Determine the $($a$)$ lime and soda doses for the hardness removal unit of the Scaly Pipe City to achieve a final hardness of $85m\frac{g}{L}$ as $CaC{O}_3.$ The water quality analysis is given below. The $pH$ of the water is $7\mathrm{.}8.($b$)$ Report the total hardness, carbonate hardness and non$-$carbonate hardness $($mg$/$L as $CaC{O}_3).($c$)$ Calculate the split ratio, and the final hardness if the split treatment is utilized $(m\frac{g}{L}$ as $CaC{O}_3),$ if split treatment was applied would the hardness removal goal reached?

$\backslash$table$[[$Compound$,$Concentration as $($:$CaC{O}_3\}$