The conventional activated sludge reactor for Chateauguay receives the primary effluent from problem $2.$ The following growth and kinetic coefficients apply to the conditions of the reactor: $K_S=100m\frac{g}{L},k_d=0\mathrm{.}05d^{-1},Y=0\mathrm{.}4mg\frac{x}{m}gBO{D}_L$ removed, ${}_m=2\mathrm{.}5d^{-1}.$

a$)$ If ${}_c=6$ days, what is the soluble $BO{D}_L$ effluent concentration, $S,m\frac{g}{L}?$

b$)$ What is the sludge production in terms of $Y_{\text{o}\text{b}\text{s}},mg\frac{x}{m}g{S}_0($influent $BO{D}_L$ to aeration basin$)?$

c$)$ What is the sludge production in terms of $P_x,kgVS\frac{S}{d}?$

d$)$ If $=6$ hours, what is the concentration of MLVSS$,x,$ in the reactor?

e$)$ What is the volume of liquid in the reactor?

f$)$ What is the actual oxygen demand or transfer rate, AOTR,$k\frac{g}{d}?$