The second-order rate constant for the reaction between hydroxyl radicals and tetrachloroethylene is 1.0 10^7 L/mols. A wastewater treatment plant is treating 5000 m^3/day of wastewater containing 200 mg/L of tetrachloroethylene. The plant wants to reduce the tetrachloroethylene concentration to below 5 mg/L using an AOP process. The AOP process will use hydrogen peroxide at a concentration of 200 mg/L and a UV light intensity of 20 mW/cm^2. What size of an ideal plug flow reactor (in m^3) will be needed to achieve this goal?