Ozone is sometimes used as a disinfectant for drinking water because it quickly deactivates pathogens. The reaction is approximately first-order with respect to ozone with an ozone half-life of 12 minutes. A water supplier wants to inject ozone into a pipe that brings water into its water treatment plant to pre-disinfect the influent. The pipe has a diameter of 0.5 m and is 1000 m long. Water flows through the pipe at a rate of 10 m3/min. What concentration of ozone (mg/L) should be present at the head of the pipe to ensure a residual ozone concentration of 1 mg/L at the end of the pipe, where the water is discharged into the plant