$6.\backslash ((60\backslash$mathrm$\{$pt$\})\backslash )$ Given the settling data in the following table from tests with mixed liquor from an activated sludge plant, determine $(1)$ the gravity solids flux, $(2)$ underflow solids flux and the total solids flux, $(3)$ the limiting solids flux and $(4)$ the maximum underflow solids concentration, $(5)$ the maximum MLSS concentration that can be maintained in the aeration tank $($hint: use biomass mass balance$),$ and $(6)$ the MLSS concentration with one clarifier using an underflow solids concentration of $\backslash (12\backslash$mathrm$\{$~g$\}/\backslash$mathrm$\{$L$\}\backslash ).$ The secondary clarifier surface overflow rate, $\backslash (\backslash$mathrm$\{$Q$\}/\backslash$mathrm$\{$A$\}\backslash )$ has been fixed $\backslash (1\mathrm{.}0\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$h$\}\backslash )$ and the return rate $\backslash (\backslash$mathrm$\{$Q$\}\_\{\backslash$mathrm$\{$R$\}\}\backslash )$ is equal to $75$ percent of Q $.$ Assume that influent MLSS concentration, the solids wasting rate $\backslash (\backslash$mathrm$\{$Q$\}\_\{\backslash$mathrm$\{$w$\}\}\backslash ),$ and the cell growth rate within the reactor are negligible in this problem.

$-$ For this question, please submit a separate Excel file to prove your procedure. You may write the equations and answers in your main answer paper.