A slurry pond has a volume of 6 x 106 m or 1.57 billion US gallons and a surface area of 100 acres. It is full to the brim. The suspended solid volume fraction in the slurry at the start was 42%. Below this pond is a freshwater pond, volume 3.2 x 106 m and it is also filled to the brim. The fresh-water pond initially contained no suspended solids, and a river is below it into which its discharge will flow. A sudden flash flood from the nearby land poured water (assume free of solids) at a rate of 8 105 m/hour into the slurry pond. The run-off thoroughly stirred the suspension and a slurry discharge flowed from the slurry pond into the fresh-water pond at the same volumetric rate. The pond was also well stirred, and its discharge then flowed into the river at the volume rate above. (A) Derive a relationship for the volume concentration of solids in the freshwater pond as a function of time. (B) At what instant is the maximum amount of solid waste being discharged into the river? What is this rate (volume of solids/hour)?