A raw wastewater has a flowrate of $10,000m\frac{3}{d}$ and an influent BOD concentration of $250m\frac{g}{L}.$ The primary clarifier removes $30\%$ of the BOD prior to secondary treatment. The permit requires that the effluent $BO{D}_5$ be $17m\frac{g}{L}$ or less and the TSS concentration be less than $18m\frac{g}{L}.$ Use the low$-$end values for the values of growth constants for domestic wastewater given in your textbook $($Table $8-10).$ Assume the mixed liquor concentration will be $2,500m\frac{g}{L}$ in the aeration basin and the VSS:TSS ratio is $0\mathrm{.}80($VSS $=80\%TSS)$ in the effluent. Determine the following:

a$.$ Effluent soluble $BO{D}_5$ concentration in $m\frac{g}{L}$

b$.$ Mean cell residence time $($d$)$

c$.$ Hydraulic detention time $($hr$)$

d$.$ Volume of the aeration basin $($gal$)$

e$.$ Mass of BOD substrate consumed per day $(k\frac{g}{d}$

f$.$ Waste activated sludge produced per day $(k\frac{g}{d})$

g$.$ Oxygen requirements $((\frac{b}{d})$ assuming that $BO{D}_5=65\%(BO{D}_u)$