Q$3.$

A complete$-$mix activated sludge treatment plant is designed to treat $10,000m^3$ of wastewater daily. The plant's primary clarifiers are capable of removing $40\%$ of influent BOD. The following information is given for the system design:

Influent BOD of primary clarifier: $350m\frac{g}{L}$

Plant effluent BOD: $20m\frac{g}{L}$

Wasted and recycle solids concentration: $12,000m\frac{g}{L}$

HRT: $4hr$

Synthesis yield, Y: $0\mathrm{.}5kg$ biomass $\frac{?}{kg}$ BOD.d

Endogenous decay rate, $k_d$:$0\mathrm{.}055d^{-1}$

Based on the above information and Table $1\mathrm{.}0,$ determine:

$($i$)$ Influent BOD of aeration tank

$($ii$)$ Aeration tank volume

$($iii$)$ MLSS concentration in the aeration tank

$($iv$)$ F$/$M ratio

$($v$)$ Volumetric loading rate

$($vi$)$ Quantity of wasted sludge daily

$($vii$)$ The flow rates of streams A$-$E $($in Figure $1\mathrm{.}0)$ in $\frac{m^3}{d}ay$