$30m\frac{g}{L}$ alum dose is applied to a coagulation treatment plant with a capacity of $43,200\frac{m^3}{d}(0\mathrm{.}5\frac{m^3}{s}),$ calculate:

a$)$ the amount of NaOH that would need to be added to counteract the consumption of alkalinity by alum $($expressed in $m\frac{g}{L}$ as $CaC{O}_3)$

b$)$ the amount of precipitate produced in $m\frac{g}{L}$ and $k\frac{g}{?}$ day

$A{l}_2(S{O}_4{)}_3*14H_{2}O+6$NaOHlongrightarrow$2Al(OH{)}_3+3N{a}_{2}S{O}_4+14H_{2}O$