A utility draws $50,000/$d of water from its water supply reservoir. After the local corn$-$growing season, the herbicide Alachlor $()$ is discovered in the reservoir at a concentration of $10$ g$/$L$.$ The utility decides to add PAC to remove the Alachlor. The Freundlich isotherm parameters for Alachlor adsorption onto the selected PAC are: $$and n $=0\mathrm{.}26.$ If the goal is to bring Alachlor to below the MCL in drinking water $(2$ g$/$L$),$ and the system reaches equilibrium, how much PAC must be added to the water each day $($kg$/$day$)?$