Mass Balance Question:

A $30\%$ w$/$w suspension of calcium carbonate in water is to be made by suspending lime $($Ca$($OH$)2)$ in water and bubbling through boiler flue gases containing $12\mathrm{.}5\%$ by volume of CO$2$ gas. The reaction is:

Ca$($OH$)2+$ CO$2->$ CaCO$3+$ H$2$O

Calculate the charge to the reactor to produce a $5$ tonne batch of the CaCO$3$ slurry. What volume of the flue gases, measured at $1\mathrm{.}0$ bar pressure and $298$K$,$ is required if $90\%$ of the CO$2$ is absorbed$?$ How could the completion of the reaction be detected?