M NaBr-glycerol solution at 291 K. Only the single and double halogen exchange products, BrCl and Br-2, are observed to desorb from solution. When Cl-2 molecules strike the surface at thermal collision energies, 76% desorb as Cl-2 before reacting, 1% react to form BrCl, and 23% react to form Br-2. Residence time measurements, modeled by mass-transfer equations for absorption, diffusion, reaction, and evaporation, were used to determine the time and depth scales for Cl-2 escape and BrCl and Br-2 production. This modeling indicates that Cl-2 molecules desorb from the interfacial region in less than 1 mu s or are attacked within this time by Br- ions and irreversibly captured as Cl2Br-. The products BrCl and Br-2 are created primarily within the top few monolayers of the solution and then evaporate on average 12 and 28 mu s after Cl-2 initially reacts with Br-. Notably, Br-2 is not generated from BrCl via Cl2Br- -> BrCl + Cl- and BrCl + Br- -> Br2Cl- but from the parallel reaction Cl2Br- + Br- -> Br2Cl- + Cl- that bypasses the BrCl intermediate. Br-2 is then likely released through two pathways, Br2Cl- -> Br-2 + Cl- and Br2Cl- + Br- -> Br-3(-) + Cl-, followed by Br-3(-) <-> Br-2 + Br-. The experiments demonstrate that single and double halogen exchange reactions can occur rapidly and close to the surface even when the products are created by multiple sequential reactions.