Ion exchange $(30$ points$)$

a$.$ Determine the mass of nitrate removed in a day to meet MCL$.$

b$.$ Determine the equivalents of nitrate removed in a day to meet MCL$.$

c$.$ Determine the number of days the system can operate.

d$.$ Calculate the volume of water treated.

e$.$ What is the closest answer above?

A contaminated water contains $14$ mg$-$N$/$L $(14-$mg as nitrogen$/$L$)$ of nitrate and needs be

treated to $8$ mg$-$N$/$L to meet the USEPA MCL$.$ Ion$-$exchange will be loaded into a $10,000$

liter volume vessel to treat a flow rate of $5,000$ m $3/$d$.$ If the vessel is loaded full of ion$-$

exchange, what is the total volume water can be treated before breakthrough occurs $(8$

mg$-$N$/$L$)?$ The ion$-$exchange resin that will be used has a bulk density of $675$ g$/$L and has a

nitrate capacity of $0\mathrm{.}9$ eq$/$L$.$

The volume of water that can be treated $($m$3)$ is most nearly:

A$.21,500$ B$.7,400$ C$.122,000$ D$.500,000$