Problem $3(12$ points$)$

A lake has natural inflow with a flow rate of $10,000\frac{m^3}{y}$ear and alkalinity of $100m\frac{g}{L}$ as $CaC{O}_3.$ If the lake's alkalinity is to be at a steady state level of $50m\frac{g}{L}$ as $CaC{O}_3,$ what input rate of sulfuric acid $(H_{2}S{O}_4)$ is possible $($in moles$/$year and $g{H}_{2}S\frac{O_4}{?}$ year$)?$