Name

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$12.$ An aerobic complete$-$mix treatment process is used to degrade carbohydrate mixture. The amount of bSCOD $($i$.$e$.,$ BOD$)$ in the influent is $2500\frac{g}{m^3}$ and the influent nbVSs concentration is $100\frac{g}{m^3}.$ The influent flowrate is $800\frac{m^3}{d}.$ The aerobic tank biomass concentration is $1500\frac{g}{m^3},$ the reactor bsCOD is $2\mathrm{.}5\frac{g}{m^3},$ and the reactor volume is $300m^3.$ The cell debris fraction $f_d$ is $0\mathrm{.}10.$

Using bioenergetics, determine the true cell yield in g cells as VSS$/$g COD used for carbohydrate utilization by heterotrophic bacteria with oxygen as the electron acceptor, and ammonia as the nitrogen source. Assume $65\%$ energy catpture efficiency. Table $7-6$ from your textbook is attached. For biomass $(C_5{H}_{7}N{O}_2),1g$ cells $=1\mathrm{.}42g$ COD. $(20$ points$)$

Using the true cell yield you obtained, determine the net biomass yield, and the observed solids yield. Maximum specific substrate utilization rate $k$ is $\frac{6}{d},$ half$-$velocity constant $Ks$ is $15\frac{g}{m^3},$ and specific endogenous decay coefficient $b$ is $0\mathrm{.}10g$ VSS $\frac{?}{g}$ VSS $*.(20$ points$)$