$8-9$ Using Eqs. $(8-20)$ and $(8-21),$ compare the amount of sludge wasted daily as $($a$)$ VSS$,($b$)$ TSS$,$ and $($c$)$ biomass for operation at an SRT of $10$ and $20d$ for the following wastewater and design conditions. Assume all of the influent TKN is biodegradable and complete nitrification to $N{O}_3-N$ with no significant $N{O}_2-N$ present $($less than $0\mathrm{.}10m\frac{g}{L}).$ Repeat the calculation without accounting for cell debris. How much error is introduced?

$\backslash$table$[[$Parameter$,$Unit,,Value$],[$Flowrate$,\frac{m^3}{d},,15,000],[$Influent BOD,$m\frac{g}{L},,200],[$Effluent BOD,$m\frac{g}{L},,2],[$Influent TKN$,m\frac{g}{L},,35],[$Effluent $N{H}_4-N,m\frac{g}{L},,0\mathrm{.}5],[$Heterotrophic yield, $Y_H,g$ VSS$/$g bCOD,,$0\mathrm{.}4],[$Heterotrophic decay, $b_H,gVS\frac{S}{g}VSS*d,,0\mathrm{.}10],[$Cell debris yield, $f_d,$g VSS$/$g VSS$,,0\mathrm{.}15],[$Nitrifier yield, $Y_n,gVS\frac{S}{g}N{H}_4-N,,0\mathrm{.}18],[$Nitrifier decay, $b_n,gVS\frac{S}{g}VSS*d,,0\mathrm{.}12],[$nbVSS$,m\frac{g}{L},90,],[$Wastewater $1,140,70,100],[\backslash$table$[[$Wastewater $2],[$Wastewater $3]],,120,120],[\backslash$table$[[$Wastewater $3],[$Temperature$]],,80,80],[,C,280,15]]$

Note: Wastewater $1$ is selected