$.$ PAC can be added to a batch reactor to treat a contaminated water.$$ What is the daily PAC usage $($in Kg$/$day$)$ for a batch reactor if the flow rate is $1,000$ m$3/$day for the following two waters?$$ Assume that the temperature and pH of the waters is the same as those of the isotherm.$$ Use the Freundlich isotherm $[$K $=70\mathrm{.}8($mg$/$g$)($L$/$mg$)1/$n$$ and $1/$n $=0\mathrm{.}20]$ for these calculations.

a$.$For a water with an influent phenol conc. of $600$ mg$/$L and an effluent phenol conc. of $5$ mg$/$L$,$ what is daily PAC usage $($in Kg$/$day$)?$

b$.$ For a water containing an influent phenol conc. of $50$ mg$/$L and requiring an effluent phenol concentration of $0\mathrm{.}7$ mg$/$L $(700$ mg$/$L$),$ what is daily PAC usage $($in Kg$/$day$)?$