Assuming you have been sent to a drinking water treatment plant in the USA for an internship or work placement and you were informed that the flow of raw water to the coagulation system is $1\mathrm{.}0$ m$3/$s$.$ You are then presented with the datasheet of a polymer to be used as coagulant and the concentration of the polymer is to be $0\mathrm{.}40$ mg$/$L on an $$as sold$$ basis. The polymer datasheet states that it is approved for clarification of potable water at dosages $<=1\mathrm{.}0$ mg$/$L and the polymer density $($as supplied$)$ is $1\mathrm{.}064$ kg polymer emulsion per litre emulsion $($i$.$e$.,1\mathrm{.}064$ kg$/$L$).$ Determine:

$($a$)$ The rate of feed flow of neat $($i$.$e$.,$ undiluted$)$ polymer solution $(3$ marks$).$

$($b$)$ The amount of polymer in barrels required for $6$ months of storage if the volume of the barrel to be used for polymer storage is $208.2$ L $(3$ marks$).$

Note: The $$as sold$$ basis means as it comes out of the container. For example, a $10$ mg$/$L solution means that $10$ mg of product from the container is associated with $1000$ mL of raw water, that is$,10$ mg product per litre of raw water.