A grit basin $($Type $1$ Settling: Discrete Settling$)$ is to be designed to remove grit with the following size distribution $(50$ pts$)$: Size Percent by Mass $>200$ mm $8\%100-200$ mm $14\%50-100$ mm $15\%10-50$ mm $28\%5-10$ mm $10\%3-5$ mm $12\mathrm{.}5\%2\mathrm{.}7-3$ mm $12\mathrm{.}5\%$ A$.$ Estimate a settling velocity for each group of particles. You may assume that the geometric mean can be used to represent the typical particle size in each group. Assume the density of the particles is $2,650$ kg$/$m$3$ and the temperature of the water is $20$ deg C$.($Note: Excel is encouraged but not required.$)$ B$.$ Select an overflow velocity for a circular, up$-$flow grit sedimentation basin that will remove all of the particles larger than $2\mathrm{.}7$ mm$.$