You have been asked to design an advanced oxidation process for the degradation of the following micro pollutants. Assume the concentration of hydroxyl radicals is kept constant within the treatment basin. The average monthly flowrate to the treatment plant has also been provided.

k $($L$/$mol$.$s$),$ MW $($g$/$mol$),$ Ci $($mg$/$L$),$ Ce $($mg$/$L$)$

Chloroform: k$=5000000,$ MW$=119,$ Ci$=0\mathrm{.}75,$ Ce$=0\mathrm{.}1$

Dioxane: k$=2800000000,$ MW $=88,$ Ci$=120,$ Ce$=4$

TCE: k$=10000000,$ MW$=131,$ Ci$=0\mathrm{.}11,$ Ce$=\mathrm{.}005$

Flow rate $($m$3/$s$)$: Jan$=0\mathrm{.}33,$ Feb$=0\mathrm{.}31,$ Mar$=0\mathrm{.}305,$ Apr$=0\mathrm{.}31,$ May$=0\mathrm{.}33,$ Jun $=0\mathrm{.}37,$ Jul$=0\mathrm{.}4,$ Aug$=0\mathrm{.}42,$ Sep$=0\mathrm{.}44,$ Oct$=0\mathrm{.}42,$ Nov$=0\mathrm{.}39,$ Dec$=0\mathrm{.}3$

a$)$ Determine the required hydraulic residence time $($in hr$)$ to ensure sufficient degradation of contaminants.

b$)$ Determine the average hydraulic residence time $($in hr$)$ if the treatment process is designed such that it has sufficient capacity eleven months out of the year.

c$)$ Determine the treatment basin dimensions $($in m$).$