Question $2(15$ points$).$ A local brewery is expanding through relocation. The brewery operator has contracted

you to design a bioreactor to treat the brewery waste. In speaking with the operator, you learn that the waste

stream flow is $40\frac{m^3}{h}r$ and load $($i$.$e$.,$ concentration of the component of principle concern$)$ is $45m\frac{g}{L}.$ The

biological process you are envisioning can be described using a first$-$order rate coefficient of $3$ day ${?}^{-1}.$ Effluent

from the new treatment facility $($i$.$e$,$ bioreactor$)$ will be discharged into a river. The discharge permit specifies

that load in the river cannot exceed $0\mathrm{.}5m\frac{g}{l}$ assuming a river flow rate of $1\mathrm{.}000\frac{m^3}{h}r.$ Design the reactor.