Problem $16$: Water Supply Contamination: Consider the situation described in Problem $14.$ Suppose that the released contaminant was not conservative, as assumed in the original problem, but follows a first order rate law. If s$-1.$ Assume KL $=56$ m$2/$s$.($a$)$ In the original problem, a maximum concentration of $0\mathrm{.}20$ mg$/$L was observed at the water treatment plant intake. What is the new maximum concentration now observed at the intake assuming first order decay as described above? $($b$)$ Similar to part $($c$)$ of the original problem, determine how many hours the plant must be shut down due to contamination. $($c$)$ Similar to part $($d$)$ of the original problem, determine the length of the contaminated section of the river $($C$>0\mathrm{.}03$ mg$/$l$)$ at the time the maximum concentration passes the intake.